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Question

Chemistry Question on Gibbs Free Energy

For the reaction taking place at certain temperature NH2COONH4(s)<=>2NH3(g)+CO2(g){NH_2 COONH_4 (s) <=> 2NH_3 (g) + CO_2 (g) }, if equilibrium pressure is 3X bar then ΔG \Delta_G would be

A

- RT ln 9 - 3RT ln X

B

RT ln 4 - 3RT ln X

C

- 3RT ln X

D

None of these

Answer

None of these

Explanation

Solution

NH2COONH42NH3+CO2N H _{2} C O O N H _{ 4 } \rightarrow 2 N H _{3}+ C O _{2}
2X+X=3X2 X+X=3 X
K=2X2×X=4X3K=2 X^{2} \times X=4 X^{3}
Standard gibb's free energy =RT×lnK=-R T \times \ln K
ΔG=RT×ln4X3\Delta G^{\circ}=-R T \times \ln 4 X^{3}
ΔG=3RTln4X\Delta G^{\circ}=-3 R T \ln 4 X