Using the equation:

$\overline{){\mathbf{\u2206}}{\mathbf{G}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{\u2206}}{\mathbf{G}}{\mathbf{\xb0}}{\mathbf{}}{\mathbf{+}}{\mathbf{\hspace{0.17em}}}{\mathbf{RTlnQ}}}\phantom{\rule{0ex}{0ex}}\mathbf{Q}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{products}}{\mathbf{reactants}}$

Calculate for Q, where if Q is negative, products is favored hence ΔG is negative

a. P_{A} = 10.0 atm; P_{B} = 10.0 atm

$\mathbf{Q}\mathbf{}\mathbf{=}\mathbf{}\frac{{\mathbf{P}}_{\mathbf{B}}}{{\mathbf{P}}_{\mathbf{A}}}\mathbf{=}\frac{\mathbf{10}}{\mathbf{10}}\mathbf{=}\mathbf{1}\phantom{\rule{0ex}{0ex}}\mathbf{ln}\mathbf{}\mathbf{\left(}\mathbf{Q}\mathbf{\right)}\mathbf{\hspace{0.17em}}\mathbf{=}\mathbf{}\mathbf{ln}\mathbf{}\mathbf{\left(}\mathbf{1}\mathbf{\right)}\mathbf{\hspace{0.17em}}\mathbf{=}\mathbf{}\mathbf{0}$

b) P_{A} = 10.0 atm; P_{B} = 0.010 atm

Under which set of conditions is ΔG_{rxn} for the reaction A(g) → B(g) most likely to be negative?

a) P_{A} = 10.0 atm; P_{B} = 10.0 atm

b) P_{A} = 10.0 atm; P_{B} = 0.010 atm

c) P_{A} = 0.010 atm; P_{B} = 10.0 atm

d) P_{A} = 0.010 atm; P_{B} = 0.010 atm

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