Equilibrium Question 733

Question: For the reaction $ NH_4HS(g)\rightarrow NH_3(g)+H_2S(g) $ in a closed flask, the equilibrium pressure is P atm. The standard free energy of the reaction would be:

Options:

A) $ -RT $ ln p

B) $ -RT $ (ln p - ln 2)

C) $ -2RT $ ln p

D) $ -2RT $ (ln p - ln 2)

Show Answer

Answer:

Correct Answer: D

Solution:

$ {P_{NH_3}}={P_{H_2S}}=\frac{P}{2}atm $

$ K_{p}={P_{NH_3}}{P_{H_2S}}={{( \frac{P}{2} )}^{2}}=\frac{P^{2}}{4} $

$ \Delta G=-RT,ln,K_{p}=-RT,ln,{{( \frac{p}{2} )}^{2}} $

$ =-2RT[ ln,p-ln,2 ] $



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