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  • Ques. 98 The half lite period of a first-order is 10 minutes. The amount of substance l

Ques. 98 The half lite period of a first-order \mathrm{r_{xn}} is 10 minutes. The amount of substance left after 90 minutes will be

Option: 1

\mathrm{\frac{1}{419} \text { of original amount }}


Option: 2

\mathrm{\frac{1}{666} \ of \ original \ amount}


Option: 3

\mathrm{\frac{1}{314} \text { of original amount }}


Option: 4

\mathrm{\frac{1}{512} \text { of original amount }}


Answers (1)

best_answer

for the first order reaction 

\mathrm{A \longrightarrow \text { Product }}

\mathrm{\begin{aligned} & {[A]_t=\left[A_0\right]\left(\frac{1}{2}\right)^{\frac{\Delta t}{t_{1 / 2}}}} \\ & {[A]_t=\left[A_0\right]\left(\frac{1}{2}\right)^{\frac{90}{10}}=\left[A_0\right]\left[\frac{1}{2}\right]^9} \\ & {[A]_t=\frac{\left[A_0\right]}{512}} \end{aligned}}

\mathrm{\frac{1}{512} \text { of the original amount }}

Posted by

Ajit Kumar Dubey

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