A) \[6.36\times {{10}^{3}}{{s}^{-1}}\]
B) \[6.36\times {{10}^{-3}}{{s}^{-1}}\]
C) \[6.36\times {{10}^{3}}s\]
D) \[6.36\times {{10}^{-3}}s\]
Correct Answer: B
Solution :
\[{{E}_{a}}=209\,kJ\,mo{{l}^{-1}}=209\times {{10}^{3}}J\,mo{{l}^{-1}}\] \[{{k}_{1}}=1.60\times {{10}^{-5}}{{s}^{-1}},{{T}_{1}}=600K\] \[{{k}_{2}}=?\] \[{{T}_{2}}=700\,K\] Substituting the values \[\log \frac{{{k}_{2}}}{1.60\times {{10}^{-5}}}=\frac{209\times {{10}^{3}}}{2.303\times 8.314}\left[ \frac{700-600}{700\times 600} \right]\] \[\log \frac{{{k}_{2}}}{1.60\times {{10}^{-5}}}=2.599\] \[\frac{{{k}_{2}}}{1.60\times {{10}^{-5}}}=397.19\] \[\therefore \] \[{{k}_{2}}=379.19\times 1.60\times {{10}^{-5}}\] \[=6.36\times {{10}^{-3}}{{s}^{-1}}\]You need to login to perform this action.
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