Question

For the reaction: $S{O}_{2}C{l}_2(g)\to S{O}_2(g)+C{l}_2(g)$ It is found that a plot of $ln\left[S{O}_{2}C{l}_2\right]$ Versus time is linear, and that in $240s$ , the $\left[S{O}_{2}C{l}_2\right]$ decreases from $0.4M$ to $0.28M$ , If the rate constant is $AX10^{-3}$ in $s^{-1}$ , report the value of A by rounding it off to one decimal and multiplying with 2.

Answer 1

Answer: 3

${\left(SO\right)}_2{\left(Cl\right)}_2(g)\to {\left(SO\right)}_2(g)+{\left(Cl\right)}_2(g)$
$\text{Since the plot of ln}\left[S{O}_{2}C{l}_2\right]Vs\text{ time is linear, the order of the reaction is}1.\text{Now, for a first order reaction,}$
$Kt=2.303log\frac{{\left[S{O}_{2}C{l}_2\right]}_o}{{\left[S{O}_{2}C{l}_2\right]}_t}$
$K\times 240=2.303log\frac{0.4}{0.28}$
$K=\frac{0.35674}{240}=1.484\times 10^{-3}{s}^{-1}$ .