A) \[50{}^\circ C\]
B) \[250{}^\circ C\]
C) \[100K\]
D) \[27{}^\circ C\]
E) \[500K\]
Correct Answer: D
Solution :
For the homogeneous reaction \[xA+yB\rightleftharpoons lY+mZ\] \[\Delta H{}^\circ =-\,30\,kJ\,\text{mo}{{\text{l}}^{-1}},\]\[\Delta S=-\,100\,J\,\text{mo}{{\text{l}}^{-1}}{{K}^{-1}}\] By using \[\Delta G=\Delta H-T\cdot \Delta S\] At equilibrium: \[\Delta G=0\] \[\therefore \] \[\Delta H=T\cdot \Delta S\] \[T=\frac{\Delta H}{\Delta S}=\frac{-30\times {{10}^{3}}J\,mo{{l}^{-1}}}{-100\,J\,mo{{l}^{-1}}\,{{K}^{-1}}}\] \[T=300\,K\] \[=300-273=27{}^\circ C\]You need to login to perform this action.
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