Which of the following statements is true? a. At equilibrium BOTH the rate of the forward reaction equals that of the reverse reaction AND the rate constant for the forward reaction equals that of the reverse. b. The equilibrium state is dynamic even though there is no change in concentrations. c. The equilibrium constant for a particular reaction is constant under all conditions. d. Starting with different initial concentrations will yield different individual equilibrium concentrations and a different relationship of equilibrium concentrations. e. None of these is true.

Answers

Answer 1

Answer:

a) True

Explanation:

a) From the definition of the equilibrium. When a reversible reaction is carried out in a closed vessel, a stage is reached when the forward and the backward reactions proceed with the same speed. This stage is known as chemical equilibrium.


Related Questions

During a phase change, the temperature of a substance ____

decreases

increases

may increase or decrease

remains constant

Answers

Answer:

During a phase change, the temperature of a substance remains constant

Explanation:

Step 1:

During phase change, the energy that is required, will be used to separate the molecules ( to change phase).

This energy is not used to change the temperature.

Since the kinetic energy of the molecules remains the same, the temperature of the substance remains constant.

Calculate the standard free energy change for the combustion of one mole of methane using the values for standard free energies of formation of the products and reactants. The sign of the standard free energy change allows chemists to predict if the reaction is spontaneous or not under standard conditions and whether it is product-favored or reactant-favored at equilibrium.

Answers

Answer:

The standard free energy of combustion of 1 mole of methane = -801.11 kJ

The negative sign shows that this reaction is spontaneous under standard conditions.

The negative sign on the standard free energy also means this combustion reaction is product-favoured at equilibrium.

Explanation:

The chemical reaction for the combustion of methane is given by

CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(g)

The standard free energy of formation for the reactants and products as obtained from literature include

For CH₄, ΔG⁰ = -50.50 kJ/mol

For O₂, ΔG⁰ = 0 kJ/mol

For CO₂, ΔG⁰ = -394.39 kJ/mol

For H₂O(g), ΔG⁰ = -228.61 kJ/mol

ΔG(combustion) = ΔG(products) - ΔG(reactants)

ΔG(products) = (1×-394.39) + (2×-228.61) = -851.61 kJ/mol

ΔG(reactants) = (1×-50.50) + (2×0) = -50.50 kJ/mol

ΔG(combustion) = ΔG(products) - ΔG(reactants)

ΔG(combustion) = -851.61 - (-50.5) = -801.11 kJ/mol

Since we're calculating for 1 mole of methane, ΔG(combustion) = -801.11 kJ

- A negative sign on the standard free energy means that the reaction is spontaneous under standard conditions.

- A positive sign indicates a non-spontaneous reaction.

- A Gibb's free energy of 0 indicates that the reaction is at equilibrium.

- A negative sign on the standard free energy also means that if the reaction reaches equilibrium, it will be product favoured.

- A positive sign on the standard free energy means that the reaction is reactant-favoured at equilibrium.

Hope this Helps!!!

g The aminium salt of an amine (e.g., R-NH3+) has a pKa of 9.8, and a small amount of this salt is added to a solution that is buffered at pH 11. If the pH changes to 10.6, then what fraction of the compound will be in the unprotonated, amine (amino) form? Enter your answer as a percent to the nearest ones.

Answers

Answer:

fraction of the compound will be in the unprotonated, amine (amino) form is evaluated to be 83.37%

Explanation:

check the attachment for explicit explanations.

Using the Henderson-Hasselbalch equation, we determine that approximately 86% of the compound will be in the unprotonated, amine form after the pH change from 11 to 10.6.

We can use the Henderson-Hasselbalch equation to find the ratio of the protonated form to the unprotonated form:

Henderson-Hasselbalch equation:

[tex]pH = pK_a + log([A^-]/[HA])[/tex]

Insert the known values:

[tex]10.6 = 9.8 + log([R-NH_2]/[R-NH_3^+])[/tex]

Rearrange to solve for the ratio of [tex][R-NH_2][/tex] to [tex][R-NH_3^+][/tex]:

[tex]10.6 - 9.8 = log([R-NH_2]/[R-NH_3^+])[/tex][tex]0.8 = log([R-NH_2]/[R-NH_3^+])[/tex]

Raise 10 to the power of both sides to remove the logarithm: [tex]10^{0.8} \approx 6.31[/tex]

This ratio means that for every mole of the protonated form ([tex]R-NH_3^+[/tex]), there are about 6.31 moles of the unprotonated form [tex][R-NH_2][/tex].

To find the fraction of the compound in the unprotonated form, we can use:

Fraction of unprotonated form = [tex](R-NH_2) = [R-NH_2] / ([R-NH_2] + [R-NH_3^+])[/tex]Fraction = 6.31 / (6.31 + 1)Fraction = 6.31 / 7.31 [tex]\approx[/tex] 0.863

Convert this fraction to a percentage:

[tex]0.863 \times 100 \approx 86%[/tex]

Therefore, approximately 86% of the compound will be in the unprotonated, amine form.

A chemical engineer must calculate the maximum safe operating temperature of a high-pressure gas reaction vessel. The vessel is a stainless-steel cylinder that measures 31.0 cm wide and 37.2 cm high. The maximum safe pressure inside the vessel has been measured to be 5.90 MPa. For a certain reaction the vessel may contain up to 3.27 kg of chiorine pentafluoride gas. Calculate the maximum safe operating temperature the engineer should recommend for this reaction. Write your answer in degrees Celsius. Round your answer to 3 significant digits.

Answers

Answer:

523°C

Explanation:

Step 1:

Data obtained from the question.

Diameter (d) = 31.0 cm

Height (h) = 37.2 cm

Pressure (P) = 5.90 MPa

Mass of ClF5 = 3.27 kg

Temperature (T) =?

Step 2:

Determination of the volume of the stainless-steel cylinder.

Volume of cylinder = πr^2h = π/4d^2h

V = π/4 x (31)^2 x 37.2

V = 28077.36 cm3

Converting the volume to L, we have:

1 cm3 = 0.001 L

Therefore, 28077.36 cm3 = 28077.36 x 0.001 = 28.07736 L

Step 3:

Conversion of 5.90 MPa to atm.

1 MPa = 9.869 atm

Therefore, 5.90 MPa = 5.90 x 9.869

= 58.2271 atm

Step 4:

Determination of the number of mole of chiorine pentafluoride gas (ClF5). This is illustrated below:

Molar Mass of ClF5 = 35.5 + (19x5) = 35.5 + 95 = 130.5g/mol

Mass of ClF5 = 3.27kg =3.27x10000

Mass of ClF5 = 3270g

Number of mole = Mass /Molar Mass

Number of mole of ClF5 = 3270/130.5

Number of mole of ClF5 = 25.057 moles

Step 5:

Determination of the temperature.

Applying the ideal gas equation

PV = nRT, the temperature T, can be obtained as follow:

P = 58.2271 atm

V = 28.07736 L

n = 25.057 moles

R (gas constant) = 0.082atm.L/Kmol

T=?

PV = nRT

Divide both side by nR

T = PV /nR

T = (58.2271x28.07736)/(25.057x0.082)

T = 795.68 K

Step 6:

Conversion of Kelvin temperature to celsius temperature.

°C = K - 273

K = 795.68 K

°C = 795.68 - 273

°C = 523°C

Therefore, the maximum safe operating temperature the engineer should recommend is 523°C

Which of the following descriptions about standard addition and internal standards are NOT correct?

a) Internal standard is useful when the matrix in the unknown is complicated.
b) Standard addition could be a single standard addition or multiple standard additions to an unknown solution.
c) Standard addition is useful when the matrix in the unknown is complicated.
d) Internal standard is used when instrument response varies from run to run.

Answers

Final answer:

Internal standards and standard addition are techniques used in analytical chemistry to ensure accuracy. The incorrect statement is about the use of internal standards.

Explanation:

Internal standards and standard addition are both techniques used in analytical chemistry to ensure the accuracy and reliability of quantitative measurements. In internal standard method, a known amount of a compound is added to all samples and standards, which allows for compensation of errors that may occur during sample preparation and analysis.

Standard addition, on the other hand, involves adding known amounts of a standard solution to an unknown solution to determine the concentration of the analyte of interest. It can be a single standard addition or multiple standard additions, depending on the requirements of the analysis.

Based on the given options, the incorrect description is:

d) Internal standard is used when instrument response varies from run to run.

The correct answer is a) Internal standard is useful when the matrix in the unknown is complicated.

Let's analyze each option to understand why option (a) is incorrect:

a) Internal standard is useful when the matrix in the unknown is complicated.

This statement is incorrect because it confuses the roles of internal standards and standard addition.

An internal standard is a substance that is added in a constant amount to all samples, including the calibration standards and the unknowns. It is used to correct for any variations in the analytical procedure, such as changes in instrument response, sample preparation, and matrix effects that affect the analyte's signal.

However, it is not specifically used because the matrix is complicated; rather, it is used to account for variations in the analytical process. The complexity of the matrix is typically addressed by the standard addition method, which involves adding known quantities of the analyte to the sample to overcome matrix effects.

b) Standard addition could be a single standard addition or multiple standard additions to an unknown solution.

This statement is correct. Standard addition can involve adding a known amount of analyte to the sample once (single standard addition) or several times (multiple standard additions) to construct a calibration curve.

This method is used to compensate for matrix effects that might not be accounted for by using external calibration alone.

c) Standard addition is useful when the matrix in the unknown is complicated.

This statement is correct. The standard addition method is particularly useful for samples with complex matrices that can interfere with the analysis.

By adding known amounts of the analyte directly to the sample, the method allows for the determination of the analyte's concentration while accounting for the matrix effects.

d) Internal standard is used when instrument response varies from run to run.

This statement is correct. An internal standard is used to normalize the response of the analyte and to correct for any variations in the analytical procedure, including changes in instrument response over time.

It helps to ensure the accuracy and precision of the analytical results, regardless of the variations that occur between different runs of the analysis.

Therefore, the statement in option (a) is the one that is not correct, as it misrepresents the use of internal standards in the context of complex matrices.

Arrange these 3 reactions according to increasing DS. (1) CH4(g) H2O(g) --> CO(g) 3 H2(g) (2) C(s) O2(g) --> CO2(g) (3) H2O2(l) --> H2O(l) 1/2 O2(g) 1 < 3 < 2 2 < 3 < 1 2 < 1 < 3 3 < 2 < 1 3 < 1 < 2

Answers

Answer:

1 < 3 < 2.

Explanation:

Entropy is the measurement of the degree of disorderliness in a system. The term ''entropy" is one of the important aspect in kinetics and thermodynamics. Entropy is designated with the alphabet symbol "S" and a change in entropy is ∆S.

The main idea in order to solve this question is very simple. Let us make reference to your clothes that you wear. At first, your clothes when you wear them, they are neat and clean but as time goes by the clothes will get dirty, this is a layman example of entropy.

Okay, let me explain further if you look at the first reaction you will notice that we have 2 moles in the reactant sides and 4 moles in the products sides, which means that the entropy has increased.

CH4(g) + H2O(g) --> CO(g) + 3 H2(g).

For the second equation, the entropy is increasing because the the solid reactant produces a gaseous product.

But in this reaction the number of moles of the products has decreased.

C(s) + O2(g) --> CO2(g)

For the third Equation, the the state changes from liquid to gas.

H2O2(l) --> H2O(l) + 1/2 O2(g)

Note that the entropy increases from solid to liquid to gas. That is, gas has the highest degree of entropy and solid has the lowest degree of entropy.

Look at reaction (1) gas to gas.

Look at Reaction (2) solid to gas( great improvement/Increament).

Look at Reaction (3) liquid to gas( increases).

How many grams of NaCl are needed to prepare 50.0 grams of 35.0% of salt solution?

Answers

Answer:

17.5 g

Explanation:

Given data

Mass of solution to be prepared: 50.0 gramsConcentration of the salt solution: 35.0%

The concentration by mass of NaCl in the solution is 35.0%, that is, there are 35.0 grams of sodium chloride per 100 grams of solution. We will use this ratio to find the mass of sodium chloride required to prepare 50.0 grams of a 35.0% salt solution.

[tex]50.0gSolution \times \frac{35.0gNaCl}{100gSolution} = 17.5gNaCl[/tex]

Final answer:

To prepare a 50 gram 35% salt solution, you need 17.5 grams of NaCl.

Explanation:

To find out how many grams of NaCl are needed to prepare 50.0 grams of a 35.0% salt solution, you use the definition of percent concentration by mass: (mass of solute/mass of solution) x 100%. The mass of the solution is the total mass, which is the sum of the mass of the solute (NaCl in this case) and the solvent (usually water). For a 35% solution, this means that 35 grams of NaCl are in every 100 grams of solution.

However, we want to prepare 50 grams of solution. So, you set up a ratio: (35 g NaCl/100 g solution) = (x g NaCl/50 g solution). Solving this equation, you find that x = 17.5. Therefore, 17.5 grams of NaCl are needed to prepare a 50 gram 35% salt solution.

Learn more about Salt Solution Preparation here:

https://brainly.com/question/35910758

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A titration is performed to determine the amount of sulfuric acid, H2SO4, in a 6.5 mL sample taken from car battery. About 50 mL of water is added to the sample, and then it is titrated with 43.37 mL of a standard 0.5824 molar NaOH solution. You balanced this reaction in a previous problem. How what is the molar concentration of sulfuric acid in the original sample

Answers

Answer: The molar concentration of sulfuric acid in the original sample is 1.943 M

Explanation:

To calculate the molarity of acid, we use the equation given by neutralization reaction:

[tex]n_1M_1V_1=n_2M_2V_2[/tex]

where,

[tex]n_1,M_1\text{ and }V_1[/tex] are the n-factor, molarity and volume of acid which is [tex]H_2SO_4[/tex]

[tex]n_2,M_2\text{ and }V_2[/tex] are the n-factor, molarity and volume of base which is NaOH.

We are given:

[tex]n_1=2\\M_1=?\\V_1=56.5mL\\n_2=1\\M_2=0.5824M\\V_2=43.37mL[/tex]

Putting values in above equation, we get:

[tex]2\times M_1\times 56.5=1\times 0.5824\times 43.37[/tex]

[tex]M_1=0.2235[/tex]

Now to calculate the molarity of original solution:

[tex]M_1\times 6.5=0.2235\times 56.5[/tex]

[tex]M_1=1.943[/tex]

Thus the molar concentration of sulfuric acid in the original sample is 1.943 M

Final answer:

The molar concentration of sulfuric acid in the original 6.5 mL sample is calculated to be approximately 1.9436 M, based on titration with a 0.5824 M NaOH solution.

Explanation:

Determining the Concentration of Sulfuric Acid in a Sample Using Titration:

To determine the molar concentration of sulfuric acid, H2SO4, we will use the data that 43.37 mL of a 0.5824 M NaOH solution was needed to titrate a 6.5 mL sample of the acid.

Firstly, we calculate the moles of NaOH used in the titration:

Moles of NaOH = Volume (in Liters)  imes Molarity

Moles of NaOH = 0.04337 L  imes 0.5824 mol/L

Moles of NaOH = 0.02526888 mol

According to the balanced chemical equation, H2SO4 + 2NaOH
ightarrow Na2SO4 + 2H2O, the stoichiometry of the reaction is 1:2. This means one mole of sulfuric acid reacts with two moles of sodium hydroxide. Thus, the moles of H2SO4 will be half of the moles of NaOH used.

Moles of H2SO4 = 0.02526888 mol / 2

Moles of H2SO4 = 0.01263444 mol

Now, we calculate the molarity of the sulfuric acid in the original sample:

Molarity of H2SO4 = Moles of H2SO4 / Volume of sample in liters

Molarity of H2SO4 = 0.01263444 mol / 0.0065 L

Molarity of H2SO4 = 1.9436 M

Therefore, the molar concentration of the sulfuric acid in the original sample is approximately 1.9436 M.

he growth of baker's yeast (S. cerevisiae) on glucose may be simply described by following equation CH,,06 3 02 0.48 NH,-> 0.48 C6H,,No, 4.32 H,O 3.12 CO2 yeast In a batch reactor of volume 10 1, the final desired yeast concentration is 50 gdw/1. a. Determine the concentration and total amount of glucose and (NH4),SO4 in the nutrient medium. b. Determine the yield coefficients YxIs (biomass/glucose) and Yro (biomass/oxygen). c. Determine the total amount of oxygen required. d. If the rate of growth at exponential phase is r, 0.7 gdw/l-h, determine the rate of oxygen consumption (g O,/1-h) e. Calculate the heat-removal requirements for the reactor (recall equation 6.26).

Answers

Answer:

Explanation:

Find attached the solution

Complete Question (in order)

The growth of baker's yeast (S. cerevisiae) on glucose may be simply described by following equation:

C₆H₁₂0₆ +  30₂ + 0.48 NH₃ => 0.48C₆H₁₂NO₃ + 4.32H₂O + 3.12CO₂ yeast

In a batch reactor of volume 10 1, the final desired yeast concentration is 50 gdw/1.

a. Determine the concentration and total amount of glucose and (NH4)₂SO4 in the nutrient medium.

b. Determine the yield coefficients [tex]Y_{x/s}[/tex] (biomass/glucose) and [tex]Y_{x/o}[/tex] (biomass/oxygen).

c. Determine the total amount of oxygen required.

d. If the rate of growth at exponential phase is [tex]r_x[/tex] = 0.7 gdw/l-h, determine the rate of oxygen consumption (g O₂/1-h)

e. Calculate the heat-removal requirements for the reactor (recall equation 6.26).

Answer:

a. 2.3 × 10⁴ kg

b. 0.384 and 0.72

c. 6.94 × 10³ kg

d. 0.973

Explanation:

The given equation that describes the growth of baker's yeast on glucose

C₆H₁₂0₆ +  30₂ + 0.48 NH₃ => 0.48C₆H₁₂NO₃ + 4.32H₂O + 3.12CO₂ yeast

The volume of batch reactor is given as 10⁵ Liters

The final desired yeast concentration is 50 gdw/l

The following attached documents gives additional solution for all other answers

Consider the standard galvanic cell based on the following half-reactions The electrodes in this cell are and . Does the cell potential increase, decrease, or remain the same when the following changes occur to the standard cell? You may need to use the following data: Half-Reaction 0.80 0.34 a is added to the silver half-cell compartment (assume no volume change). increases decreases remains the same b is added to the silver half-cell compartment. [Hint: reacts with to form .] increases decreases remains the same c is added to the copper half-cell compartment. [Hint: reacts with to form .] increases decreases remains the same

Answers

Question: The question is incomplete and can't be comprehended. See the complete question below and the answer.

Consider a galvanic cell based upon the following half reactions: Ag+ + e- → Ag 0.80 V Cu2+ + 2 e- → Cu 0.34 V

How would the following changes alter the potential of the cell?

a) Adding Cu2+ ions to the copper half reaction (assuming no volume change).

b) Adding equal amounts of water to both half reactions.

c) Removing Cu2+ ions from solution by precipitating them out of the copper half reaction (assume no volume change).

d) Adding Ag+ ions to the silver half reaction (assume no volume change)

Explanation:

Nernst equation relates the reduction potential of an electrochemical reaction (half-cell or full cell reaction) to the standard electrode potential, temperature, and activities (often approximated by concentrations) of the chemical species undergoing reduction and oxidation.

Reaction under consideration:

Ag+ + e- → Ag 0.80 V

Cu+2 + 2 e- → Cu 0.34 V

Clearly, Ag reduction potential is high and this indicates that it gets reduced readily which leaves Cu to oxidize. Cu+2 ions are products of reaction and Ag+ ions are reactant ions.

Nernst equation : Ecell = E°cell­ – (2.303 RT / n F) log Q    

where                            

             Ecell = actual cell potential

             E°cell­ ­​ = standard cell potential

             R = the universal gas constant = 8.314472(15) J K−1 mol−1

             T = the temperature in kelvins

              n = the number of moles of electrons transferred                                    

 F = the Faraday constant, the number of coulombs per mole of electrons:

  (F = 9.64853399(24)×104 C mol−1)

 Q = [product ion]y / [reactant ion] x

Accordingly when applied to above reaction one will get the following

= E°cell­ – (2.303 x RT / 6 F) log [Cu+2] / [Ag+]

Now the given variables can be studied according to Le Chatelier's principle which states when any system at equilibrium is subjected to change in its concentration, temperature, volume, or pressure, then the system readjusts itself to (partially) counteract the effect of the applied change and a new equilibrium is established.

a)        Adding Cu2+ ions to the copper half reaction (assuming no volume change).

Addition of Cu+2 ions increases its concentration and consequently increases the Q value which results in reduction of Ecell. In other words the addition of Cu+2 ions favors the backward reaction to maintain the equilibrium of reaction and hence the forward reaction rate decreases.

b)       Adding equal amounts of water to both half reactions.

Addition of water increases the dilution of the electrochemical cell. For weak electrolytes such as Ag+/ Cu+2 with increase in dilution, the degree of dissociation increases and as a result molar conductance increases.

c)        Removing Cu2+ ions from solution by precipitating them out of the copper half reaction (assume no volume change).

Based on Le Chatelier's principle when Cu+2 ions amount is decreased by its continuous removal from  the system the forward reaction is favored. As the Cu+2 ions is removed the system attempts to generate more Cu+2 ions to counter the affect of its removal.

d)       Adding Ag+ ions to the silver half reaction (assume no volume change)

Addition of reactant ions, i.e. Ag+ ions, will favour the forward reaction, which results in more product formation.

A chemist dissolves of pure hydroiodic acid in enough water to make up of solution. Calculate the pH of the solution. Be sure your answer has the correct number of significant digits.

Answers

Final answer:

To calculate the pH of a hydroiodic acid solution, you need to determine the initial concentration of hydronium ions. For a 0.100 M solution of hydroiodic acid, the pH is 1.00.

Explanation:

The concentration of hydronium ion in a solution of hydroiodic acid can be expressed as the pH of the solution. To calculate the pH of the solution, you need to determine the initial concentration of hydronium ions. Since hydroiodic acid is a strong acid, you can assume that all of it dissociates. If you dissolve 0.100 mol of hydroiodic acid in enough water to make up 1.00 L of solution, the initial concentration of hydronium ions is 0.100 M. The pH of the solution can be calculated using the formula pH = -log[H3O+]. Therefore, the pH of the solution is -log(0.100) = 1.00.

Which of the following are correct statements about reactions?
Check all that apply.
A. If a reaction happens, it will be very fast.
B. During a reaction, a catalyst is always used up along with the
reactants.
C. A catalyst could decrease the activation energy of a reaction.
D. Some reactions can occur more slowly than others.

Answers

Answer:

I think it is D.

Explanation:

Answer: i know it d but i think it is c to

Explanation:

The colorless gas dinitrogen tetroxide decomposes to the brown colored air pollutant nitrogen dioxide and exists in equilibrium. A 0.125 mol sample of dinitrogen tetroxide is introduced into a 1.00 L container and allowed to decompose at a given temperature. When equilibrium is reached, the concentration of the dinitrogen tetroxide is 0.0750 mol/L. What is the value of Keq for this reaction? Are reactants or products favored?

Answers

Answer:

The Keq value for the reaction is 0.13

The reactants are favored in the reaction.

Explanation:

The equilibrium expression:  N[tex]^{2}[/tex]O4(g) ⇌ 2 [NO[tex]^{2}[/tex]](g)  

Keq = squared of  [NO[tex]^{2}[/tex]] divided by [N[tex]^{2}[/tex]O4]

Keq = squared of [0.10] divided by [0.075]

Keq = 0.13

Equilibrium constant (Keq) indicates what will be favoured at equilibrium, as it is a ratio that quantifies the position of a chemical equilibrium at a given temperature. It measures the extent to which reactants are converted to products.

If equilibrium constant is less than 1, the mixture contains mostly reactants. Which indicates more reactants are present at equilibrium. If equilibrium constant is equal to 1, then, the amount of products is roughly equal to the amount of reactants at equilibrium. If equilibrium constant is much greater than 1, more products are present at equilibrium.

In the question treated above, the reactants are N[tex]^{2}[/tex]O4(g). While, the products are: 2 [NO[tex]^{2}[/tex]](g).

The value of [tex]\( K_{eq} \)[/tex] is 0.1333. Since [tex]\( K_{eq} \)[/tex] is less than 1, the reactants are favored at equilibrium is 0.1333.

The value of [tex]\( K_{eq} \)[/tex] for the decomposition of dinitrogen tetroxide [tex](\( N_2O_4 \))[/tex] into nitrogen dioxide [tex](\( NO_2 \))[/tex] is calculated by the following equilibrium expression:

[tex]\[ K_{eq} = \frac{[NO_2]^2}{[N_2O_4]} \][/tex]

Given that the initial concentration of [tex]\( N_2O_4 \)[/tex] is 0.125 mol/L and the equilibrium concentration is 0.0750 mol/L, we can determine the concentration of [tex]\( NO_2 \)[/tex] at equilibrium by using the stoichiometry of the reaction:

[tex]\[ N_2O_4(g) \rightleftharpoons 2NO_2(g) \][/tex]

For every mole of [tex]\( N_2O_4 \)[/tex] that decomposes, 2 moles of [tex]\( NO_2 \)[/tex] are produced. The change in concentration of [tex]\( N_2O_4 \) (\( \Delta[N_2O_4] \))[/tex] is the initial concentration minus the equilibrium concentration:

[tex]\[ \Delta[N_2O_4] = [N_2O_4]_{initial} - [N_2O_4]_{equilibrium} \][/tex]

[tex]\[ \Delta[N_2O_4] = 0.125 \text{ mol/L} - 0.0750 \text{ mol/L} \][/tex]

[tex]\[ \Delta[N_2O_4] = 0.0500 \text{ mol/L} \][/tex]

Since 2 moles of [tex]\( NO_2 \)[/tex] are produced for every mole of [tex]\( N_2O_4 \)[/tex] that decomposes, the change in concentration of [tex]\( NO_2 \) (\( \Delta[NO_2] \))[/tex] is twice the change in concentration of [tex]\( N_2O_4 \)[/tex]:

[tex]\[ \Delta[NO_2] = 2 \times \Delta[N_2O_4] \][/tex]

[tex]\[ \Delta[NO_2] = 2 \times 0.0500 \text{ mol/L} \][/tex]

[tex]\[ \Delta[NO_2] = 0.1000 \text{ mol/L} \][/tex]

The equilibrium concentration of [tex]\( NO_2 \) (\( [NO_2]_{equilibrium} \))[/tex] is the initial concentration of [tex]\( NO_2 \)[/tex] (which is 0, since none was present initially) plus the change in concentration:

[tex]\[ [NO_2]_{equilibrium} = [NO_2]_{initial} + \Delta[NO_2] \][/tex]

[tex]\[ [NO_2]_{equilibrium} = 0 + 0.1000 \text{ mol/L} \][/tex]

[tex]\[ [NO_2]_{equilibrium} = 0.1000 \text{ mol/L} \][/tex]

Now we can calculate [tex]\( K_{eq} \)[/tex]:

[tex]\[ K_{eq} = \frac{[NO_2]_{equilibrium}^2}{[N_2O_4]_{equilibrium}} \][/tex]

[tex]\[ K_{eq} = \frac{(0.1000)^2}{0.0750} \][/tex]

[tex]\[ K_{eq} = \frac{0.01000}{0.0750} \][/tex]

[tex]\[ K_{eq} = 0.1333 \][/tex]

Oil is a fossil fuel used to run cars, heat up homes, and produce electricity. Oil can be removed from the bottom of the ocean through drilling. Drilling machines dig deep down into the Earth. When oil is found, pipes carry it to the surface. Sometimes, accidents happen that cause the oil to spill into the oceans. The oil can not only kill marine organisms, but when it reaches the surface of the water, some chemicals evaporate, become part of the atmosphere, and pollute the air.

Based on the passage, which resources and organisms are affected by oil spills? Select three options.

a) air
b) land
c) water
d) birds in the air
e) trees on land
f) organisms in the water

Answers

Answer:

A,C,F/Air,water,orginisams in water

Explanation:

The resources and organisms are affected by oil spillages are Air, Water, and Organisms in water

Effect of oil spillage

Oil spillage can cause to the general environment and the organisms in the environment.

Based on the passage, the resources and organisms are affected by oil spillages include the following;

AirWater, andOrganisms in water

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The pH of 1M MOH solution which is only 10% dissociated.

Answers

Answer:

13

Explanation:

1M MOH solution dissociates into 0.1M OH- ions.

pOH= -log(OH-)

       =    1

pH=14-1

    =13

The pH of this solution is 13.

We can solve this question knowing that a hydroxide as MOH, dissociates in water as follows:

MOH(aq) ⇄ M⁺(aq) + OH⁻(aq)

Based on the reaction, 1 mole of MOH produces 1 mole of OH⁻

If 10% of the 1M MOH dissociates, a 0,1M of M⁺ and a 0.1M of OH⁻ are produced.

Now, with molarity of OH⁻ we can find pOH (pOH = -log[OH⁻]) and pH (pH = 14-pOH) as follows:

pOH:

pOH = -log [OH⁻] = -log [0.1] =1

And pH:

pH:

pH = 14 - pOH

pH = 13

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Consider the general reaction: 2 A + b B → c C and the following average rate data over a specific time period \Delta t: - \frac{ \Delta A}{\Delta t} = 0.0080 mol L-1 s-1 - \frac{ \Delta B}{\Delta t} = 0.0120 mol L-1 s-1 \frac{ \Delta C}{\Delta t} = 0.0160 mol L-1 s-1 Determine what the coefficient c could be in the balanced equation. Select one: 1 5 2 3 4

Answers

Answer:

c = 4

Explanation:

In general, for the reaction

       a A     +    b B     ⇒ c C   +    d D

the rate is given by:

rate = - 1/a ΔA/Δt = - 1/b ΔB/Δt = + 1/c ΔC/Δt = + 1/d ΔD/Δt

this is done so as to express the rate in a standarized way which is the same to all the reactants and products irrespective of their stoichiometric coefficients.

For this question in particular we know the coefficient of A and need to determine the coefficient c.

- 1/2 ΔA/Δt = + 1/c ΔC/Δt

- 1/2 (-0.0080 ) = + 1/c ( 0.0160 mol L⁻¹s⁻¹ )

0.0040 mol L⁻¹s⁻¹  c = 0.0160 mol L⁻¹s⁻¹

∴ c = 0.0160 / 0.0040 = 4

Manganese metal can be prepared by the thermite process: 4Al(s) . 3MnO2(s). -->. 3Mn(l). 2Al2O3(s) molar masses, in g/mol: 26.98. 86.94 54.94 101.96 If 203 g of Al and 472 g of MnO2 are mixed, which is the limiting reactant?

Answers

Answer:

MnO2 is the limiting reactant

Explanation:

Step 1:

The balanced equation for the reaction. This is given below:

4Al(s) + 3MnO2(s) —> 3Mn(l) + 2Al2O3(s)

Step 2:

Determination of the masses of Al and MnO2 that reacted from the balanced equation. This is illustrated below:

Molar Mass of Al = 26.98g/mol

Mass of Al from the balanced equation = 4 x 26.98 = 107.92g

Molar Mass of MnO2 = 86.94g/mol

Mass of MnO2 from the balanced equation = 3 x 86.94 = 260.82g

From the balanced equation above,

107.92g of Al reacted with 260.82g of MnO2 reacted.

Step 3:

Determination of the limiting reactant. This is illustrated below:

Let us consider using all the 203g of Al given to verify if there will be any leftover for MnO2. This is illustrated below:

From the balanced equation above,

107.92g of Al reacted with 260.82g of MnO2,

Therefore, 203g of Al will react with = (203 x 260.82)/107.92 = 490.61g of MnO2.

We can see that the mass of MnO2 that will react with 203g of Al is 490.61g which far greater than the 472g that was given. Therefore, it is not acceptable.

Now let us consider using all 472g of MnO2 given to verify if there will be any leftover for Al. This is shown below:

From the balanced equation above,

107.92g of Al reacted with 260.82g of MnO2,

Therefore, Xg of Al will react with 472g of MnO2 i.e

Xg of Al = (107.92 x 472)/260.82

Xg of Al = 195.30g

From the calculations above, we can see clearly that there are leftover for Al as 195.30g out of 203g reacted.

Therefore, MnO2 is the limiting reactant

What is the molar mass of BaBrz?

Answers

Answer:

Molar mass= 297.1gmol-1

Explanation:

BaBr2 = 137.3+ (79.9*2)= 297.1gmol-1

What to fill in the blanks with?

choices are: a shorter carbon chain, water, a longer carbon chain, other alcohol molecules, CH3 groups, ionic bonds, covalent bonds, a stronger interaction between CH3 groups, and hydrogen bonds.

1. 1-propanol can form __________ with _______, but butane cannot.

2. 1-propanol is more soluble than ethyl methyl ether because it can form more _______ with _______.

3. Ethanol is more soluble in water than 1-hexanol because it has ______.

Answers

Answer: 1. 1-propanol can form hydrogen bonds with water, but butane cannot.

2. 1-propanol is more soluble than ethyl methyl ether because it can form more hydrogen bonds with water.

3. Ethanol is more soluble in water than 1-hexanol because it has a shorter carbon chain.

Explanation:

It is know that like dissolves like. That is polar substance will be soluble in polar solvent and non-polar substance will be soluble in non-polar solvent.

As 1-propanol is polar in nature due to the alcoholic group present in it so, it is able to form hydrogen bonds with water. Hence, it readily dissolves in water. Whereas butane is non-polar in nature and it will not dissolve in water (polar solvent).

Also, smaller is the number of carbon chain present in a compound smaller will be its surface area. Hence, more readily it will dissolve in water.

For example, ethanol has less number of carbon atoms than 1-hexanol. So, ethanol will be more soluble in water than 1-hexanol.

Thus, we can conclude that given blanks are filled as follows.

1. 1-propanol can form hydrogen bonds with water, but butane cannot.

2. 1-propanol is more soluble than ethyl methyl ether because it can form more hydrogen bonds with water.

3. Ethanol is more soluble in water than 1-hexanol because it has a shorter carbon chain.

When 63.4 g of glycine (C2HNO2 are dissolved in 700. g of a certain mystery liquid X, the freezing point of the solution is 7.9 °C lower than the freezing point of pure X. On the other hand, when 63.4 g of iron(III) chloride are dissolved in the same mass of X, the freezing point of the solution is 13.3 °C lower than the freezing point of pure X Calculate the van't Hoff factor for iron(III) chloride in X. Be sure your answer has a unit symbol, if necessary, and round your answer to 2 significant digits. x 10

Answers

Answer:

3.8 is the van't Hoff factor for iron(III) chloride in X.

Explanation:

[tex]\Delta T_f=i\times K_f\times m[/tex]

where,

[tex]\Delta T_f[/tex] =depression in freezing point =

[tex]K_f[/tex] = freezing point constant

m = molality =[tex]\frac{\text{Mass of solute}}{\text{Molar mass of solute}\times \text{Mass of solvent in kg}}[/tex]

i = van't Hoff factor

we have :

Mass of glycine = 63.4 g

Molar mass of glycine = 71 g/mol

Mass of solvent X = 700. g = 0.7 kg

1 g = 0.001 kg

[tex]K_f[/tex] of solvent X= ?

i = 1  (non electrolyte)

Depression in freezing point= [tex]7.9^oC[/tex]

[tex]7.9^oC=1\times K_f \times \frac{63.4 g}{71 g/mol\times 0.7 kg}[/tex]

[tex]K_f=6.19 ^oC/m[/tex]

When iron(III) chloride is dissolved in 0.7 kg of solvent X

Mass of  iron(III) chloride = 63.4 g

Molar mass of  iron(III) chloride= 162.5 g/mol

Mass of solvent X = 700. g = 0.7 kg

1 g = 0.001 kg

[tex]K_f[/tex] of solvent X= [tex]6.19 ^oC/m[/tex]

i = ?

Depression in freezing point:[tex]13.3^oC[/tex]

[tex]13.3^oC=i\times 6.19^oC\times \frac{63.4 g}{162.5 g/mol\times 0.7 kg}[/tex]

Solving for i:

i = 3.85 ≈ 3.8

3.8 is the van't Hoff factor for iron(III) chloride in X.

It is desired to determine the concentration of arsenic in a lake sediment sample by means of neutron activation analysis. The nuclide captures a neutron to form , which in turn undergoes β decay. The daughter nuclide produces the characteristic γ rays used for the analysis. What is the daughter nuclide?

Answers

Answer:

The daughter nuclide is selenium; 76:34 Se

Explanation:

The complete question is as follows;

is desired to determine the concentration of arsenic in a lake sediment sample by means of neutron activation analysis. The nuclide 75:33 As captures a neutron to form 76:33 As, which in turn undergoes beta decay. The daughter nuclide produces the characteristic gamma rays used for the analysis. What is the daughter nuclide?

solution:

Please check attachment for decay equations and explanations

1. A smoothie contains 1 banana (B), 4 strawberries (St), 1 container of yogurt (Y), and 3 ice cubes (Ic). Write a balanced equation to describe the relationship. *

Write a conversion factor to show the relationship between the number of ice cubes and the number of smoothies produced. *

How many strawberries would you need to make 12 smoothies? *

Answers

To calculate the atoms of an element in a given molecule, we need to multiply stoichiometry by the number that is written on the foot of that element. Therefore, the balanced equation is

1B+4St+1Y+3Ic[tex]\rightarrow[/tex]1 BSt[tex]_4[/tex]YIc[tex]_3[/tex]

What is Balanced equation?

Balanced equation is the one in which the total number of atoms of a species on reactant side is equal to the total number of atoms on product side. The mass of the overall reaction should be conserved. There are so many types of chemical reaction reaction like combination reaction, displacement reaction.

The other characteristic of balanced reaction is that physical state should be written with each compound or molecule on reactant and product side. Physical state should be written in brackets. s means solid, l means liquid, g means gas.

The word equation is

1 banana+ 4 strawberries+1 container of yogurt+3 ice cubes[tex]\rightarrow[/tex] 1 smoothie

The balanced chemical equation is

1B+4St+1Y+3Ic[tex]\rightarrow[/tex]1 BSt[tex]_4[/tex]YIc[tex]_3[/tex]

Therefore, the balanced equation is

1B+4St+1Y+3Ic[tex]\rightarrow[/tex]1 BSt[tex]_4[/tex]YIc[tex]_3[/tex]

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Suppose now that you wanted to determine the density of a small crystal to confirm that it is sulfur. From the literature, you know that sulfur has a density of 2.07 . How would you prepare 20.0 mL of the liquid mixture having that density from pure samples of ( = 1.492 g/mL) and ( = 2.890 g/mL)? (Note: 1 mL = 1 .)

Answers

Answer:

Mix 11.73 mL of CHCl₃ and 8.27 mL of CHBr₃

Explanation:

To begin, it seems your question lacks the name of the pure samples that will be mixed to prepare the liquid mixture. The names are not necessary, as the numerical values are there. However, an internet search tells me they are CHCl₃ (d=1.492g/mL) and CHBr₃ (d=2.890 g/mL).

The mixture has a density of 2.07 g/mL, so 20 mL of the mixture would weigh:

20 mL * 2.07 g/mL = 41.4 g

Let X be the volume of CHCl₃ and Y the volume of CHBr₃:

X + Y = 20 mL

The mass of CHCl₃ and CHBr₃ combined have to be equal to the mass of the mixture. We can write that equation using the volume of the samples and their density:

X * 1.492 + Y * 2.890 = 41.4 g

So now we have a system of two equations and two unknowns, we use algebra to solve it:

   1. Express Y in terms of X:

X + Y = 20

Y = 20 - X

   2. Replace Y in the second equation:

X * 1.492 + Y * 2.890 = 41.4

1.492*X + 2.890*(20-X) = 41.4

   3. Solve for X:

1.492*X + 57.8 - 2.890*X = 41.41.398*X = 16.4X = 11.73 mL

   4. Using the now known value of X, solve for Y:

X + Y = 20

11.73 + Y = 20Y = 8.27 mL

So, to prepare the liquid mixture we would mix 8.27 mL of CHBr₃ and 11.73 mL of  CHCl₃.

A bomb calorimetric experiment was run to determine the enthalpy of combustion of ethanol. The reaction is The bomb had a heat capacity of 490 J/K, and the calorimeter contained 730 g of water. Burning 4.40 g of ethanol, resulted in a rise in temperature from 16.8 °C to 20.5 °C. Calculate the enthalpy of combustion of ethanol, in kJ/mol. (The specific heat capacity of liquid water is 4.184 J/g ⋅ K.) Enthalpy of combustion = kJ/mol

Answers

The enthalpy of combustion of ethanol is approximately -118.45 kJ/mol.

To determine the enthalpy of combustion (ΔH) of ethanol, we can use the heat transfer equation:

q = mcΔT

where q is the heat absorbed by the water, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

First, calculate the heat absorbed by the water:

q = (730 g)(4.184 J/g ⋅ K)(20.5 °C - 16.8 °C)

q = 730 × 4.184 × 3.7 J

q = 11,300.984 J

Next, convert the mass of ethanol burned (4.40 g) to moles using the molar mass of ethanol (C2H5OH):

Molar mass of ethanol = 2 × molar mass of C + 6 × molar mass of H + molar mass of O

Molar mass of ethanol = 2 × 12.01 + 6 × 1.01 + 16.00 g/mol

Molar mass of ethanol = 46.07 g/mol

Moles of ethanol = 4.40 g / 46.08 g/mol

Moles of ethanol ≈ 0.0954 mol

Now, calculate ΔH using the formula:

ΔH = -q / moles of ethanol

ΔH = -11,300.984 J / 0.0954 mol

ΔH ≈ -118,458.952 J/mol

Convert to kJ/mol:

ΔH ≈ -118.45 kJ/mol

Which gas is most abundant in Earth’s atmosphere?

oxygen
nitrogen
water vapor
carbon dioxide

Answers

Answer:

Nitrogen

Explanation: nitrogen is around 70% of the air hope this helps god bless

The gas that is most abundant on earths atmosphere is nitrogen

A mixture of propane and butane is fed into a furnace where it is mixed with air. The furnace exhaust leaves the furnace at 337�C, 786.0 mmHg and contains only N2, O2, CO2, and H2O. The partial pressure of O2 in the exhaust is 10.38 mmHg and the partial pressure of CO2 in the exhaust is 88.03 mmHg.
1.What is the mole fraction of propane in the fuel stream?
2.What is the mole fraction of water in the exhaust stream?
3.What is the dew point temperature of the exhaust gas?

Answers

Answer:

1. 3.29mol

2. 0.125molH2o/mol

3. 52.5'C

Explanation: The step by step explanation are attached to the answer.

Answer:

Mole fraction of propane = 0.74 mol C₃H₈/mol

Mole fraction of water = 0.29 mol H₂0 /mol

Dew point temperature = 52.5°C

Explanation:

See the attached file for the calculation.

The concentration of a saturated solution of an ionic compound at 25 oC is 7.00E-4. The formula for this compound is XQ3. What is the concentration of Q at equilibrium? Answer Submitted: Your final submission will be graded when the time limit is reached. Tries 1/98 Previous Tries What is the Ksp value for XQ3?

Answers

1. The concentration of[tex]\( \text{Q}^- \)[/tex] at equilibrium is[tex]\( 2.10 \times 10^{-3} \)[/tex] M.

2. The[tex]\( K_{sp} \)[/tex] value for [tex]\( \text{XQ}_3 \) is \( 6.48 \times 10^{-12} \).[/tex]

To find the concentration of [tex]\( \text{Q} \)[/tex] at equilibrium and the solubility product constant [tex](\( K_{sp} \))[/tex]for the ionic compound [tex]\( \text{XQ}_3 \)[/tex], follow these steps:

Step 1: Determine the Dissociation Equation

The compound [tex]\( \text{XQ}_3 \)[/tex] dissociates in water as follows:

[tex]\[ \text{XQ}_3(s) \rightleftharpoons \text{X}^{3+}(aq) + 3\text{Q}^-(aq) \][/tex]

Step 2: Set Up the Solubility Relationship

Let ( s ) be the solubility of [tex]\( \text{XQ}_3 \)[/tex] in mol/L, which is given as \[tex]7.00 \times 10^{-4} \) M.[/tex]

When [tex]\( \text{XQ}_3 \)[/tex] dissociates:

- The concentration of[tex]\( \text{X}^{3+} \)[/tex] ions will be ( s ).

- The concentration of [tex]\( \text{Q}^- \)[/tex] ions will be ( 3s ) (since three[tex]\( \text{Q}^- \)[/tex] ions are produced for each formula unit of[tex]\( \text{XQ}_3 \)).[/tex]

Step 3: Calculate the Concentration of [tex]\( \text{Q}^- \)[/tex]

Given [tex]\( s = 7.00 \times 10^{-4} \) M:[/tex]

[tex]{Q}^-] = 3s = 3 \times 7.00 \times 10^{-4} = 2.10 \times 10^{-3} \text{ M} \][/tex]

Thus, the concentration of [tex]\( \text{Q}^- \)[/tex] at equilibrium is[tex]\( 2.10 \times 10^{-3} \)[/tex].

Step 4: Determine the Solubility Product Constant [tex](\( K_{sp} \))[/tex]

The solubility product constant [tex]\( K_{sp} \) for \( \text{XQ}_3 \)[/tex]   can be calculated using the equilibrium concentrations of the ions:

[tex][ K_{sp} = [\text{X}^{3+}][\text{Q}^-]^3 \][/tex]

Substitute the equilibrium concentrations:

[tex][ [\text{X}^{3+}] = s = 7.00 \times 10^{-4} \text{ M} \][/tex]

[tex][ [\text{Q}^-] = 3s = 2.10 \times 10^{-3} \text{ M} \][/tex]

Now, calculate[tex]K_{sp} \):[/tex]

[tex]\[ K_{sp} = (7.00 \times 10^{-4}) \times (2.10 \times 10^{-3})^3 \[/tex]

First, compute[tex]( (2.10 \times 10^{-3})^3 \)[/tex]

[tex]\[ (2.10 \times 10^{-3})^3 = 2.10^3 \times (10^{-3})^3 = 9.261 \times 10^{-9} \][/tex]

Then, multiply by[tex]7.00 \times 10^{-4} \):[/tex]

[tex][ K_{sp} = (7.00 \times 10^{-4}) \times (9.261 \times 10^{-9}) \][/tex]

[tex][ K_{sp} = 6.4827 \times 10^{-12} \][/tex]

Final Results

1. The concentration of[tex]{Q}^- \)[/tex] at equilibrium is [tex]\( 2.10 \times 10^{-3} \) M.[/tex]

2. The [tex]K_{sp} \) value for {XQ}_3 \) is \( 6.4827 \times 10^{-12} \).[/tex]

Rank each of the following compounds in decreasing order of reactivity towards Friedel-Crafts alkylation. Most reactive = 1; if a compound will not react, rank it as "non" rather than assigning a numerical value. Compound A: iodobenzene Compound B: bromobenzene Compound C: fluorobenzene Compound D: benzoic acid

Answers

Answer:

see explanation below

Explanation:

First, let's remember the principle of a friedel crafts alkylation. This kind of reaction are often used to alkylate an aromatic ring like bencene, or a mono substitued bencene. This reactions often involves reactions with alkyl halides or alkenes and aluminum or iron halides.

Now, in this case we have Iodobenzene, bromobenzene, fluorobenzene and benzoic acid.

First, the reactivity order always raise with the polarization of the C - X bond. Therefore, the one with the most polar bond, will react first. In this case, with the halides, the reactivity order would be RI > RBr > RCl >> RF

In the case of the benzoic acid, the COOH is a very strong deactivating group by resonance, therefore, the benzene it's really weak to do a reaction of alkylation, so this will most likely to not react.

In conclude, we have the following order:

Compound A: Iodobencene (1)

Compound B: Bromobencene (2)

Compound C: Fluorobencene (3)

Compound D: Benzoic acid (non)

Final answer:

In Friedel-Crafts alkylation, compounds are ordered by reactivity based on the strength of their carbon-halogen bonds and ability to form stable carbocations. The ranking is Bromobenzene, Iodobenzene, Fluorobenzene, and Benzoic Acid, with the latter being 'non' reactive due to the presence of a deactivating carboxylic acid group.

Explanation:

The reactivity of these compounds in a Friedel-Crafts alkylation scenario depends on their ability to form stable carbocation intermediates and the strength of the carbon-halogen bond. The stronger the bond, the less likely it is to break and form the carbocation necessary for the reaction. Therefore, the reactivity order is as follows:

Bromobenzene (Compound B) Iodobenzene (Compound A) Fluorobenzene (Compound C) Benzoic acid (Compound D)

It's worth noting that Benzoic Acid (Compound D) would be not considered in Friedel-Crafts alkylation due to the presence of the deactivating carboxylic acid group, which hinders this reaction. Therefore, in effect, it would be ranked as 'non' reactive for this specific reaction.

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18-31. In formaldehyde, the transition n S p*(T1) occurs at 397 nm, and the n S p*(S1) transition comes at 355 nm. What is the differ- ence in energy (kJ/mol) between the S1 and T1 states? This differ- ence is due to the different electron spins in the two states.

Answers

Answer:

The difference in energy between the [tex]S_1[/tex] and [tex]T_1[/tex] states is 35.7 kJ/mol.

Explanation:

The Planck's equation :

[tex]E=\frac{hc}{\lambda} [/tex]

Where:

E = Energy of the electromagnetic radiations.

h = Planck's constant = [tex]6.626\times 10^{-34} Js[/tex]

c = speed of light = [tex]3\times 10^8 m/s[/tex]

[tex]\lambda [/tex] = Wavelength of the electromagnetic radiations.

Energy associated with [tex]T_1[/tex] transition : [tex]E_1[/tex]

Wavelength associated  with [tex]T_1[/tex] transition :

[tex]\lambda _1=397 nm=397\times 10^{-9} m[/tex]

Energy associated with [tex]S_1[/tex] transition : [tex]E_2[/tex]

Wavelength associated  with [tex]S_1[/tex] transition : [tex]\lambda _2=355 nm=355\times 10^{-9} m[/tex]

The difference in energy between the [tex]S_1[/tex] and [tex]T_1[/tex] states:

[tex]E=E_1-E_2=\frac{hc}{\lambda _2}-\frac{hc}{\lambda _1}[/tex]

[tex]E=hc\times (\frac{1}{\lambda _2}-\frac{1}{\lambda _1})[/tex]

[tex]E=6.626\times 10^{-34} Js \times 3\times 10^8 m/s(\frac{1}{355\times 10^{-9}m}-\frac{1}{397\times 10^{-9} m})[/tex]

[tex]E=5.92\times 10^{-20} J[/tex]

1 J = 0.001 kJ

[tex]E=5.92\times 10^{-20}\times 10^{-3} kJ=5.92\times 10^{-23} kJ[/tex]

1 mole = [tex]6.022\times 10^{-23}[/tex]

The difference in energy(kJ/mol) between the [tex]S_1[/tex] and [tex]T_1[/tex] states:

[tex]=5.92\times 10^{-23} kJ\times 6.022\times 10^{23} mol^{-1}=35.7 kJ/mol[/tex]

Final answer:

The energy difference between the S1 and T1 states in formaldehyde can be calculated using the wavelengths given and Planck's equation, with the resulting value representing the difference in energy due to electronic transitions between these two states.

Explanation:

The student is asking about the difference in energy between the singlet state (S1) and triplet state (T1) of formaldehyde, which corresponds to n → π* electronic transitions occurring at different wavelengths. The wavelengths given are 397 nm (T1) and 355 nm (S1). We can calculate the energy difference using the equation E = hv (where h is Planck constant and v is frequency), and converting wavelengths to frequencies using c = λv (where c is the speed of light and λ is the wavelength). To find the difference in energy (ΔE) in kJ/mol, we first convert the energy of each transition from Joules to kJ/mol and then subtract the energy of T1 from S1.

To calculate the energy for each wavelength:
E(397nm) = (6.626 x 10^-34 J·s) (3 x 10^8 m/s) / (397nm x 10^-9 m/nm) x (1/1000) kJ/J x (6.022 x 10^23 mol^-1)
E(355nm) = (6.626 x 10^-34 J·s) (3 x 10^8 m/s) / (355nm x 10^-9 m/nm) x (1/1000) kJ/J x (6.022 x 10^23 mol^-1)
ΔE = E(355nm) - E(397nm)

The difference in energy between the S_1 and T_1 states:

E=E_1-E_2=(hc)/(\lambda _2)-(hc)/(\lambda _1)

E=hc* ((1)/(\lambda _2)-(1)/(\lambda _1))

E=6.626* 10^(-34) Js * 3* 10^8 m/s((1)/(355* 10^(-9)m)-(1)/(397* 10^(-9) m))

E=5.92* 10^(-20) J

1 J = 0.001 kJ

E=5.92* 10^(-20)* 10^(-3) kJ=5.92* 10^(-23) kJ

1 mole = 6.022* 10^(-23)

The difference in energy(kJ/mol) between the S_1 and T_1 states:

=5.92* 10^(-23) kJ* 6.022* 10^(23) mol^(-1)=35.7 kJ/mol

The reaction between nitrogen dioxide and carbon monoxide is NO2(g)+CO(g)→NO(g)+CO2(g)NO2(g)+CO(g)→NO(g)+CO2(g) The rate constant at 701 KK is measured as 2.57 M−1⋅s−1M−1⋅s−1 and that at 895 KK is measured as 567 M−1⋅s−1M−1⋅s−1. The activation energy is 1.5×102 1.5×102 kJ/molkJ/mol. Predict the rate constant at 525 KK .

Answers

Answer : The rate constant at 525 K is, [tex]0.0606M^{-1}s^{-1}[/tex]

Explanation :

According to the Arrhenius equation,

[tex]K=A\times e^{\frac{-Ea}{RT}}[/tex]

or,

[tex]\log (\frac{K_2}{K_1})=\frac{Ea}{2.303\times R}[\frac{1}{T_1}-\frac{1}{T_2}][/tex]

where,

[tex]K_1[/tex] = rate constant at [tex]701K[/tex] = [tex]2.57M^{-1}s^{-1}[/tex]

[tex]K_2[/tex] = rate constant at [tex]525K[/tex] = ?

[tex]Ea[/tex] = activation energy for the reaction = [tex]1.5\times 10^2kJ/mol=1.5\times 10^5J/mol[/tex]

R = gas constant = 8.314 J/mole.K

[tex]T_1[/tex] = initial temperature = 701 K

[tex]T_2[/tex] = final temperature = 525 K

Now put all the given values in this formula, we get:

[tex]\log (\frac{K_2}{2.57M^{-1}s^{-1}})=\frac{1.5\times 10^5J/mol}{2.303\times 8.314J/mole.K}[\frac{1}{701K}-\frac{1}{525K}][/tex]

[tex]K_2=0.0606M^{-1}s^{-1}[/tex]

Therefore, the rate constant at 525 K is, [tex]0.0606M^{-1}s^{-1}[/tex]

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