Ch.18 - Free Energy and Thermodynamics

Problem 75

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Chapter 18, Problem 75

Consider the reaction: CO(g) + 2 H2(g) ⇌ CH3OH(g) with Kp = 2.26 * 10^4 at 25°C. Calculate ΔG°rxn for the reaction at 25°C under each of the following conditions: a. standard conditions b. at equilibrium c. PCH3OH = 1.0 atm; PCO = PH2 = 0.010 atm

Verified step by step guidance

insert step 1> Calculate

Δ G_{r x n}^{\circ}

using the relation

Δ G_{r x n}^{\circ} = - R T \ln K_{p}

where

R = 8.314 \times 10^{- 3}

kJ/mol·K and

T = 298

insert step 2> For part (a), under standard conditions,

Δ G_{r x n}^{\circ}

is calculated using the formula from step 1.

insert step 3> For part (b), at equilibrium,

Δ G_{r x n} = 0

because the reaction is at equilibrium.

insert step 4> For part (c), use the reaction quotient

Q_{p} = \frac{P_{C H_{3} O H}}{P_{C O} \cdot (P_{H_{2}})^{2}}

to find

Q_{p}

with given pressures.

insert step 5> Calculate

Δ G_{r x n}

using

Δ G_{r x n} = Δ G_{r x n}^{\circ} + R T \ln Q_{p}

with

Q_{p}

from step 4.

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Related Practice

Textbook Question

Use data from Appendix IIB to calculate the equilibrium constants at 25 °C for each reaction. a. 2 CO(g) + O₂(g) ⇌ 2 CO₂(g)

Use data from Appendix IIB to calculate the equilibrium constants at 25 °C for each reaction. b. 2 H₂S(g) ⇌ 2 H₂(g) + S₂(g)

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Open Question

Use data from Appendix IIB to calculate the equilibrium constants at 25 °C for each reaction. ΔG°f for BrCl(g) is -1.0 kJ/mol. a. 2 NO2(g) ⇌ N2O4(g) b. Br2(g) + Cl2(g) ⇌ 2 BrCl(g)

Textbook Question

Consider the reaction: I₂(g) + Cl₂(g) ⇌ 2 ICl(g) K_p = 81.9 at 25 °C Calculate ΔG_rxn for the reaction at 25 °C under each of the following conditions: a. standard conditions

811

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Textbook Question

Consider the reaction: I₂(g) + Cl₂(g) ⇌ 2 ICl(g) K_p = 81.9 at 25 °C Calculate ΔG_rxn for the reaction at 25 °C under each of the following conditions: b. at equilibrium

977

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Textbook Question

Consider the reaction: I₂(g) + Cl₂(g) ⇌ 2 ICl(g) K_p = 81.9 at 25 °C Calculate ΔG_rxnfor the reaction at 25 °C under each of the following conditions: c. P_ICl = 2.55 atm; P_I2 = 0.325 atm; P_Cl2 = 0.221 atm

2861

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