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Chapter 1: Q12P (page 21)

When the reaction $A + B 鈬� C$ is at equilibrium, the concentrations of reactants are as follows: $[A] = 2 mM, [B] = 3 mM, [C] = 9 mM$ . What is the standard free energy change for the reaction?

Short Answer

Expert verified

The standard free energy change is ${螖骋}^{0} = - 18122.29 J / mol$ .

Step by step solution

01

Given data

The given reaction is,

$A + B 鈬� C$

${螖骋}^{0} = - 18122.29 J / mol$

A and Bare the substrates and C is the product.

Then,

$A + B 鈬� C$ $\begin{array}{l} [A] = 0.002 M \\ [B] = 0.003 M \\ [C] = 0.009 M \end{array}$ $\begin{array}{l} [A] = 0.002 M \\ [B] = 0.003 M \\ [C] = 0.009 M \end{array}$

02

Calculating the equilibrium constant

$\begin{array}{l} K_{e q}^{'} = \frac{[C]}{[A] 脳 [B]} \\ = \frac{[0.009 M]}{[0.002 M] 脳 [0.003 M]} \\ = 1500 M \end{array}$

03

Calculating the standard free energy change

$螖 G = 螖 G^{0} + R T \ln Q$

Where,

$螖骋$ Change in free energy

$螖 G^{0}$ Standard free energy change

R gas constant

T Standard temperature

04

At equilibrium

$\begin{array}{l} 螖 G^{0} = - R T \ln K_{e q}^{'} \\ = - 2.303 脳 8.314 J K^{- 1} m o l^{- 1} 脳 298 K 脳 \ln (1500 M) \\ = - 18122.29 J / m o l \end{array}$

Therefore, the standard free energy change is ${螖骋}^{0} = - 18122.29 J / mol$ .

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Most popular questions from this chapter

Two biochemical reactions have the same $K_{e q} = 5 脳 10^{8}$ at tem-perature $T_{1} = 298 K$ . However, Reaction 1 has $螖 H 掳 = - 28 k J m o l^{- 1}$ and Reaction 2 has. $螖 H 掳 = + 28 k J m o l^{- 1}$ The two reactions utilize the same reactants. Your lab partner has proposed that you can get more of the reactants to proceed via Reaction 2 rather than Reaction 1 by lowering the temperature of the reaction. Will this strategy work? Why or why not? How much would the temperature have to be raised or lowered in order to change the value of $\frac{K_{2}}{K_{1}}$ from 1 to 10?

Explain the selective advantages of compartmentation and metabolic pathways.

Look up methanogen and methanotroph. Where dosuch organisms occur? Summarize how they obtain matter and energy fromtheir surroundings. Draw a diagram to illustrate the metabolic interdependence of methanogens and methanotrophs.

According to molecular sequence data, to which prokaryotic group are eukaryotes more closely related?

Explain why complementarity would have been necessary for the development of self-replicating molecules

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