Question

The following data were obtained during the first order thermal decomposition of $S{O}_{2}C{l}_2$ at constant volume
$S{O}_{2}C{l}_{2\left(g\right)}\to S{O}_{2\left(g\right)}+C{l}_{2\left(g\right)}$

Expt	Time / $S^{-1}$	Total pressure/ atm
1	0	0.5
2	100	0.6

when the total pressure is 0.65 atm then the rate constant of reaction is ..............
if a = pi, and a - x = 2pi - Pt

• A. 2.0 x ${10}^{-3}{S}^{-1}$
• B. 2.12 x ${10}^{-3}{S}^{-1}$
• C. 2.23 x ${10}^{-3}{S}^{-1}$
• D. 2.34 x ${10}^{-3}{S}^{-1}$

Answer 1

The correct option is C 2.23 x ${10}^{-3}{S}^{-1}$

First order thermal decomposition $S{O}_{2}C{l}_2\left(g\right)\to S{O}_2\left(g\right)+C{l}_2\left(g\right)$

$\begin{array}{cccc}att=0& P_0& 0& 0\\ att=100& P_0-P& P& P\end{array}$

$P_0=0.5atm$

$P_0+P=0.6$

$P=0.6-0.5=0.1$

$k=\frac{1}{t}ln\frac{P_0}{P_0-P}$

$k=\frac{1}{100}ln\frac{0.5}{0.4}$

$k=\frac{1}{100}ln1.25$

$=0.223\times {10}^{-2}=2.23\times {10}^{-3}$

option C is correct option