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For a reaction carried out at 25 oC with an equilibrium

Chapter 5, Problem 57P

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QUESTION:

Problem 57P

For a reaction carried out at 25 oC with an equilibrium constant of 1 × 10−3, in order to increase the equilibrium constant by a factor of 10:

a. How much must ΔGo change?

b. How much must ΔHo change if ΔSo = 0 kcal mol-1 K-1?

c. How much must ΔSo change if ΔHo = 0 kcal mol-1?

Questions & Answers

QUESTION:

Problem 57P

For a reaction carried out at 25 oC with an equilibrium constant of 1 × 10−3, in order to increase the equilibrium constant by a factor of 10:

a. How much must ΔGo change?

b. How much must ΔHo change if ΔSo = 0 kcal mol-1 K-1?

c. How much must ΔSo change if ΔHo = 0 kcal mol-1?

ANSWER:

Solution 57P

Step 1 of 3:

Here, we are asked to find how much change in free energy, standard enthalpy and entropy is required to increase the equilibrium constant by a factor of 10 for a reaction.

Given:

T = 25 oC = 298 K

Keq = 1 × 10−3

(a).

Here, we are asked how much must ΔGo change.

We know,

Go = _ RT ln Keq 

         = - 1.98610-3 298 Kln (10)

         = - 1.98610-3 298 K2.3

         = - 1.36 kcal/mol

Hence, ΔGo must change by -1.36 kcal/mol to increase the Keq by a factor of 10.

 


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