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Half life for the zero order reaction \mathrm{PCl}_5(g) \rightarrow Cl(g) +\mathrm{Cl}_2(\mathrm{~g})and half life for the first order reaction \mathrm{R(g) \rightarrow P(g)+Q(g)} are equal. If completion time for the zero order reaction is 12 min, then calculate the rate constant \mathrm{(in \ hr^{-1} )} for the reaction \mathrm{R(g) \rightarrow P(g)+Q(g)} ?

Option: 1

6.93


Option: 2

12.86


Option: 3

6


Option: 4

12


Answers (1)

best_answer

\mathrm{\text { For zeroth order, } 2\left(t_{1 / 2}\right)_0=\tau_{\text {complete }}}

\mathrm{\left(t_{1 / 2}\right)_0=6 \mathrm{~min}=\frac{6}{60} \mathrm{hr}}

\mathrm{\text { For First order, }\left(t_{1 / 2}\right)_1=\frac{0.693}{k}}

\mathrm{\begin{aligned} \because\left(t_{1 / 2}\right)_1 & =\left(t_{1 / 2}\right)_0 \\ \frac{0.693}{k} & =\frac{6}{60} h_r \\ k & =6.93 \mathrm{hr}^{-1} \end{aligned}}

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Rishi

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