Answer: The correct answer is Option A.
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] .....(1)
For carbon dioxide:Given mass of carbon dioxide = 200 g
Molar mass of carbon dioxide = 44 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of carbon dioxide}=\frac{200g}{44g/mol}=4.54mol[/tex]
The given chemical equation of photosynthesis reaction follows:
[tex]6CO_2+6H_2O\rightarrow C_6H_{12}O_6+6O_2[/tex]
By Stoichiometry of the reaction:
If 6 moles of carbon dioxide produces 1 mole of glucose.
Then, 4.54 moles of carbon dioxide will produce = [tex]\frac{1}{6}\times 4.54=0.756mol[/tex]
Now, calculating the mass of glucose from equation 1, we get:
Molar mass of glucose = 180.2 g/mol
Moles of glucose = 0.756 moles
Putting values in equation 1, we get:
[tex]0.756mol=\frac{\text{Mass of glucose}}{180.2g/mol}\\\\\text{Mass of glucose}=136.48g[/tex]
Hence, the correct answer is Option A.
Calculate the osmotic pressure at 41 degrees C of a 0.078 M solution of glucose. Enter your answer using 2 decimal places!!!!
Answer:
Osmotic pressure is: 2,01 atm
Explanation:
Osmotic pressure is the minimum pressure that you needs to be apply to a solution to prevent the inward flow of its pure solvent across a semipermeable membrane. The formula of osmotic pressure is:
π = M×R×T
Where:
M is molar concentration of dissolved species (units of mol/L). 0,078M
R is ideal gas constant (0.08206 L atm mol⁻¹ K⁻¹, ).
T is the temperature on the Kelvin scale. 41°C +273,15 = 314,15 K
Replacing you have:
π = 0,078M×0.08206 L atm mol⁻¹ K⁻¹×314,15 K
π = 2,01 atm
I hope it helps!
Calculate the number of mol corresponding to 2.20 g Cl2. Enter your answer in the provided box. mol Cl2
Answer:
The number of mol corresponding to 2,20 g Cl2 is 0,062.
Explanation:
As we know that the molar mass of chlorine is 35.45 g/mol and in this case we have 2.20 grams of gas, if we divide the mass of the chlorine over the molar mass we will have the moles of our compound.
moles = mass / molar mass
moles = 2,20 g / 35,45 g/mol
moles = 0,062
4. A student purified a 500-mg sample of phthalic acid by recrystallization from water. The published solubility of phthalic acid in 100 mL of water is 0.54 g at 14 oc and 18 g at 99 0C. (a) What is the smallest volume of boiling water the student could use to dissolve 500 mg of phthalic acid?
Answer:
2.77 mL of boiling water is the minimum amount which will dissolve 500 mg of phthalic acid.
Explanation:
We know from the problem that 18 g of phthalic acid are dissolved in 100 mL of water at 99 °C.
Now we devise the following reasoning:
If 18 g of phthalic acid are dissolved in 100 mL of water at 99 °C
Then 0.5 g of phthalic acid are dissolved in X mL of water at 99 °C
X = (0.5 × 100) / 18 = 2.77 mL of water
Final answer:
To dissolve 500 mg of phthalic acid, a student could use a minimum of approximately 2.78 mL of boiling water, considering the solubility of 18 g per 100 mL at 99 ℃.
Explanation:
The question asks for the smallest volume of boiling water (at 99 ℃) needed to dissolve 500 mg of phthalic acid, with the solubility of phthalic acid provided as 0.54 g at 14 ℃ and 18 g at 99 ℃. To find this volume, we start by converting the mass of phthalic acid to be dissolved (500 mg or 0.5 g) to grams because the solubility is given in grams. Knowing the solubility of phthalic acid at 99 ℃ is 18 g per 100 mL, we calculate the volume required for 0.5 g as follows:
Solubility equation: (Volume of water) x (Solubility of compound in g/100mL) = Mass of compound to be dissolved
Thus, (Volume of water) x (18 g/100 mL) = 0.5 g
Rearranging for Volume of water gives: Volume of water = (0.5 g) / (18 g/100 mL) = 2.78 mL
Therefore, the student could use a minimum of approximately 2.78 mL of boiling water to dissolve 500 mg of phthalic acid.
A chemical reaction takes place among 3 molecular ions that have each lost 2 electrons, 2 molecular ions that have each gained 3 electrons, and 1 molecular ion that has gained 2 electrons. The products of the reaction are two neutral molecules and multiple molecular ions that each have a charge of magnitude e. How many molecular ions are produced, and are they charged positively or negatively?
Answer:
2 molecular ions are produced and they are charged negatively
Explanation:
If an ion loses an electron then its charge is +1, if it gains an electron then its charge is -1
3 molecular ions lost 2 electrons each, each ion is charged +2
Total charge = 3(+2) = +6
2 molecular ions gained 3 electrons each, each ion is charged -3
Total charge = 2(-3) = -6
1 molarcular ion gained 2 electrons, ion is charged -2
Net charge of the reactants is:
+6 -6 -2 = -2
The net charge of the reactants must be the same as the net charge of the products.
In the products you have 2 neutral molecules (with charge 0) and molecular ions with a charge of magnitude e.
Since the net charge in the reactants is negative, the net charge in the products is also negative
If the number of molecular ions in the products is x then its total charge is:
x*(-1) = -2
x = 2
Describe in detail how to prepare 500.0 mL of a 2.5 M calcium chloride solution. Calcium chloride is purchased as a solid. TO pipare weigh the deied wtight a 500.0 ml of a 2.3 M Calciom chlonde sdotion, frat
Answer:
In a volumetric flask of marking 500.0 mL add 138.75 grams of calcium chloride and add small amount of water to dissolve solute completely. After the solute gets completely soluble add more water up till the mark of 500 ml.
Explanation:
Concentration of calcium chloride = 2.5 M
Volume of the solution = 500.0 ml = 0.5000 L
Moles of calcium chloride = n
[tex]c=\frac{n}{V(L)}[/tex]
n = moles of solute
c = concentration of solution
V = volume of the solution in L
[tex]2.5 M=\frac{n}{0.5000 L}[/tex]
[tex]n=2.5 M\times 0.5000 L = 1.2500 mol[/tex]
[tex]n=\frac{\text{Mass of calcium chloride}}{\text{Molar mass of calcium chloride}}[/tex]
[tex]1.2500 mol=\frac{\text{Mass of calcium chloride}}{111 g/mol}[/tex]
Mass of calcium chloride = 111 g/mol × 1.2500 mol = 138.75 g
In a volumetric flask of marking 500.0 mL add 138.75 grams of calcium chloride and add small amount of water to dissolve solute completely. After the the solute gets completely soluble add more water up till the mark of 500 ml.
what pressure is generated when 5 mol of ethane is stored in a volume of 8 dm 3 at 25°C? Base calculations on each of the following: a) The Ideal Gas Equation. b) The truncated Virial equation with the second virial coefficient: B =-1 56.7x106 m3mor1 4)
Answer:
a) 40,75 atm
b) 30,11 atm
Explanation:
The Ideal Gas Equation is an equation that describes the behavior of the ideal gases:
PV = nRT
where:
P = pressure [atm]V = volume [L]n = number of mole of gas [n]R= gas constant = 0,08205 [atm.L/mol.°K]T=absolute temperature [°K]Note: We can express this values with other units, but we must ensure that the units used are the same as those used in the gas constant.
The truncated virial equation of state, is an equation used to model the behavior of real gases. In this, unlike the ideal gas equation, other parameters of the gases are considered as the intermolecular forces and the space occupied by the gas
[tex]\frac{Pv}{RT} = 1 + \frac{B}{v}[/tex]
where:
v is the molar volume [L/mol]B is the second virial coefficient [L/mol]P the pressure [atm]R the gas constant = 0,08205 [atm.L/mol.°K]a) Ideal gas equation:
We convert our data to the adecuate units:
n = 5 moles
V = 3 dm3 = 3 L
T = 25°C = 298°K
We clear pressure of the idea gas equation and replace the data:
PV = nRT ..... P = nRT/V = 5 * 0,08205 * 298/3 =40,75 atm
b) Truncated virial equation:
We convert our data to the adecuate units:
n = 5 moles
V = 3 dm3 = 3 L
T = 25°C = 298°K
B = -156,7*10^-6 m3/mol = -156,7*10^-3 L/mol
We clear pressure of the idea gas equation and replace the data:
[tex]\frac{Pv}{RT} = 1 + \frac{B}{v} ...... P = (1 + \frac{B}{v}) \frac{RT}{v}[/tex]
and v = 3 L/5 moles = 0,6 L/mol
[tex]P = (1 + \frac{-156,7*10^{-3} }{0,6} ) \frac{0,08205*298}{0,6} = 30,11 atm[/tex]
calculate hydrochloric acid (umol)in 200 ul of a
0.5173Msolution of acid?
Answer: The moles of hydrochloric acid is [tex]1.0346\times 10^{-4}\mu mol[/tex]
Explanation:
To calculate the molarity of solution, we use the equation:
[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]
Or,
[tex]\text{Molarity of the solution}=\frac{\text{Micro moles of solute}\times 10^6}{\text{Volume of solution (in }\mu L)}}[/tex]
We are given:
Molarity of solution = 0.5173 M
Volume of solution = [tex]200\mu L[/tex]
Putting values in above equation, we get:
[tex]0.5173M=\frac{\text{Micro moles of HCl}\times 10^6}{200\mu L}\\\\\text{Micro moles of HCl}=1.0346\times 10^{-4}\mu mol[/tex]
Hence, the moles of hydrochloric acid is [tex]1.0346\times 10^{-4}\mu mol[/tex]
Find the spring constant for a spring that stretches 1.4cm when a 638 g weight is attached to it. How much work is done as the spring extends?
Answer:
Spring constant: [tex]\rm 447\; N \cdot m^{-1}[/tex].
Work done: [tex]\rm 0.0438\; J[/tex].
Explanation:
Convert all values to SI units.
Length change: [tex]\rm 1.4 \; cm = 0.014\; m[/tex];Mass of the weight: [tex]\rm 638\; g = 0.638\; kg[/tex].Assume that the spring-mass system is vertical and is placed on the surface of the earth. The gravitational acceleration constant will be equal to [tex]\rm 9.81\; N\cdot kg^{-1}[/tex].
Gravitational pull on the weight:
[tex]W = m\cdot g = \rm 0.638\; kg \times 9.81\; N\cdot kg^{-1} = 6.25878\; N[/tex].
That's also the size of the force on the spring. [tex]F = \rm 6.25878\; N[/tex].
The spring constant is the size of the force required to deshape the spring (by stretching, in this case) by unit length.
[tex]\displaystyle k_{\text{spring}} = \frac{F}{\Delta x} = \rm \frac{6.25878\; N}{0.014\; m} = 447.056\; N\cdot m^{-1}[/tex].
Assume that there's no energy loss in this process. The work done on the spring is the same as the elastic potential energy that it gains:
[tex]\begin{aligned} &\text{EPE} \\=& \frac{1}{2}k\cdot x^{2} \\=&\rm \frac{1}{2} \times 447.056\; N\cdot m^{-1} \times (0.014\; m)^{2}\\ =& \rm 0.0438\; J\end{aligned}[/tex].
What is the instantaneous rate of formation of product C given the following information: a. Stoichiometric equation A+ B2C+ D b. Applicable rate equation is r.-k"CA"CB c. The rate constant is 6.0 liters/(mole-minute) d. The current concentrations of A and B species are CA 0.6 moles/liter and Ca 0.24 moles/liter
Answer:
1.728 mol /(L*min)
Explanation:
Hello,
In the attached photo, you'll find the numerical procedure for your question.
- Take into account that the negative sign is eligible for reagents and positive for products.
Best regards!
What is the sum of the numbers of neutrons and electrons in the ion 208Po Enter the value in the box as a whole number.
Answer:
Explanation:
Hello,
Polonium has the atomic number 83, thus, it has 83 protons and electrons; in such a way, the amount of neutrons is given by the subtraction:
[tex]neutrons=atomic.mass - atomic.number\\neutrons=208-83\\neutrons=125[/tex]
Now, the addition between the neutrons and electrons is the same atomic mass considering the previous formula, thus:
[tex]electrons+neutrons=83+125=208[/tex]
So this procedure could be avoided by just looking at the given information "208Po" which contains the result.
Best regards.
To calculate the sum of neutrons and electrons in the 208Po ion, presume it is a neutral atom due to the lack of charge information, which would result in 124 neutrons and 84 electrons. The sum of these particles is then 208.
Explanation:The question asks for the sum of the number of neutrons and electrons in the ion 208Po. To find the number of neutrons, we subtract the atomic number (number of protons) from the mass number. Polonium (Po) has an atomic number of 84, which is also the number of protons in a neutral atom of Polonium. The mass number of this isotope is 208, so the number of neutrons is 208 - 84 = 124. As for the number of electrons, since it is an ion and not neutral, we need to know the charge to determine this. However, as the charge is not provided in the question, we will assume that 208Po represents a neutral atom. Therefore, the number of electrons would also be 84. The sum of neutrons and electrons in the ion 208Po assuming it is uncharged is 124 + 84 = 208.
All of the following compounds can react as acids. Without using a table of acidities, rank them in order of increasing acidity. Explain your ranking. a. CH3CH2SO3H b. CH3CH OH c. CH3CH2COOH d. CH3CHCICOOH e. CICH CH2COOH
Answer:
The increasing order of Bronsted acids is:
(b) < (c) < (e) < (d) < (a)
Explanation:
A Bronsted acid is a substance who donated protons.
[tex]AH + H_{2}O[/tex] ⇄ [tex]A^{-} + H_{3}O^{+}[/tex]
The acidity of a compound is determined by the acidity constant and every factor that stabilizes the product of the acid reaction (the anion) will contribute to increase the acidity of the compound.
First, it is necesary to identify the donor group:
(a) is -SO3H
(b) is -OH
(c), (d) and (e) is -COOH
For these groups the order of acidity is
-SO3H > -COOH > -OH
The strongest is the group -SO3H because it comes from a strong inorganic acid (H2SO4). Second is the group -COOH, carboxylic acids are the strongest organic acids because of the resonance structure of the anion at acid equilibrium, this equilibrium shifts the reaction to products favoring deprotonation. Third is the group of -OH because alcohols are weak acids.
Further, between (c), (d) and (e) it is necessary to analyze the molecule substituents. The -Cl substituent is an electronegative group that stabilizes the anion of the equilibrium because of its inductive effect. Thus, the molecule with the -Cl near to de acidic group will be more acidic. Therefore the order of acidity between these three compounds will be: (d) > (e) > (c)
Summarised all, the final answer is (b) < (c) < (e) < (d) < (a)
In increasing order of acidity, the compounds are b. CH3CH OH, a. CH3CH2SO3H, c. CH3CH2COOH, d. CH3CHCICOOH, e. CICH CH2COOH.
Explanation:The acidity of a compound is determined by the stability of its conjugate base. The more stable the conjugate base, the stronger the acid. In this case, we can rank the compounds in increasing acidity as follows:
b. CH3CH OH: This compound is a weak acid because the hydroxyl group can donate a proton, resulting in the formation of a stable conjugate base.https://brainly.com/question/35095491
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On a weekend trip to Winnipeg (Canada) you see that gasoline sells for 103.6 cents Cnd per liter. What is the cost of gasoline in US dollars per gallon? Should you fill up in Winnipeg or wait until you get back to Pembina? (a border city in the US - gas price is $2.64 USS/gal) Note: 1 dollar Cnd 0.754 dollars US b) If the legal speed limit in Canada is 100 km/hr, what is the limit in miles/hr and m/sec?
Answer:
a) gas price = 2.96 Dollar US/gal; we could wait until we return to Pembina.
b ) v = 100 Km/h = 62.1371 miles/h = 27.777 m/s
Explanation:
a) gas price = 103.6 cents Cnd / L * ( L / 0.264172 gal ) = 392.17 cents/gal
⇒ gas price = 392.17 cents Cnd/gal * ( dollar Cnd/100cents ) = 3.9217 dollar Cnd/gal
⇒ gas price = 3.9217 dollar Cnd/gal * ( 0.754 dollar US/dollar Cnd)
⇒ gas price = 2.96 dollars US/gal
the difference between the price of gas in Winnipeg and Pembina is 0.32 dollars US; we could wait until we return to Pembina to fill the tank.
b) velocity = 100 Km/h
⇒ 100 Km/h * ( 0.621371 miles/Km ) = 62.1371 miles/h
⇒ 100 Km/h * ( 1000 m/Km ) * ( h/3600s) = 27.777 m/s
The cost of gasoline in US dollars per gallon in Winnipeg is $5.20 US per gallon, which is higher than the gas price in Pembina ($2.64 US per gallon). Therefore, it is advisable to wait until you get back to Pembina to fill up your gas tank. The speed limit in Winnipeg is 62.14 miles per hour or 27.78 meters per second.
Explanation:To convert the cost of gasoline from Canadian dollars per liter to US dollars per gallon, we need to consider the exchange rate and volume conversion.
First, we need to convert Canadian cents to Canadian dollars. Since there are 100 cents in a dollar, the cost of gasoline in Canadian dollars is 103.6 cents / 100 = 1.036 Canadian dollars per liter.
To convert Canadian dollars per liter to US dollars per gallon, we need to consider the exchange rate. Since 1 Canadian dollar is equivalent to 0.754 US dollars, the cost of gasoline in US dollars per liter is 1.036 Canadian dollars / 0.754 US dollars = 1.373 US dollars per liter.
Since there are roughly 3.79 liters in 1 gallon, the cost of gasoline in US dollars per gallon is 1.373 US dollars per liter * 3.79 liters = 5.20 US dollars per gallon.
Comparing the cost of gasoline in Winnipeg (103.6 cents Cnd per liter) to Pembina ($2.64 US per gallon), it is cheaper to fill up in Winnipeg as the cost in US dollars per gallon is 5.20 US dollars per gallon, which is less than $2.64 US per gallon in Pembina.
To convert the speed limit from kilometers per hour to miles per hour, we can use the conversion factor 1 kilometer = 0.6214 miles. The speed limit in miles per hour is 100 km/hr * 0.6214 miles/km = 62.14 miles/hr.
To convert the speed limit from kilometers per hour to meters per second, we can use the conversion factor 1 kilometer = 1000 meters and 1 hour = 3600 seconds. The speed limit in meters per second is 100 km/hr * (1000 m/km) / (3600 s/hr) = 27.78 m/s.
Not yet answered Marked out of 2.00 What is the concentration of NH4+ in 60.0 mL of a 0.50 M solution of (NH4)3PO4? (To write your answer using scientific notation use 1.0E-1 instead of 1.0 x 10-?) Answer: Answer
Answer : The concentration of [tex]NH_4^+[/tex] ion is [tex]0.15E^1M[/tex]
Explanation :
First we have to calculate the moles of [tex](NH_4)_3PO_4[/tex].
[tex]\text{Moles of }(NH_4)_3PO_4=\text{Concentration of }(NH_4)_3PO_4\times \text{Volume of solution}=0.50M\times 0.06L=0.03mole[/tex]
The balanced chemical reaction will be:
[tex](NH_4)_3PO_4\rightleftharpoons 3NH_4^++PO_4^{3-}[/tex]
From the reaction we conclude that,
1 mole of [tex](NH_4)_3PO_4[/tex] dissociate to give 3 moles of [tex]NH_4^+[/tex] ion and 1 mole of [tex]PO_4^{3-}[/tex] ion
So,
0.03 mole of [tex](NH_4)_3PO_4[/tex] dissociate to give [tex]3\times 0.03=0.09[/tex] moles of [tex]NH_4^+[/tex] ion and 0.03 mole of [tex]PO_4^{3-}[/tex] ion
Now we have to calculate the concentration of [tex]NH_4^+[/tex] ion.
[tex]\text{Concentration of }NH_4^+=\frac{\text{Moles of }NH_4^+}{\text{Total volume}}[/tex]
[tex]\text{Concentration of }NH_4^+=\frac{0.09mole}{0.06L}=1.5M=0.15E^1M[/tex]
Therefore, the concentration of [tex]NH_4^+[/tex] ion is [tex]0.15E^1M[/tex]
It is not possible to convert m3/sec into a velocity using only unit conversions. True False
Answer:
The statement is true
Explanation:
Any physical quantity has a unique dimensional representation and when we change the dimensions of any physical quantity it looses it's original form. while as unit conversion is applicable to physical quantities of same nature as speed can be converted from kilometers per hour to miles per hour or meters per second, changing the units of any physical quantity into different unit's but of same dimensional formula only changes a magnitude of the physical quantity as in the above case the speed will be speed no matter whatever be the units.
since [tex]\frac{m^3}{sec}[/tex] are not the units of velocity but of volumetric rate of flow we cannot convert this quantity into velocity by only unit conversion
Which statement is true about the relationship between entropy and spontaneity? O Spontaneous reactions tend to lead to higher entropy. O Entropy is the same as spontaneity. As entropy increases, spontaneity decreases. o As entropy increases, spontaneity is unaffected. nics?
Spontaneous reactions result in an increase in entropy, aligning with the second law of thermodynamics.
Explanation:The true statement about the relationship between entropy and spontaneity is: Spontaneous reactions tend to lead to higher entropy. This concept is encapsulated by the second law of thermodynamics, which states that all spontaneous changes cause an increase in the entropy of the universe. The increase in entropy relates to how energy and matter become more spread out and disordered over time in a spontaneous process, such as a chemical reaction or heat flow between two objects.
Prandtl number in heat transfer analogues to which dimension less number in mass transfer. a) Schmidt number b) Sherwood number c) Peclet number d) Stanton
Answer:
a) Schmidt number
Explanation:
Prandtl number in heat transfer is analogues to Schmidt number in mass transfer.
Prandtl number in heat transfer is the ration of momentum diffusivity to the heat diffusivity.
[tex]P_r = \frac{\nu}{\alpha}[/tex]
Whereas, Schmidt number in mass transfer is the ratio of momentum diffusivity to the mass diffusivity.
[tex]S_c= \frac{\nu}{\nu_{AB}}[/tex]
How many grams of glyoxylic acid and sodium glyoxylate are needed to prepare 2.50 L of a 1.60 M buffer at pH 3.85? The pKa of glyoxylic acid is 3.34. Note: Use the monohydrate forms, HCOCo2H H20 and HCOCO2Na H20 Number 113.78 g HCOCo,H H2O Number Incorrect. You may not have included the mass of the water g HCOCO,Na H2 molecule in your calculation of the molar mass of sodium glyoxylate.
Answer:
86.71 g of glyoxylic acid monohydrate, and 348.56 g of sodium glyoxylate monohydrate.
Explanation:
In order to solve this problem we need to use the Henderson–Hasselbalch equation:
pH= pka + [tex]log\frac{[A^{-} ]}{[HA]}[/tex]
In this case [A⁻] is the concentration of sodium glyoxylate, and [HA] is the concentration of glyoxylic acid.
Using the Henderson–Hasselbalch (H-H) equation, the given pH and pka we can determine a relationship between [A⁻] and [HA]:
3.85 = 3.34 + [tex]log\frac[{A^{-}] }{[HA]}[/tex]
0.51 = [tex]log\frac{[A^{-} ]}{[HA]}[/tex]
[tex]10^{0.51} =\frac{[A^{-}] }{[HA]} \\3.24=\frac{[A^{-} ]}{[HA]}[/tex]
Also from the problem, we know that
[A⁻] + [HA] = 1.60 M
We rearrange that equation to
[A⁻] = 1.60 M - [HA]
And replace the value of [A⁻] in the H-H equation and solve for [HA]:
[tex]3.24=\frac{1.60M-[HA]}{[HA]}\\3.24*[HA]=1.60-[HA]\\4.24*[HA]=1.60\\0.377 M = [HA][/tex]
We substract 0.377 M to 1.60 M in order to calculate [A⁻].
1.60 M - 0.377 M= 1.223 M = [A⁻]
Lastly we calculate the mass of each reagent, using the concentration, volume and molecular weights:
The formula of sodium glyoxylate monohydrate is C₂HO₃Na·H₂O, thus its molecular weight is 114 g/molThe formula of glyoxylic acid monohydrate is C₂H₂O₃·H₂O, thus its molecular weight is 92 g/molMass of glyoxylic acid:2.50 L * 0.377 M * 92 g/mol = 86.71 g glyoxylic acid monohydrate.
Mass of sodium glyoxylate:2.50 L * 1.223 M * 114 g/mol = 348.56 g sodium glyoxylate monohydrate.
Why does the problem ask that we use the monohydrate forms? Because that's the available reagent in the laboratory.
To prepare a 1.60 M buffer at pH 3.85 using glyoxylic acid and sodium glyoxylate, you will need 60.95 g of glyoxylic acid and 296.93 g of sodium glyoxylate.
Explanation:To calculate the grams of glyoxylic acid and sodium glyoxylate needed to prepare a 1.60 M buffer at pH 3.85, we first need to determine the mole ratios of the components in the buffer. The Henderson-Hasselbalch equation can be used to calculate these ratios:
pH = pKa + log([A-]/[HA])
In this case, the pKa of glyoxylic acid is given as 3.34. We can rearrange the equation to solve for the ratio of [A-]/[HA]:
log([A-]/[HA]) = pH - pKa = 3.85 - 3.34 = 0.51
10^0.51 = [A-]/[HA]
[A-]/[HA] = 3.295
Since we know the total volume of the buffer is 2.50 L and the molar concentration is 1.60 M, we can use the mole ratio to calculate the moles of glyoxylic acid and sodium glyoxylate needed:
[HA] = (1.60 M) / (1 + 3.295) = 0.327 M
[A-] = 3.295 * [HA] = 3.295 * 0.327 M = 1.076 M
Now we can use the molar masses of glyoxylic acid and sodium glyoxylate to calculate the mass needed:
Mass of glyoxylic acid = (0.327 M) * (2.50 L) * (74.04 g/mol) = 60.95 g
Mass of sodium glyoxylate = (1.076 M) * (2.50 L) * (110.07 g/mol) = 296.93 g
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A binary feed mixture contains 40 mol% hexane (A) and 60 mol% toluene (B) is to be separated continuously into two products D (distillate) and B (bottoms) in a distillation unit. Distillate D is 90 mol% hexane and the bottoms B is 90 mol% toluene. Using a feed flow rate of 100 lbmoh as basis, compute the flow rates of products B and D in: (a) lbmol/h, and (b) kmol/h.
Answer:
a) D = 33.44 Lbmol/h
⇒ B = 62.56 Lbmol/h
b) D = 16.848 Kmol/h
⇒ B = 28.152 Kmol/h
Explanation:
global balance:
F = D + B........................(1)∴ F = 100 Lbmol/h
balance per component:
A: 0.4*F = 0.9*D + 0.1*B = 0.4*100 = 40 Lbmol/h..............(2)
B: 0.6*F = 0.1*D + 0.9*B = 0.6*100 = 60 Lbmol/h..............(3)
from (2):
⇒ 0.9*D = 40 - 0.1*B
⇒ D = ( 40 - 0.1*B ) / 0.9............(4)
(4) in (3):
⇒ 0.1*((40-0.1*B)/0.9) + 0.9*B = 60
⇒ B = 62.56 Lbmol/h............(5)
(5) in (1):
⇒ D = 100 - B
⇒ D = 37.44 Lbmol/h
∴ Lbmol = 0.45 Kmol
⇒ B = 62.56 Lbmol/h * ( 0.45 Kmol/ Lbmol ) = 28.152 Kmol/h
⇒ D = 37.44 Lbmol/h * ( 0.45 Kmol/h ) = 16.848 Kmol/h
Hydrogen sulfide, H2S, has the characteristic odor of rotten eggs. If a sample of H2S gas at 755.0 torr and 25.0°C in a 2.00-L container is allowed to expand into a 13.0-L container at 25.0°C, what is the pressure in the 13.0-L container? Enter your answer in the provided box. atm
Answer:
0.153 atm or 116.1 torr
Explanation:
Hello, in the attached photo you will find the numerical procedure to obtain the pressure in the second state.
- Take into account that in the first part, the moles are needed based on the ideal gas equation, because they are subsequently used in the computation of the second state's pressure.
Best regards.
Using Boyle's Law, the new pressure of the gas when it's allowed to expand to a 13.0-L container is calculated to be 116.15 torr or 0.15 atm.
Explanation:The subject of this question involves the concept of gas laws, specifically Boyle's Law which states that at a constant temperature, the pressure and volume of a gas are inversely related. The initial pressure of the Hydrogen Sulfide gas is 755.0 torr and its initial volume is 2.00L. When the volume increases to 13.0L, the pressure will reduce accordingly.
To calculate the new pressure, the formula of Boyle's Law which is P1V1 = P2V2 can be used, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. Thus, P2 becomes (P1V1/V2) = (755.0 torr * 2.00L) / 13.0L = 116.15 torr.
However, as the question specifies that the answer is needed in atm, the result should be converted from torr to atm. As 1 atm is approximately equal to 760 torr, the final converted pressure is 116.15 torr / 760 torr/atm = 0.15 atm.
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Requiring industries to recycle 25% of plastics in their manufacturing process is an example of: Risk communication Risk assessment. Risk perception © Risk management.
Answer:
Risk management
Explanation:
Risk communication is exchange of the advice, real-time information and the opinions between the experts and the people which are facing threats to their economic, health, or well-being.
Risk assessment is overall process where the hazards and the risk factors which have potential to cause the harm is identified.
Risk perception is subjective judgement which people/ experts make about characteristics and the severity of the risk.
Risk management is evaluation, identification and prioritization of the risks followed by the coordinated and the economical application of the resources to monitor, minimize and control probability of the unfortunate events.
Thus, Option D is correct because in risk management, a Quantitative Solution is given to decrease risk level like to recycle the plastic.
Answer:
Risk management.
Explanation:
Hello
In this case, it is convenient for us to define the four types of risks regarding to manufacturing processes as follows:
- Risk communication is an interactive process in which the just the exchange of information and opinion about a particular risk among risk specialists and other interested organisms. This is not the answer as it implies a requirement not the aforesaid exchange of information.
- Risk assessment useful to describe the widespread procedure to identify hazards and risk factors and their consequences and to both analyze and evaluate the risk regarding to such hazard. This is not the answer as a requirement is not procedure indeed.
- Risk perception involves how one both thinks and feels about the faced risks. This is not the answer as a requirement is not something coming from a thought or feeling.
- Risk management accounts for the identification, evaluation, and prioritization of risks followed by a coordinated and economical application of resources to minimize, monitor, and control the probability or impact of harmful facts or to maximize the realization of opportunities. This is the answer as a requirement is eligible for the identification and a subsequent application of a resource as the industries must recycle the specified amount via varied industrial processes (recirculation, storage and others).
Best regards.
Calcum chloride contains only calcum and chloride What is the fomula for this compound? fou need the Peodie Table for thia question to detemine he proups of these elemente and thus determine ther onzaon deo for the Podic Table of he Elements in he Introduction to the queton) You might ao choope to acpes he Express your answer as a chemical formule View Available His) C. AE4 CaCI
Answer:
[tex]CaCl_2[/tex]
Explanation:
Calcium is the element of the group 2 and period 4 which means that the valence electronic configuration is [tex][Ar]4s^2[/tex].
Chlorine is the element of the group 17 and period 3 which means that the valence electronic configuration is [tex][Ne]3s^23p^5[/tex].
Thus, calcium losses 2 electrons to 2 atoms of chlorine and these 2 atoms of chlorine accepts each electron to form ionic bond. This is done in order that the octet of the atoms are complete and they become stable.
Ca Cl
2 1
Cross multiplying the valency, We get, [tex]CaCl_2[/tex]
Thus, the formula of calcium chloride is [tex]CaCl_2[/tex].
Calcium Chloride, with the formula CaCl2, is composed of one calcium (Ca2+) ion and two chloride (Cl-) ions to ensure electrical neutrality.
Explanation:The compound Calcium Chloride is formed by the elements calcium (Ca) and Chloride (Cl). From the periodic table, we can see that calcium (Ca) forms +2 ions and Chloride (Cl) forms -1 ions. As compounds must be electrically neutral, the formula of an ionic compound represents the simplest ratio of the numbers of ions necessary to balance out the charges. Thus, for every calcium ion, we need two chloride ions to balance out the charges. So the formula for this compound is CaCl2.
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Rate law equation The rate of a chemical reaction depends on the concentrations of the reactants. For the general reaction between A and B, aA+bB⇌cC+dD The dependence of the reaction rate on the concentration of each reactant is given by the equation called the rate law: rate=k[A]m[B]n where k is a proportionality constant called the rate constant. The exponent m determines the reaction order with respect to A, and n determines the reaction order with respect to B. The overall reaction order equals the sum of the exponents (m+n). What is the reaction order with respect to A?
Answer: The reaction order with respect to A is m
Explanation:
Order of the reaction is defined as the sum of the concentration of terms on which the rate of the reaction actually depends. It is the sum of the exponents of the molar concentration in the rate law expression.
Elementary reactions are defined as the reactions for which the order of the reaction is same as its molecularity and order with respect to each reactant is equal to its stoichiometric coefficient as represented in the balanced chemical reaction.
For the given reaction:
[tex]aA+bB\rightleftharpoons cC+dD[/tex]
[tex]Rate=k[A]^m[B]^n[/tex]
In this equation, the order with respect to each reactant is not equal to its stoichiometric coefficient which is represented in the balanced chemical reaction.
Hence, this is not considered as an elementary reaction.
Order with respect to A = m
Order with respect to B = n
Overall order = m+n
Thus order with respect to A is m.
In a rate law equation, the reaction order with respect to a reactant, for instance, A, is represented by the corresponding exponent in that equation. It defines how the rate of the chemical reaction alters with the concentration change of that reactant.
Explanation:In a rate law equation, the reaction order with respect to a certain reactant, say, A, is represented by the exponent 'm' in the equation rate=k[A]m[B]n. This shows how the rate of the chemical reaction changes with the change in concentration of the reactant A. The higher 'm' is, the more sensitive the reaction rate is to the concentration of reactant A. It could be zero, indicating that the reaction rate is independent of the concentration of A; one, indicating a first-order dependence, and so on.
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What is a bond between atoms with comparable electronegativities called? Give an example of two atoms forming such a bond.
Answer:
Covalent bonds
Explanation:
Covalent bonds
These types of chemical bonds are between the atoms of same or comparable electronegtivity .
The formation of bond is to attain stability of the compound formed .
Hence , octet rule plays a major rule .
For example ,
The bond between the atoms of H₂ is a covalent bond , since , one atom of H have only 1 electron in its valence shell .
So it shares its one electron with another Hydrogen atom to attain stability , and forms a covalent bond .
The peak in the emission spectrum of a star occurs at 300 nm, what is the estimated surface temperature in Kelvin? Note: required precision is 2%
Explanation:
It is given that peak (maximum) emission of star is 300 nm.
And, it is known that according to Wein's displacement relation between wavelength and temperature is as follows.
[tex]\lambda_{max} \times T[/tex] = 2898 micrometer.K
Hence, putting the given values into the above formula as follows.
[tex]\lambda_{max} \times T[/tex] = 2898 micrometer.K
[tex]300 \times 10^{-9} m \times T[/tex] = 2898 \times 10^{-6} meter.K
T = [tex]\frac{2898000}{300}[/tex] K
= 9660 K
Thus, we can conclude that the estimated surface temperature of star is 9660 K.
Using Wien's Law, the estimated surface temperature of a star with a peak emission at 300 nm is approximately 9660 Kelvin, considering a 2% precision.
Explanation:To estimate the surface temperature of a star based on its peak emission wavelength, we use Wien's Law, which is a principle in physics that describes the relationship between the peak wavelength of emission from a blackbody and its temperature. Wien's Law can be written as:
λmax * T = b
where λmax is the peak wavelength in meters, T is the temperature in Kelvin, and b is Wien's displacement constant, approximately 2.897 × 10-3 m·K.
To find the temperature, we rearrange the formula to solve for T:
T = b / λmax
Converting the peak wavelength from nanometers to meters (300 nm = 3 × 10-7 m), we can calculate the temperature of the star as follows:
T = 2.897 × 10-3 m·K / 3 × 10-7 m
= 9660 Kelvin
Allowing for a 2% precision, the estimated temperature range of the star is approximately 9660K ± 2%.
A sample of neon gas collected at a pressure of L45 atm and a temperature of 15.0 C is found to occupy a velume of 24.3 liters How many moles of Ne gas are in the sample mol Submit Answer Retry Entire Group 2 more group attempts remaining
Answer : The moles of Ne gas are 46.25 moles.
Explanation :
using ideal gas equation
[tex]PV=nRT[/tex]
where,
P = pressure of gas = 45 atm
V = volume of gas = 24.3 L
T = temperature of gas = [tex]15.0^oC=273+15.0=288K[/tex]
R = gas constant = 0.0821 L.atm/mole.K
n = moles of gas = ?
Now put all the given values in the ideal gas equation, we get:
[tex](45atm)\times (24.3L)=n\times (0.0821L.atm/mole.K)\times (288K)[/tex]
[tex]n=46.25mole[/tex]
Therefore, the moles of Ne gas are 46.25 moles.
Urea is an organic compound widely used as a fertilizer. Its solubility in water allows it to be made into aqueous fertilizer solutions and applied to crops in a spray.
H2N-CO-NH2
What is the maximum theoretical number of water molecules with which one urea molecule can hydrogen bond? (Exact whole number required.)
Answer:
One urea molecule can make hydrogen bonding with 8 water molecules
Explanation:
Hydrogen bonding takes place between lone pair of electronegative atoms (O,N and F) and H atom attached with those electronegative atoms.Draw the lewis structure of urea and determine how many lone pairs and H atoms are available for hydrogen bonding formation.Theoretically one urea can make hydrogen bonding with 8 water molecules.Representation of hydrogen bonding has been given below.Urea can form up to 4 hydrogen bonds with water molecules.
The maximum theoretical number of water molecules with which one urea molecule can hydrogen bond is 4.
This is because urea has 4 hydrogen bond donor sites (NH groups) and 2 hydrogen bond acceptor sites (carbonyl oxygen).
Each hydrogen bond requires one hydrogen bond donor and one hydrogen bond acceptor, so one urea molecule can form up to 4 hydrogen bonds with water molecules.
The molar absorptivity for aqueous solutions of phenol at 211 nm is 6.17x103L/mol/cm. Calculate the linear range of phenol concentrations if the transmittance is to be less than 85% and greater than 7% when the measurements are made in 1cm cell.
Explanation:
The given data is as follows.
[tex]\lambda[/tex] = 211 nm, [tex]\sum = 6.17 \times 10^{3} mol/L/cm[/tex]
l = 1 cm, 7% < Transmittance < 85%
Suppose the aqueous solution follows Lambert-Beer's law. Therefore,
Absorbance = [tex]-log \frac{\text{Percentage transmittance}}{100}[/tex]
Hence, for 7% transmittance the value of absorbance will be as follows.
Absorbance = [tex]-log \frac{7}{100}[/tex]
[tex]A_{1}[/tex] = 1.155
For 85% transmittance the value of absorbance will be as follows.
Absorbance = [tex]-log \frac{85}{100}[/tex]
[tex]A_{2}[/tex] = 0.07058
According to Lambert-Beer's law.
A = [tex]\sum \times l \times C[/tex]
where, A = absorbance
[tex]\sum[/tex] = molar extinction coefficient
C = concentration
Therefore, concentration for 7% absorbance is as follows.
[tex]A_{1} = \sum \times l \times C_{1}[/tex]
[tex]C_{1}[/tex] = [tex]\frac{1.155}{6.17 \times 10^{3} \times 1}[/tex]
= [tex]0.187 \times 10^{-3} mol/L[/tex]
= 0.187 mmol/L
Concentration for 85% absorbance is as follows.
[tex]A_{2} = \sum \times l \times C_{2}[/tex]
[tex]C_{2}[/tex] = [tex]\frac{0.07058}{6.17 \times 10^{3} \times 1}[/tex]
= [tex]0.01144 \times 10^{-3} mol/L[/tex]
= 0.01144 mmol/L
Thus, we can conclude that linear range of phenol concentration is 0.01144 mmol/L to 0.187 mmol/L.
The linear range of phenol concentrations for the given conditions is from [tex]\( 1.14 \times 10^{-5} \) M to \( 1.87 \times 10^{-4} \) M[/tex].
To calculate the linear range of phenol concentrations, we need to use the Beer-Lambert law, which relates the absorbance (A) of a solution to its concentration (c), the molar absorptivity (µ), and the path length (l) of the cell:
[tex]\[ A = \varepsilon \cdot c \cdot l \][/tex]
The transmittance (T) is related to absorbance by the equation:
[tex]\[ T = 10^{-A} \][/tex]
Given that the molar absorptivity (µ) is [tex]\( 6.17 \times 10^3 \)[/tex] L/mol/cm and the path length (l) is 1 cm, we can rearrange the Beer-Lambert law to solve for concentration (c):
[tex]\[ c = \frac{A}{\varepsilon \cdot l} \][/tex]
First, we need to find the absorbance values corresponding to 85% and 7% transmittance:
For 85% transmittance:
[tex]\[ A = -\log(T) = -\log(0.85) \][/tex]
[tex]\[ A \approx 0.0706 \][/tex]
For 7% transmittance:
[tex]\[ A = -\log(T) = -\log(0.07) \][/tex]
[tex]\[ A \approx 1.1549 \][/tex]
Now we can calculate the concentration range:
For the lower limit of transmittance (7%):
[tex]\[ c_{min} = \frac{A_{min}}{\varepsilon \cdot l} = \frac{1.1549}{6.17 \times 10^3 \cdot 1} \] \[ c_{min} \approx 1.87 \times 10^{-4} \text{ M} \][/tex]
For the upper limit of transmittance (85%):
[tex]\[ c_{max} = \frac{A_{max}}{\varepsilon \cdot l} = \frac{0.0706}{6.17 \times 10^3 \cdot 1} \] \[ c_{max} \approx 1.14 \times 10^{-5} \text{ M} \][/tex]
Therefore, the linear range of phenol concentrations for the given conditions is from [tex]\( 1.14 \times 10^{-5} \) M to \( 1.87 \times 10^{-4} \) M[/tex].
The maximum pressure that can be developed for a certain fluid power cylinder is 6000 psi. Compute the force it can exert if the piston diameter is 2 inches.
Answer:
18840 lbf
Explanation:
Considering the physical equation:
[tex]F = PA[/tex]
It is possible to determine the force exerted by the piston if the maximum pressure developed ([tex]P_{max}[/tex]) and the area ([tex]A[/tex]) are previously known.
The area of the piston can be known through:
[tex]A = \pi *r^{2}[/tex]
Being [tex]r = \frac{d}{2} = 1~in[/tex]
Then
[tex]A = \pi * r^{2} = 3,14~in^{2}[/tex]
On the other hand, physical units of pressure in PSI are [tex]\frac{lbf}{in^{2}}[/tex], where the force is given in lbf.
Finally, the exerted force is:
[tex]F = 6000~PSI \cdot 3,14~in^{2} = 18840~lbf[/tex]
Succinic acid, a white solid that melts at 182°C, is heated gently, and a gas is given off. After the gas evolution stops, a white solid remains that melts at a temperature different from 182°C. In terms of the number of atoms contained, how do you thing the size of succinic acid molecules compares with the size of the molecules of the white solid produced by this process?
The molecular size of succinic acid is larger than that of the decomposed product which is evident from the production of a gas and a solid with a different melting point upon heating.
In the process described where succinic acid is heated and gives off a gas, then leaves behind a solid that melts at a different temperature, suggests a chemical reaction has occurred, possibly a decomposition reaction. The succinic acid molecules are likely larger than the molecules of the white solid produced because decomposition breaks larger molecules into smaller ones. This change in melting point and the evolution of gas support that the molecular structure of the succinic acid has been altered, creating a substance with new properties, including a new melting point that typically involves smaller molecules compared to the original substance.
Buffer capacity. Two solutions of sodium acetate are prepared, one having a concentration of 0.1 M and the other having a concentration of 0.01 M. Calculate the pH values when the following concentrations of HCl have been added to each of these solutions: 0.0025 M, 0.005 M, 0.01 M, and 0.05 M.
Answer:
[CH₃COO⁻] [H⁺] pH
0,1 M 0,0025 M 6,30
0,1 M 0,005 M 6,02
0,1 M 0,01 M 5,70
0,1 M 0,05 M 4,74
0,01 M 0,0025 M 5,22
0,01 M 0,005 M 4,75
0,01 M 0,01 M 3,38
0,01 M 0,05 M 1,40
Explanation:
The equilibrium of sodium acetate is:
CH₃COOH ⇄ CH₃COO⁻ + H⁺ Kₐ = 1,8x10⁻⁵
Where [CH₃COO⁻] are 0,1 M and 0,01 M and [H⁺] are 0,0025 M 0,005 M 0,01 M and 0,05 M.
For [CH₃COO⁻]=0,1 M and [H⁺]=0,0025M the concentrations in equilibrium are:
[CH₃COO⁻] = 0,1 M - x
[H⁺] = 0,0025 M - x
[CH₃COOH] = x
The expression for this equilibrium is:
Ka = [tex]\frac{[CH3COO^-] [H^+] }{[CH3COOH]}[/tex]
Replacing:
1,8x10⁻⁵ = [tex]\frac{[0,1-x] [0,0025-x] }{[x]}[/tex]
Thus:
0 = x²-0,102518x +2,5x10⁻⁴
Solving:
x = 0,100 ⇒ No physical sense
x = 0,0024995
Thus, [H⁺] = 0,0025-0,0024995 = 5x10⁻⁷
pH = - log [H⁺] = 6,30
Following the same procedure changing both [CH₃COO⁻] and [H⁺] initial concentrations the obtained pH's are:
[CH₃COO⁻] [H⁺] pH
0,1 M 0,0025 M 6,30
0,1 M 0,005 M 6,02
0,1 M 0,01 M 5,70
0,1 M 0,05 M 4,74
0,01 M 0,0025 M 5,22
0,01 M 0,005 M 4,75
0,01 M 0,01 M 3,38
0,01 M 0,05 M 1,40
I hope it helps!
The pH values for the [tex]0.1 \ M[/tex] sodium acetate solution when [tex]0.0025 \ M[/tex], [tex]0.005\ M, 0.01\ M,[/tex] and [tex]0.05\ M[/tex] [tex]HCl[/tex] are added are approximately [tex]6.35, 6.03, 5.70,[/tex] and [tex]4.75[/tex] respectively. For the 0.01 \ M sodium acetate solution, the pH values are approximately [tex]5.23, 4.75, 2,[/tex] and [tex]1.30[/tex] respectively.
The Henderson-Hasselbalch equation is given by:
[tex]\[ \text{pH} = \text{pKa} + \log \left( \frac{[\text{base}]}{[\text{acid}]} \right) \][/tex]
For acetic acid ([tex]CH_3COOH[/tex]) and its conjugate base acetate ([tex]CH_3COO^-[/tex]), the [tex]pKa[/tex] is approximately [tex]4.75[/tex] at [tex]25^\circ C[/tex]
Let's calculate the pH for each case:
1. For the [tex]0.1 \ M[/tex] sodium acetate solution:
a. When [tex]0.0025 \ M \ HCl[/tex] is added:
The concentration of acetate ions remains [tex]0.1 \ M[/tex], while the concentration of acetic acid formed by the reaction of [tex]HCl[/tex] with acetate ions is [tex]0.0025 \ M[/tex]
[tex]\[ \text{pH} = 4.75 + \log \left( \frac{0.1}{0.0025} \right) \][/tex]
[tex]\[ \text{pH} = 4.75 + \log (40) \][/tex]
[tex]\[ \text{pH} = 4.75 + 1.60 \][/tex]
[tex]\[ \text{pH} = 6.35 \][/tex]
b. When [tex]0.005\ M \ HCl[/tex] is added:
The concentration of acetate ions is now [tex]0.095 \ M[/tex], and the concentration of acetic acid is [tex]0.005\ M[/tex]
[tex]\[ \text{pH} = 4.75 + \log \left( \frac{0.095}{0.005} \right) \][/tex]
[tex]\[ \text{pH} = 4.75 + \log (19) \][/tex]
[tex]\[ \text{pH} = 4.75 + 1.28 \][/tex]
[tex]\[ \text{pH} = 6.03 \][/tex]
c. When [tex]0.01 \ M \ HCl[/tex] is added:
The concentration of acetate ions is now [tex]0.09 \ M[/tex], and the concentration of acetic acid is[tex]0.01\ M[/tex]
[tex]\[ \text{pH} = 4.75 + \log \left( \frac{0.09}{0.01} \right) \][/tex]
[tex]\[ \text{pH} = 4.75 + \log (9) \][/tex]
[tex]\[ \text{pH} = 4.75 + 0.95 \][/tex]
[tex]\[ \text{pH} = 5.70 \][/tex]
d. When [tex]0.05 \ M \ HCl[/tex] is added:
The concentration of acetate ions is now [tex]0.05 \ M[/tex], and the concentration of acetic acid is [tex]0.05 \ M[/tex]
[tex]\[ \text{pH} = 4.75 + \log \left( \frac{0.05}{0.05} \right) \][/tex]
[tex]\[ \text{pH} = 4.75 + \log (1) \][/tex]
[tex]\[ \text{pH} = 4.75 \][/tex]
2. For the [tex]0.01 \ M[/tex] sodium acetate solution:
a. When [tex]0.0025\ M \ HCl[/tex] is added:
The concentration of acetate ions is now [tex]0.0075 \ M[/tex], and the concentration of acetic acid is [tex]0.0025 \ M[/tex].
[tex]\[ \text{pH} = 4.75 + \log \left( \frac{0.0075}{0.0025} \right) \][/tex]
[tex]\[ \text{pH} = 4.75 + \log (3) \][/tex]
[tex]\[ \text{pH} = 4.75 + 0.48 \][/tex]
[tex]\[ \text{pH} = 5.23 \][/tex]
b. When [tex]0.005 \ M \ HCl[/tex] is added:
The concentration of acetate ions is now [tex]0.005 \ M[/tex], and the concentration of acetic acid is[tex]0.005 \ M[/tex]
[tex]\[ \text{pH} = 4.75 + \log \left( \frac{0.005}{0.005} \right) \][/tex]
[tex]\[ \text{pH} = 4.75 + \log (1) \][/tex]
[tex]\[ \text{pH} = 4.75 \][/tex]
c. When [tex]0.01 \ M\ HCl[/tex] is added:
The concentration of acetate ions is now [tex]0 M[/tex] (fully reacted), and the concentration of acetic acid is [tex]0.01 \ M[/tex]. The solution is no longer buffered, and the pH is that of a [tex]0.01 \ M[/tex] acetic acid solution.
[tex]\[ \text{pH} = -\log (0.01) \][/tex]
[tex]\[ \text{pH} = 2 \][/tex]
d. When [tex]0.05 \ M \ HCl[/tex] is added:
The solution is overwhelmed by the strong acid, and the pH is determined by the excess [tex]HCl[/tex]. The pH is approximately that of a [tex]0.05 M HCl[/tex] solution.
[tex]\[ \text{pH} = -\log (0.05) \][/tex]
[tex]\[ \text{pH} = 1.30 \][/tex]