### 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)

## Show Answer

#### Answer (2)

#### Solution

$ A(g) \rightarrow 2 B(g)+C(g) $

$t=0 \quad 0.1$

$t=115$ sec $\quad 0.1-x \quad \quad 2 x\quad\quad x$

$0.1+2 x=0.28$

$2 x=0.18$

$x=0.09$

$K=\frac{1}{115} \ln \frac{0.1 m}{0.1-0.09}$

$=0.0200 sec^{-1}$

$=2 \times 10^{-2} sec^{-1}$