(Solved): For the gas phase decomposition of t-butyl acetate, CH3COOC(CH3)3(CH3)2C=CH2+C ...

For the gas phase decomposition of t-butyl acetate, ${\mathrm{CH}}_3\mathrm{COOC}{\left({\mathrm{CH}}_3\right)}_3?{\left({\mathrm{CH}}_3\right)}_2\mathrm{C}={\mathrm{CH}}_2+{\mathrm{CH}}_3\mathrm{COOH}$ the rate constant in ${\mathrm{s}}^{?1}$ has been determined at several temperatures. When $\ln k$ is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of $?2.04\times 10^4\mathrm{K}$ and a $y$-intercept of 30.7 . The value of the rate constant for the gas phase decomposition of t-butyl acetate at $535\mathrm{K}$ is ${\mathrm{s}}^{?1}$ (Enter your answer to one significant figure.)