Chapter 1: Q12P (page 21)

When the reaction $A + B \Leftrightarrow C$ 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 ${ΔG}^{0} = - 18122.29 J / mol$ .

Step by step solution

Given data

The given reaction is,

$A + B \Leftrightarrow C$

${ΔG}^{0} = - 18122.29 J / mol$

A and Bare the substrates and C is the product.

Then,

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

Calculating the equilibrium constant

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

Calculating the standard free energy change

$Δ G = Δ G^{0} + R T \ln Q$

Where,

$ΔG$ Change in free energy

$Δ G^{0}$ Standard free energy change

R gas constant

T Standard temperature

At equilibrium

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

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

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When the reaction $A + B \Leftrightarrow C$ 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

Step by step solution

Given data

Calculating the equilibrium constant

Calculating the standard free energy change

At equilibrium

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

Short Answer

Step by step solution

Given data

Calculating the equilibrium constant

Calculating the standard free energy change

At equilibrium

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Biology Textbooks

Cell Communication

Biological Molecules

Genetic Information

Control of Gene Expression

Ecology

Communicable Diseases

Study anywhere. Anytime. Across all devices.

When the reaction $A + B \Leftrightarrow C$ 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?