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Question

NH2COONH4(s)2NH3(g)+CO2(g).
If the equilibrium pressure is 3x bar at temperature 'T' where 'x' is the degree of dissociation, then ΔrG would be:

A
RT ln 93RT ln X
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B
RT ln 43RT ln x
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C
3RT ln x
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D
None of these
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Solution

The correct option is D None of these
Moles of ammonia and carbon dioxide at equilibrium would be 2x, x respectively, total moles being 3x. The partial pressure of these would be:2x3x×3x, x3x×3x i.e. 2x,xΔG=RT In Kp;Kp=p2NH3×pCO2Kp=(2x)2x=4x3
ΔG=RT ln(4x3)
ΔG=RT ln 43RT ln x

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