(Solved): -72. The reaction (CH3)3CBr+OH(CH3)3COH+Br in a certain solvent is first order ...

-72. The reaction ${\left({\mathrm{CH}}_3\right)}_3\mathrm{CBr}+{\mathrm{OH}}^{?}?{\left({\mathrm{CH}}_3\right)}_3\mathrm{COH}+{\mathrm{Br}}^{?}$ in a certain solvent is first order with respect to ${\left({\mathrm{CH}}_3\right)}_3\mathrm{CBr}$ and zero order with respect to ${\mathrm{OH}}^{?}$. In several experiments, the rate constant $k$ was determined at different temperatures. $\mathrm{A}$ plot of $\ln (k)$ versus $1/T$ was constructed resulting in a straight line with a slope value of $?1.10\times 10^4\mathrm{K}$ and $y$-intercept of 33.5. Assume $k$ has units of ${\mathrm{s}}^{?1}$. a. Determine the activation energy for this reaction. b. Determine the value of the frequency factor $A$. c. Calculate the value of $k$ at $25^{?}\mathrm{C}$.