$1.$ The first$-$order gas reaction SO$2$Cl$2->$ SO$2+$ Cl$2$ has k$1=2\mathrm{.}20$X$10^-5$

s$-1$ at $593$ K$.$ What percent of a sample of SO$2$Cl$2$ would be decomposed by heating at $593$ K for $1$ hour? For $3$ hours? How long will it take for half the SO$2$Cl$2$ to decompose?