A) \[5.5\times 1{{0}^{-10}}{{s}^{-\,1}}\]
B) \[5.5\times 1{{0}^{-14}}{{s}^{-\,1}}\]
C) \[6.6\times 1{{0}^{-14}}{{s}^{-\,1}}\]
D) None of these
Correct Answer: B
Solution :
Given Half-life time of a first order reaction \[=\,\,1.26\times {{10}^{14}}\,s\] To find The rate constant of this reaction. Solution \[K\,=\,\,\frac{0.693}{{{t}_{1/2}}}\]where, \[\operatorname{K}=rate\,\,constant,\,\,{{t}_{1/2}}=half-lifetime\] \[{{t}_{1/2}}=\frac{0.693}{1.26\times {{10}^{14}}}\] \[=\,\,\,5.5\times {{10}^{-\,14}}{{s}^{-\,1}}\]
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