A) X if T= 315 K
B) Y if T= 280 K
C) X if T= 350 K
D) Y if T= 300 K
Correct Answer: A
Solution :
\[{{\Delta }_{r}}{{G}^{o}}={{\Delta }_{r}}{{H}^{o}}-T\Delta {{S}^{o}}\] At equilibrium,\[\Delta {{G}^{o}}=0\] \[{{\Delta }_{r}}{{H}^{o}}=T\Delta {{S}^{o}}\] So,\[T=\frac{{{\Delta }_{r}}{{H}^{o}}}{\Delta {{S}^{o}}}=\frac{120}{3}\times 8\] \[\therefore \]\[T=320K\] Thus, if temperature is less than 320 K reaction will be non-spontaneous means X will be the major component while if temperature is more than \[\Delta G=-ve\]and reaction will be spontaneous and Y will be the major component.
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