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  • Rate constant of a first order reaction is <img alt="\mathrm{0.25 \, \mathrm{hr}^{-1}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B0.25%20%5C%2C%20%5Cmathrm%7Bhr%7D%5E%7B-1%7D

Rate constant of a first order reaction is \mathrm{0.25 \, \mathrm{hr}^{-1}}. The initial concention of R in \mathrm{R \rightarrow P} reaction is \mathrm{0.12 \mathrm{M}.} The conc. of R left after 16 hr is?

Option: 1

\mathrm{0.0075 \, M}


Option: 2

\mathrm{0.03 \, M}


Option: 3

\mathrm{0.06 \, M}


Option: 4

\mathrm{2.2 \times 10^{-3} \mathrm{M}}


Answers (1)

best_answer

\because  For first order \mathrm{r x^n,}
 

\mathrm{ \begin{aligned} & k=\frac{1}{t} \ln \frac{\left[R_0\right]}{[R]} \\\\ & 0.25=\frac{1}{16} \ln \frac{0.12}{[R]} \\\\ & \frac{0.12}{[R]}=e^4 \\\\ & {[R]=\frac{0.12}{54.6}=2.2 \times 10^{-3} \mathrm{M}} \end{aligned} }

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