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  •  At , the half life for the decomposition of <img alt="\math

 At 30^{\circ} \mathrm{C}, the half life for the decomposition of \mathrm{P Q_2} is 250 \mathrm{~s} and is independent of the initial concentration of \mathrm{A B_2}. The time require for 75% of the \mathrm{A B_2} to decompose is

Option: 1

228


Option: 2

495


Option: 3

314


Option: 4

216


Answers (1)

Since half lite is independent of initial concentration of reaction, its a first order reaction
\mathrm{\begin{aligned} k & =\frac{\ln 2}{t \frac{1}{2}} \\ k t & =2.303 \log \frac{A_0}{A} \end{aligned} }
\mathrm{\begin{aligned} \frac{2.303 \log 2 }{250} & \times t =2.303 \log \frac{100}{25} \\ t & =495 \end{aligned} }

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Sumit Saini

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