Answer:
D) 18
Explanation:
Hello,
In this case, by considering the given rate law:
[tex]r=k[A]^2[B][/tex]
We also take into account that the concentration of A is tripled and the concentration of B is doubled, therefore, we have:
[tex]r=k[3*A]^2[2*B][/tex]
Which results in an increasing factor of:
[tex]3^2*2=9*2=18[/tex]
By considering only the tripling and the doubling, thus, the answer is D) 18.
Regards.
Scoring Scheme: 3-3-2-1 Part III. For each trial, enter the amount of heat gained by the chemical system of ammonium nitrate, qrxn. The specific heat of water is 4.184 J/goC. Report your answer using 4 digits. Trial
Question:
The information given is:
Trial # Tiwater T f ΔT Masswater (m)
#1: 21.2 10.8 10.8 24.990
#2: 20.8 9.50 9.5 25.000
#3: 20.9 9.20 9.2 25.010
Answer:
The heat of the reaction is -5985 J
Explanation:
The heat absorbed by the water is given by
ΔQ = m·c·ΔT
From which
∑ (ΔT·m)/3 = 278.34 kg·°C
ΔQ = c×∑ (ΔT·m)/3 = 4.184 J/g·°C×278.34 kg·°C = 1164.565 J
ΔQ Calorimter = Specific heat capacity of calorimeter, [tex]c_{calorimeter}[/tex] × ΔT[tex]_{average}[/tex]
Where the [tex]c_{calorimeter}[/tex] = 443 J/°C for example, we have
ΔQ Calorimter = 443×11.133 = 4820.733 J
From which the heat of reaction is then
[tex]\Delta Q_{reaction} = -(\Delta Q_{water} + \Delta Q_{calorimter})[/tex]
[tex]\Delta Q_{reaction} = -5985.298 \, J[/tex]
Using 4 digits, we get
[tex]\Delta Q_{reaction} \approx -5985 \, J[/tex].
How many milliliters of 2.0M Mg(OH)2 are required to neutralize 250.0 ml of 0.80M hydrochloric acid (HCl)?
Answer:
OK, This is my thinking, I hope this helps you out.
Let's do problem "a"
Step 1. Write a balanced equation.
2 HCl + Ba(OH)2 --------------> BaCl2 + 2 HOH
Step 2. Underneath the HCl and Ba(OH)2 in the equation write what you are given and what you need to find out.
2 HCl + Ba(OH)2 --------------> BaCl2 + 2 HOH
C = 0.130 mol/L v = 56 mL
V = ? C = 0.109 mol/L
Step 3. They ALWAYS provide a way to calculate the number of moles of one of the substances. In this case it is Ba(OH)2 because you have C and V
n = C X V n = 0.109 x 56 = 6.104 millimoles
Step 4. Use the equation to figure out how many moles of the unknown (HCl) you will need.
the equation says you need TWICE as many moles as you have of Ba(OH)2. So you will need 6.104 millimoles x 2 or 12.208 milimoles.
Step 5. Now that yo have moles and concentration of HCl you can now calculate volume
C = n / V, so V = n / C
12.208 millimoles / 0.130 mol/L = 93.9 mL
Use this method for all these kind of problems.
In B) you will have to convert he g of NaOH into moles by 0.240 / 40.00 g/mol and then following trhe rest of the procedure.
C) is done the same way. convert the g of Na2SO4 into moles first.
d) is almost the same as a) except this time when you find the moles of Ca(OH)2 you just have to convert the moles into mass by multiplying moles x Molar mass of Ca(OH)2.
Best of luck.
Explanation:
A balloon is inflated to a volume of 5.0 liters at 0.98atm and 25c and taken on world adventures: in an aireplane cabin, the pressure drops 585 torr while the temperature remains constants at 25c. What is the volume of the ballon in the airplane cabin
Answer:
6.37 L
Explanation:
- Used combined gas law. Get rid of temperature since it is constant. (You could also keep it and get the same answer, but it is another step)
- Change C to K
- Change torr to atm
- Hope this helps! I would be glad to give you a step by step explanation. Please let me know if you want help on how to do these types of problems.
Magnesium and hydrochloric acid combine in the reaction described by this equation: Mg(s) + 2HCl(aq) → MgCl2(aq) + H2(g) In a laboratory experiment 45.0 g Mg is reacted with excess HCl. What is the theoretical yield? (Note: The molar masses are Mg = 24.3 g/mol; MgCl2 = 95.2 g/mol.)
Answer:
m = 176.12 g
Explanation:
Let's write the reaction again:
Mg(s) + 2HCl(aq) --------> MgCl₂(aq) + H₂(g)
This reaction is a simple displacement reaction, in this case, the magnesium is displacing the atoms of hydrogens to form MgCl₂. 1 mole of Mg reacts with 2 moles of HCl. If the magnesium is the limiting reactant, we need to calculate the theorical yield of MgCl₂. The mole ratio between these two is 1:1 so, all we have to do is calculate the moles of magnesium and then the moles of MgCl₂:
moles Mg = 45 / 24.3 = 1.85 moles
As the mole ratio is 1:1 then:
moles Mg = moles MgCl₂ = 1.85 moles
Now, we calculate the mass using the molecular mass:
m = 1.85 * 95.2
m MgCl₂ = 176.12 gThis is the theorical yieldThe theoretical yield of MgCl₂ obtained from the reaction is 176.3 g
We'll begin by calculating the mass of the Mg that reacted and the mass of MgCl₂ produced from the balanced equation.
Mg(s) + 2HCl(aq) —> MgCl₂(aq) + H₂(g)
Molar mass of Mg = 24.3 g/mol
Mass of Mg from the balanced equation = 1 × 24.3 = 24.3 g
Molar mass of MgCl₂ = 95.2 g/mol
Mass of MgCl₂ from the balanced equation = 1 × 95.2 = 95.2 g
SUMMARY:
From the balanced equation above,
24.3 g of Mg reacted to produce 95.2 g of MgCl₂
Finally, we shall determine the theoretical yield of MgCl₂.From the balanced equation above,
24.3 g of Mg reacted to produce 95.2 g of MgCl₂
Therefore,
45 g of Mg will react to produce = (45 × 95.2)/24.3 = 176.3 g of MgCl₂
Thus, the theoretical yield of MgCl₂ is 176.3 g
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How many electrons are unpaired in the orbitals of nitrogen?
The nitrogen has one unpaired electron in its orbitals.
How many electrons are unpaired in the orbitals of nitrogen?The number of electrons in nitrogen (N) is 7 because its atomic number is 7. To find out how many single electrons there are in the orbitals of nitrogen, we have to write down the way its electrons are arranged.
The electron configuration of nitrogen is: 1s² 2s² 2p³
In the 2p orbital, there are three electrons (2p³). Since each orbital can hold a maximum of two electrons, we know that two electrons will be paired in one of the 2p orbitals, and one electron will be unpaired in another 2p orbital.
Therefore, nitrogen has one unpaired electron in its orbitals.
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The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?
0.62
0.78
0.84
0.96
Answer is 0.62
Explanation: Since the worker works at least 8 hours minimum, therefore total maximum length of time is 16 hours.Thus, the probability of at least 8 hours is. 16/24=2/3=0.62
Answer:
Answer is 0.62
Explanation:
i
SbF5 mass ratio and atomic ratio
Answer:
SbF5
Mass ratio = 1.28 : 1
And atomic ratio = 1 : 5
4Br + K -> 4BrK True or False: Is this equation balanced?
Answer:
The answer to your question is False
Explanation:
Chemical reaction
4Br + K ⇒ 4BrK
Reactants Elements Products
4 Bromine 4
1 Potassium 4
This chemical reaction is unbalanced because the number of Potassium in the reactants is lower than the number of Potassium in the products.
Correct balanced reaction
Br₂ + 2K ⇒ 2KBr
What is the pH of a solution with an [H+] = 4.73x10^-7 M
Answer:
The answer to your question is pH = 6.3
Explanation:
Data
pH = ?
[H⁺] = 4.73 x 10⁻⁷ M
pH is the measure of the concentration of [H⁺]. pH measures the acidity of the solution. If the value of pH is between 0 and 6.9, the solution is an acid. If the pH is 7.0 the solution is neutral and if the pH is between 7.1 and 14, the solution is an alkali.
Formula
pH = -log[H⁺]
Substitution
pH = -log[4.73 x 10⁻⁷]
-Simplification
pH = - (-6.3)
-Result
pH = 6.3
CH4 is the ___________________ formula for methane.
A) Lewis
B) covalent
C) molecular
D) structural
CH₄ is the molecular formula for methane. The correct option is (C) molecular.
To answer the question, let's first understand what the different terms mean:
Lewis structure: A diagram that shows the covalent bonds and lone pairs of electrons in a molecule.Covalent: Refers to a type of chemical bond where pairs of electrons are shared between atoms.Molecular formula: Indicates the types and numbers of atoms in a molecule (e.g., CH₄ for methane).Structural formula: Shows how atoms are arranged and bonded in a moleculeThis means that CH₄ indicates the composition of a methane molecule, showing it consists of one carbon atom and four hydrogen atoms. It does not show how the atoms are bonded or arranged.
1. Draw the basic repeating unit of sodium alginate polymer. 2. What is this polymer used for?
Answer:
1.The diagram is attached
2.sodium alginate is a polymer which can be extracted from brown seaweed and is used for defloculating, gelling and thickening
Used also in dermatological preparation
Used in adhensive paste
Sodium alginate polymer is used in the food industry as a stabilizer for ice cream, yogurt, cream, and cheese.
A polymer is obtained by the agglomeration of small molecules called monomers. Monomers are the simple units from which polymers are formed the units that compose the sodium alginate polymer shown in the image attached to this answer are called monomers.
Sodium alginate is obtained from brown seaweed and is useful in the food industry as a stabilizer for ice cream, yogurt, cream, and cheese.
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PLEASE HELP ASAP BRAINLIEST!!!
A student needs to convert a pressure of 2.3 atm to kpa. What conversion factor should the student use?
Answer:
101.3 kPa / 1 atm (first choice)
Explanation:
1 atm = 101.3 kPa, so to convert atm to kPa, just multiply the given value by 101.3 kPa.
Hope this helps
What substance does a tree use for food?
a. photosynthesis b. chlorophyll
c. glucose
d. leaves
Answer:
B
Explanation:
The leaves contain a pigment called chlorophyll, which colors the leaves green.
Answer: B
Explanation:
Chlorophyll can make food the plant can use from carbon dioxide, water, nutrients, and energy from sunlight.
Can someone help with this please? My teacher isnt responding to any of mine or my classmates requests for help
"Carbon dioxide and silicon dioxide have the same kind of bonding but one is a gas at room temperature whilst the other is a solid. Explain this observation."
Answer:
CO2 consists of individual molecules with one central carbon atom double bonded to two oxygen atoms. Silicon does not form double bonds with oxygen. CO2 is gas but SiO2 is a solid because SiO2 has a giant molecular structure. CO2 has a simple molecular structure, and because of this, CO2 is gas but SiO2 is solid at room temperature.
Answer:
Explanation:
Because of their structure . Silica has a chain structure with e one silicon atom bonded to 4 oxygen atoms in the lattice. The structure is a long chain of tightly held atoms and this forms a solid.
The carbon dioxide molecule however as a linear structure and each oxygen atom is bonded by double bonds. These double bonds are not as strong as the Si - O bonds in silica so will not form a chain structure.
what is the purpose of cell wall
Answer:
The purpose of a cell wall is to keep everything inside safe.
Answer:
The CORRECT answer is C. it supports and protects the cell
Explanation:
I just did a assignment and yes this is correct think about it it is called the cell WALL. hope this helps :)
select the correct formula for each compound for each compound
boron tribromide
Answer:
BBr3
Explanation:
Attached image.
Boron tribromide:
BBr3
phosphorus trihydride:
PH3
The following reaction is performed: 3H₂ + N₂ → 2NH₃ . You begin this reaction with 10.00 grams of each reactant. What is the theoretical mass of ammonia (NH₃) that can be formed
The theoretical mass of ammonia is 56.6 grams when reaction is begun with 10.00 grams of each reactant.
Explanation:
Data given:
mass of reactants = 10 gram
The reactants are hydrogen and nitrogen gas.
Theoretical mass of ammonia =?
balanced chemical reaction is :
3 [tex]H_{2}[/tex] + [tex]N_{2}[/tex] ⇒ 2 N[tex]H_{3}[/tex]
Atomic mass of hydrogen gas = 2 grams/mole
atomic mass of nitrogen gas = 28 grams/mole
number of moles of each reactant is determined:
number of moles = [tex]\frac{mass}{atomic mass of 1 mole}[/tex]
putting the values for hydrogen gas
number of moles = [tex]\frac{10}{2}[/tex]
number of moles = 5
number of moles of nitrogen gas = [tex]\frac{10}{28}[/tex]
= 0.35 moles
from the balanced equation,
3 moles of hydrogen gas reacted to give 2 moles of ammonia
5 moles of hydrogen will give x moles
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{5}[/tex]
3x =10
x = 3.33 moles
mass of ammonia produced = number of moles x atomic mass
= 3.33 x 17
= 56.61 grams of ammonia produced from hydrogen
For nitrogen gas,
1 mole nitrogen gas reacted to give 2 moles of ammonia gas
0.35 moles will give x moles
[tex]\frac{2}{1} =\frac{x}{0.35}[/tex]
x = 0.7 moles of ammonia formed
mass = number of moles x atomic mass
= 0.7 x 17
= 11.9 grams
Thus the limiting reagent is hydrogen gas in the reaction.
The mass from limiting reagent is called theoretical yield = 56.61 grams
A 150 mL sample of hydrochloric acid (HCl) completely reacted with 60.0 mL of a 0.100 M NaOH solution. The equation for the reaction is given below.
[tex]HCl + NaOH \rightarrow NaCl + H_2O[/tex]
What was the original concentration of the HCl solution?
Answer: 0.0400 M
Explanation:
[tex]HCl+NaOH\rightarrow NaCl+H_2O[/tex]
To calculate the volume 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=1\\M_1=?\\V_1=150mL\\n_2=1\\M_2=0.100M\\V_2=60.0mL[/tex]
Putting values in above equation, we get:
[tex]1\times M_1\times 150=1\times 0.100\times 60.0\\\\M_1=0.0400M[/tex]
Thus the original concentration of the HCl solution is 0.0400 M
Lisa needs to buy a helium tank to fill up all the balloons. If the helium must be compressed from an original volume of 27.0L at 14.7 psi, down to a volume of 3.00L, what would be the final pressure of the helium?
Answer:
[tex]P_2=135.73psi[/tex]
Explanation:
Hello,
In this case we use the Boyle's law which allows us to understand the volume-pressure behavior as an inversely proportional relationship:
[tex]V_1P_1=V_2P_2[/tex]
Whereas we solve for [tex]P_2[/tex] as the required final pressure:
[tex]P_2=\frac{V_1P_1}{V_2} =\frac{27.0L*14.7psi}{3.00L}\\ \\P_2=135.73psi[/tex]
Best regards.
During which phase of the moon do neap tides occur?
Answer: quarter moons
Explanation: Neap tides are especially weak tides. They occur when the gravitational forces of the Moon and the Sun are perpendicular to one another (with respect to the Earth). Neap tides occur during quarter moons. The Proxigean Spring Tide is a rare, unusually high tide.
Neap tides occur during the first and third quarter phases of the moon, when the gravitational forces of the sun and moon work against one another, resulting in a smaller tidal range.
Explanation:Neap tides occur during the first quarter and the third quarter phases of the moon. Unlike spring tides, which occur during the new moon and full moon phases, neap tides are characterized by small tidal range due to the gravitational forces from the sun and the moon working against each other. During the first and third quarter moon phases, the moon and the sun are at a right angle relative to earth, which results in lower than average tidal bulges, hence causing the neap tides.
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which three elements are combined in magnesium carbonaye
Answer:
Magnesium, Carbon and Oxygen.
Explanation:
Answer:Magnesium carbonate is a magnesium salt with formula CMgO3. Its hydrated forms, particularly the di-, tri-, and tetrahydrates occur as minerals. It has a role as an antacid and a fertilizer. It is a magnesium salt, a carbonate salt and a one-carbon compound.
Explanation:
The latent heat of fusion of ice is 3.4 X 105 J/Kg. What do you mean by this statement? Explain.
Answer:
This is the amount of heat required to change solid ice into liquid water.
Explanation:
-Latent heat of fusion or enthalpy of fusion is defined as the amount of heat required by a substance to change its status from solid to liquid
-Hence, 3.4 X 105 J/Kg is the amount of heat required to change solid ice into liquid water.
Suppose we have two rock samples, A and B. If rock A was subject to both physical and chemical weathering while rock B was subject to chemical weathering only. Which rock would experience more chemical weathering? why?
Answer:
Rock A because after physical weather and chemical weathering it more likely for Rock A to experience more chemical weathering.
Explanation: Weathering: This is a geological term used to describe the various processes and Activities involved in the breaking down of rocks either through physical,mechanical,chemical etc actions into smaller particles.
ROCK A WILL HAVE MORE CHEMICAL WEATHERING BECAUSE THE PHYSICAL WEATHERING MUST HAVE BROKEN DOWN THE PARTICLES FOR EASY WATER AND OTHER SUBSTANCE NEEDED FOR EASIER CHEMICAL REACTION OR WEATHERING.
A chemist wants a 0.100 m solution of naoh. She has 0.0550 mol naoh available. What volume of solution is needed to make the mixture?
Answer:
She has to mix 0.0550 moles of NaOH in a 550 mL solution to make a 0.100 M solution
Explanation:
Step 1: Data given
Concentration of the solution = 0.100 M
Number of moles NaOH = 0.0550 moles
Step 2: Calculate the volume of solution she needs
Concentration NaOH solution = number of moles NaOH / volume solution
Volume of the solution = Number of moles NaOH / Concentration NaOH solution
Volume of the solution = 0.0550 moles NaOH / 0.100 mol /L
Volume of the solution needed = 0.55 L
Volume of the solution needed = 550 mL
She has to mix 0.0550 moles of NaOH in a 550 mL solution to make a 0.100 M solution
Answer:
0.550
Explanation:
Describe the process of energy transformation starting from reduced carbohydrates, through the metabolic cofactors (electron recipients) used in oxidative metabolism, ending with the eventual generation of ATP by ATP synthase. Be sure to specify the type of energy conserved at each step of the transformation.
Answer:
Carbohydrates are metabolized by three pathways which are glycolytic pathway, oxidation of fatty acids, and the citric acid cycle. The NADH and FADH2 formed in these pathways are energy rich molecules because each contains a pair of electrons having a high transfer potential. When these electrons are used to reduced molecular oxygen to water, a large amount of free energy is liberated which is used to generate ATP. This process is known as oxidative phosphorylation.
Explanation:
There are two type of reaction that takes place in oxidative phosphorylation which are oxidation and reduction.
First, carbon fuels are oxidized in the citric acid to yield electrons with high transfer potential. Then, this electron motives force is converted into a proton motive force and this proton motive force is finally converted into phoshoryl transfer potential. The final phase of oxidative phosphorylation is carried out by ATP synthase, an ATP synthesizing assembly that is driven by the flow of protons back into the mitochondrial matrix.
Answer:
Carbohydrates is a macromolecules which is broken down into simpler substances like glucose which is used in the generation of energy in the process of cellular respiration.
Explanation:
Glycolysis is the first phase of respiration in which glucose molecule is broken down forming two molecules of pyruvate, two molecules of ATP, two molecules of NADH and two molecules of water. The second phase is Krebs cycle in which oxidation of acetyl-CoA occurs and energy is released in the form 2 ATP and carbondioxide. Electron transport chain is a third phase in which NADH, FADH and oxygen are the reactants producing 34 ATP and water. 34 ATP includes ATP of glycolysis and Krebs cycle.
A 20 g piece of metal with specific heat 0.4 J/g.°C absorbs 3.9 kilojoules of heat,
calculate the change in temperature. Formula: Q= mcAT
Answer:
given that
....the mass of the metal is 20g(0.02kg)
....specific heat capacity(c) is 0.4J/g°C
....ΔT=??
heat(Q)=3.9KJ(3900J)
Q=mcΔT
ΔT= Q/mc
.....=3900÷(20g x 0.4J/g°C)
.....=487.5°C
Using the heat transfer formula Q = mcΔT, the change in temperature is calculated to be 487.5 °C. The metal absorbs 3.9 kJ of heat and has a specific heat capacity of 0.4 J/g°C.
To find the change in temperature for the 20 g piece of metal, we'll use the heat transfer formula:
Q = mcΔTWhere:
Q = heat absorbed (in joules)m = mass (in grams)c = specific heat capacity (in J/g°C)ΔT = change in temperature (in °C)Given:
Q = 3.9 kJ = 3900 Jm = 20 gc = 0.4 J/g°CRearrange the formula to solve for ΔT:
[tex]\Delta T = \frac{Q} {mc}[/tex]Substitute the given values:
[tex]\Delta T = \frac{3900 \ J} {20 g \times 0.4 J/g^\circ C}[/tex][tex]\Delta T = \frac{3900 \ J} {8\ J/g^\circ C}[/tex]ΔT = 487.5 °CThe change in temperature for the metal piece, given the provided data, is 487.5 °C.
What is the term used to describe the equilibrium constant for the autoionization of water?
Answer: The term used to describe the equilibrium constant for the autoionization of water is ION-PRODUCT CONSTANT of liquid water (Kw).
Explanation:
Autoionization of water can also be called self ionisation in which water molecules undergoes dehydronation reaction( which is reversible) to form hydroxide ion and hydronium ion. This helps to describe water as amphiprotic because it acts as an acid by donating a proton to a base to form the hydroxide ion or as a base by accepting a proton from an acid to form the hydronium ion.
Hence, the equilibrium constant for the autoionization of water is ION-PRODUCT CONSTANT of liquid water (Kw). At 25°C Kw = 1.01× 10-¹⁴.
Final answer:
The equilibrium constant for the autoionization of water is the ion-product constant for water, symbolized as Kw, with a value of 1.0 × 10-14 at 25 ℃.
Explanation:
The equilibrium constant for the autoionization of water is called the ion-product constant for water, and it is given the symbol Kw. The autoionization reaction can be represented as: H2O(l) = H+ (aq) + OH- (aq), and the respective Kw = [H+][OH-]. At 25 ℃, Kw has a value of 1.0 × 10-14. This reaction is an example of autoionization, where like molecules react to yield ions. The value of Kw is temperature-dependent and increases with rising temperatures. For instance, at 100 ℃, the value of Kw is about 5.6 × 10-13, which is significantly larger than at room temperature.
How have chemists affected our world for good?
A. Chemists have caused many problems that our present society
must face.
B. Chemists have given us the atomic theory and the scientific
method.
C. Chemists have learned how dangerous chemicals can be
D. Chemists have improved our quality of life.
Answer: i think the answer is
C. Chemists have learned how dangerous chemicals can be
Explanation:
Answer:
Chemists have improved our quality of life
Explanation:
Apex
physical or chemical change? what gave you the idea that it was such?
Answer:
chemical change
Explanation:
signs of a chemical change are a change in color and the formation of bubbles. The five conditions of chemical change: color change, formation of a precipitate, formation of a gas, odor change, temperature change.
Give me brainliest plz
If 3.0 atm of pure HN3(g) is decomposed initially, what is the final total pressure in the reaction container? What are the partial pressures of nitrogen and hydrogen gas? Assume the volume and temperature of the reaction container are constant.
This is an incomplete question, here is a complete question.
Hydrogen azide, HN₃, decomposes on heating by thefollowing unbalanced reaction:
[tex]HN_3(g)\rightarrow N_2(g)+H_2(g)[/tex]
If 3.0 atm of pure HN₃ (g) is decomposed initially,what is the final total pressure in the reaction container? Whatare the partial pressures of nitrogen and hydrogen gas? Assume thatthe volume and temperature of the reaction container are constant.
Answer : The partial pressure of [tex]N_2[/tex] and [tex]H_2[/tex] gases are, 4.5 atm and 1.5 atm respectively.
Explanation :
The given unbalanced chemical reaction is:
[tex]HN_3(g)\rightarrow N_2(g)+H_2(g)[/tex]
This reaction is an unbalanced chemical reaction because in this reaction number of hydrogen and nitrogen atoms are not balanced on both side of the reaction.
In order to balance the chemical equation, the coefficient '2' put before the [tex]HN_3[/tex] and the coefficient '3' put before the [tex]N_2[/tex] then we get the balanced chemical equation.
The balanced chemical reaction will be,
[tex]2HN_3(g)\rightarrow 3N_2(g)+H_2(g)[/tex]
As we are given:
The pressure of pure [tex]HN_3[/tex] = 3.0 atm
[tex]p_{Total}=2\times p_{HN_3}=2\times 3.0atm=6.0atm[/tex]
From the reaction we conclude that:
Number of moles of [tex]N_2[/tex] = 3 mol
Number of moles of [tex]H_2[/tex] = 1 mol
Now we have to calculate the mole fraction of [tex]N_2[/tex] and [tex]H_2[/tex]
[tex]\text{Mole fraction of }N_2=\frac{\text{Moles of }N_2}{\text{Moles of }N_2+\text{Moles of }H_2}=\frac{3}{3+1}=0.75[/tex]
and,
[tex]\text{Mole fraction of }H_2=\frac{\text{Moles of }H_2}{\text{Moles of }N_2+\text{Moles of }H_2}=\frac{1}{3+1}=0.25[/tex]
Now we have to calculate the partial pressure of [tex]N_2[/tex] and [tex]H_2[/tex]
According to the Raoult's law,
[tex]p_i=X_i\times p_T[/tex]
where,
[tex]p_i[/tex] = partial pressure of gas
[tex]p_T[/tex] = total pressure of gas = 6.0 atm
[tex]X_i[/tex] = mole fraction of gas
[tex]p_{N_2}=X_{N_2}\times p_T[/tex]
[tex]p_{N_2}=0.75\times 6.0atm=4.5atm[/tex]
and,
[tex]p_{H_2}=X_{H_2}\times p_T[/tex]
[tex]p_{H_2}=0.25\times 6.0atm=1.5atm[/tex]
Thus, the partial pressure of [tex]N_2[/tex] and [tex]H_2[/tex] gases are, 4.5 atm and 1.5 atm respectively.
The final total pressure in the reaction container remains the same as the initial pressure. The partial pressure of nitrogen gas is 1.15 M multiplied by the total pressure, and the partial pressure of hydrogen gas is three times the partial pressure of nitrogen gas.
Explanation:
To determine the final total pressure and partial pressures of nitrogen and hydrogen gas in the reaction container, we need to use the given information about the equilibrium mixture. From the information provided, the equilibrium mixture at 500 °C contains 1.35 M H2, 1.15 MN2, and 4.12 x 10-1 M NH3.
Since the volume and temperature of the container are constant, the total pressure in the container remains the same as the initial pressure of 3.0 atm.
The partial pressure of nitrogen gas (N2) can be calculated using its molar concentration and the total pressure using Dalton's law of partial pressures. According to the balanced equation N2(g) + 3H2(g) = 2NH3(g), the moles of N2(g) are equal to the moles of NH3(g). Therefore, the partial pressure of N2(g) is 1.15 M multiplied by the total pressure of 3.0 atm.
The partial pressure of hydrogen gas (H2) can be calculated using its molar concentration and the total pressure. Since there are three moles of H2(g) for each mole of NH3(g) according to the balanced equation, the partial pressure of H2(g) is 3 times the partial pressure of N2(g).
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