Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
Which of the following represent van?t Hoff equation? (1) \[K=A{{e}^{-{{E}_{a}}/RT}}\] (2) \[K=A{{e}^{-\Delta H/RT}}\] (3) \[d(In\,K)/dT=-\Delta H/R{{T}^{2}}\] (4) \[d(In\,K)/dT=\Delta H/R{{T}^{2}}\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: C
Solution :
\[k=A{{e}^{-\Delta H/RT}}\] Taking logarithm of both sides In \[k=In\,A-\frac{\Delta H}{RT}\] Differentiating w.r.t. T, we get \[\frac{d\,In\,k}{dT}=\frac{\Delta H}{R{{T}^{2}}}\]
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