The temperature coefficient of a reaction is 2.5. If its rate constant at ${\mathrm{T}}_1 \mathrm{K}$ is $2.5\times {10}^{-3}{ \mathrm{s}}^{-1}$, the rate constant at ${\mathrm{T}}_2 \mathrm{K}$ in ${\mathrm{s}}^{-1}$ is $\left({\mathrm{T}}_2>{\mathrm{T}}_1\right)$