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For the reaction NH4HS(g) ⇌ NH3(g) + H2S(g) in a closed flask, the equilibrium pressure is P atm. The standard free energy of the reaction would be

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For the reaction

NH4HS(g) ⇌ NH3(g) + H2S(g) in a closed flask, the equilibrium pressure is P atm. The standard free energy of the reaction would be

(a) -RT ln p

(b) -RT (ln p - ln 2)

(c) -2 RT ln p

(d) -2 RT (ln p - ln 2)

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Answer is (d) -2 RT (ln p - ln 2)

Explanation:

PNH3 = PH2S

= \(\frac{P}{2}\)atm

KP = PNH3PH2S

= \(\Big(\frac{P}{2}\Big)^2\)

= \(\frac{P^2}{4}\)

ΔG = -RTlnKp 

= -RT ln\((\frac{P}{2})^2\)

= -2 RT (ln p - ln 2)

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