Chapter 11, Problem 83QAP

The decomposition of sulfuryl chloride, ${\text{SO}}_2{\text{Cl}}_2$, to sulfur dioxide and chlorine gases is a first-order reaction.

${\text{SO}}_2{\text{Cl}}_2\left(g\right)\to {\text{SO}}_2\left(g\right)+{\text{Cl}}_2\left(g\right)$At a certain temperature, the half-life of ${\text{SO}}_2{\text{Cl}}_2$ is $7.5\times {10}^2$ min. Consider a sealed flask with 122.0 g of ${\text{SO}}_2{\text{Cl}}_2$.

(a) How long will it take to reduce the amount of ${\text{SO}}_2{\text{Cl}}_2$ in the sealed flask to 45.0 g?

(b) If the decomposition is stopped after 29.0 h, what volume of Cl₂ at 27°C and 1.00 atm is produced?