A) \[\frac{1}{0.93}\]
B) \[2\times 0.693\]
C) 0.693
D) \[\frac{2}{0.693}\]
E) 6.93
Correct Answer: B
Solution :
\[{{t}_{1/2}}\]for zero order reaction \[=\frac{{{[A]}_{0}}}{2k}\] \[{{t}_{1/2}}\]for first order reaction \[=\frac{0.693}{k}\] Rate of zero order reaction, \[{{r}_{0}}=k\frac{{{[A]}_{0}}}{2.{{t}_{1/2}}}\] Rate of first order reaction, \[{{r}_{1}}=k({{A}_{0}})=\frac{0.693}{{{t}_{1/2}}}{{[A]}_{0}}\] \[\Rightarrow \] \[\frac{{{r}_{1}}}{{{r}_{0}}}=\frac{0.693{{[A]}_{0}}}{{{t}_{1/2}}}\times \frac{2\times {{t}_{1/2}}}{{{[A]}_{0}}}\] \[=2\times 0.693\]
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