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Multiple Choice
Calculate ΔG°rxn at 25°C for the reaction: 2CH4(g) → C2H6(g) + H2(g). Given the following standard Gibbs free energies of formation: ΔG°f(CH4) = -50.8 kJ/mol, ΔG°f(C2H6) = -32.8 kJ/mol, ΔG°f(H2) = 0 kJ/mol.
A
68.8 kJ/mol
B
-18.0 kJ/mol
C
18.0 kJ/mol
D
-68.8 kJ/mol
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1
Identify the formula for calculating the standard Gibbs free energy change (ΔG°rxn) for a reaction: ΔG°rxn = ΣΔG°f(products) - ΣΔG°f(reactants).
List the given standard Gibbs free energies of formation for each compound involved in the reaction: ΔG°f(CH4) = -50.8 kJ/mol, ΔG°f(C2H6) = -32.8 kJ/mol, ΔG°f(H2) = 0 kJ/mol.
Apply the formula to the reaction: 2CH4(g) → C2H6(g) + H2(g). Calculate the sum of the Gibbs free energies of formation for the products: ΔG°f(C2H6) + ΔG°f(H2).
Calculate the sum of the Gibbs free energies of formation for the reactants: 2 * ΔG°f(CH4).
Subtract the sum of the Gibbs free energies of formation of the reactants from the sum of the Gibbs free energies of formation of the products to find ΔG°rxn.