Consider the following reaction: nSO$2$Cl$2($gas$)->$ n SO$2($gas$)+$ nCl$2($gas$).$ The reaction is initiated, and the following data are obtained: Time $($h$)$ Pressure of SO$2$Cl$2($kPa$)$

$011\mathrm{.}07$

$37\mathrm{.}35$

$64\mathrm{.}88$

$93\mathrm{.}24$

$122\mathrm{.}15$

$151\mathrm{.}43.....$ a$)$ Is the reaction first$-$ or second$-$order $($n$)$ with respect to SO$2$Cl$2?$

b$)$ What is the reaction rate constant?

c$)$ What is the half$-$lifetime of S$02$Cl$2?$