A) 0.383mm
B) 23.1mm
C) 8.73mm
D) 7.53mm
Correct Answer: B
Solution :
For the first order reaction Rate\[\left( \frac{dx}{dt} \right)=k[A]\] \[[A]\to \]concentration of reactant \[k\to \]rate constant Given that \[\frac{dx}{dt}=1.5\times {{10}^{-2}}\,mol\,\,{{L}^{-1}}\] \[k=?\]and\[[A]=0.5\,M\] \[\therefore \] \[1.5\times {{10}^{-2}}=k\times 0.5\] \[\therefore \] \[k=\frac{1.5\times {{10}^{-2}}}{0.5}=3\times {{10}^{-2}}{{\min }^{-1}}\] For first order reaction Half-life period \[{{t}_{1/2}}=\frac{0.693}{k}=\frac{0.693}{3\times {{10}^{-2}}}\] \[=23.1\,\,\min \]You need to login to perform this action.
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