Problem: Determine the value of the equilibrium constant, Kgoal, for the reaction:C(s) + 1/2 O2(g) + H2(g) ⇌ 1/2 CH3OH(g) + 1/2 CO(g), Kgoal=? by making use of the following information:1. CO2(g) + 3 H2(g) ⇌ CH3OH(g) + H2O(g), K1 = 1.40 × 1022. CO(g) + H2O(g) ⇌ CO2(g) + H2(g), K2 = 1.00 × 1053. 2 C(s) + O2(g) ⇌ 2 CO(g), K3 = 2.10 × 1047Express your answer numerically.

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Problem Details

Determine the value of the equilibrium constant, Kgoal, for the reaction:

C(s) + 1/2 O2(g) + H2(g) ⇌ 1/2 CH3OH(g) + 1/2 CO(g), Kgoal=? 

by making use of the following information:

1. CO2(g) + 3 H2(g) ⇌ CH3OH(g) + H2O(g), K1 = 1.40 × 102

2. CO(g) + H2O(g) ⇌ CO2(g) + H2(g), K2 = 1.00 × 105

3. 2 C(s) + O2(g) ⇌ 2 CO(g), K3 = 2.10 × 1047

Express your answer numerically.

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Based on our data, we think this problem is relevant for Professor Brock's class at University of Western Ontario.