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sergey [27]
3 years ago
10

After mixing equal amounts of the two molecules, the solution achieved equilibrium at 25 ∘ C . 25 ∘C. The concentration at equil

ibrium of glucose 1‑phosphate is 0.01 M, 0.01 M, and the concentration at equilibrium of glucose 6‑phosphate is 0.19 M. 0.19 M. Calculate the equilibrium constant, K eq , Keq, and the standard free energy change, Δ G ∘ , ΔG∘, of the reaction mixture.
Chemistry
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

Keq = 19

ΔG° = -7.3kJ/mol

Explanation:

Based on the chemical reaction:

Glucose 1-phosphate ⇄ Glucose 6-phosphate

The equilibrium constant, Keq is defined as:

Keq = [Glucose 6-phosphate] / [Glucose 1-phosphate]

<em>Where [] are equilibrium concentrations of each substance</em>

<em />

Replacing:

Keq = [0.19M] / [0.01M]

Keq = 19

Now, standard free energy change, ΔG° is defined as:

ΔG° = -RT ln K

<em>Where R is gas constant 8.314J/molK</em>

<em>T is absolute temperature (25°C + 273.15K = 298.15K)</em>

<em>and K is equilibrium constant = 19</em>

<em />

Replacing:

ΔG° = -8.314J/molK*298.15K ln 19

ΔG° = -7299J/mol

ΔG° = -7.3kJ/mol

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The question is incomplete, here is the complete question:

Phosgene, COCl_2, gained notoriety as a chemical weapon in World War I. Phosgene is produced by the reaction of carbon monoxide with chlorine:  

CO(g)+Cl_2(g)\rightleftharpoons COCl_2(g)

The value of K_c for this reaction is 5.79 at 570 K. What are the equilibrium partial pressures of the three gases if a reaction vessel initially contains a mixture of the reactants in which p_{CO}=p_{Cl_2}=0.265atm and p_{COCl_2}=0.000atm ?

<u>Answer:</u> The equilibrium partial pressure of CO, Cl_2\text{ and }COCl_2 is 0.257 atm, 0.257 atm and 0.008 atm respectively.

<u>Explanation:</u>

The relation of K_c\text{ and }K_p is given by:

K_p=K_c(RT)^{\Delta n_g}

K_p = Equilibrium constant in terms of partial pressure

K_c = Equilibrium constant in terms of concentration = 5.79

\Delta n_g = Difference between gaseous moles on product side and reactant side = n_{g,p}-n_{g,r}=1-2=-1

R = Gas constant = 0.0821\text{ L. atm }mol^{-1}K^{-1}

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Putting values in above equation, we get:

K_p=5.79\times (0.0821\times 570)^{-1}\\\\K_p=0.124

We are given:

Initial partial pressure of CO = 0.265 atm

Initial partial pressure of chlorine gas = 0.265 atm

Initial partial pressure of phosgene = 0.00 atm

The given chemical equation follows:

                      CO(g)+Cl_2(g)\rightleftharpoons COCl_2(g)

<u>Initial:</u>            0.265      0.265

<u>At eqllm:</u>        0.265-x    0.265-x        x

The expression of K_p for above equation follows:

K_p=\frac{p_{COCl_2}}{p_{CO}\times p_{Cl_2}}

Putting values in above equation, we get:

0.124=\frac{x}{(0.265-x)\times (0.265-x)}\\\\x=0.0082,8.59

Neglecting the value of x = 8.59 because equilibrium partial pressure cannot be greater than initial pressure

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The equilibrium partial pressure of Cl_2=(0.265-x)=(0.265-0.008)=0.257atm

The equilibrium partial pressure of COCl_2=x=0.008atm

Hence, the equilibrium partial pressure of CO, Cl_2\text{ and }COCl_2 is 0.257 atm, 0.257 atm and 0.008 atm respectively.

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