Chemical Kinetics Question 2
Question 2 - 2024 (01 Feb Shift 2)
The following data were obtained during the first order thermal decomposition of a gas A at constant volume:
$A(g) \rightarrow 2 B(g)+C(g)$
| S.No | Time/s | Total pressure/(atm) |
|---|---|---|
| 1. | $\quad 0$ | 0.1 |
| 2. | $\quad 115$ | 0.28 |
The rate constant of the reaction is ___________ $\times 10^{-2} s^{-1}$ (nearest integer)
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Answer (2)
Solution
$ A(g) \rightarrow 2 B(g)+C(g) $
$t=0 \quad 0.1$
$t=115$ sec $\quad 0.1-x \quad \quad 2 x\quad\quad x$
$0.1+2 x=0.28$
$2 x=0.18$
$x=0.09$
$K=\frac{1}{115} \ln \frac{0.1 m}{0.1-0.09}$
$=0.0200 sec^{-1}$
$=2 \times 10^{-2} sec^{-1}$
