The temperature coefficient of a reaction is 2.5. If its rate constant at T₁K is 2.5 × 10^–3s^–1, the rate constant at T₂K in s^–1 is (T₂ = 10 + T₁) 

The temperature coefficient is the number of times the rate constant increases when the temperature is increased by 10^oC.

$$\begin{gathered} \frac{{\mathrm{k}}_{{\mathrm{T}}_2}}{{\mathrm{k}}_{{\mathrm{T}}_1}}=2.5 \\ {\mathrm{k}}_{{\mathrm{T}}_2}=2.5\times 2.5\times {10}^{-3}=6.25\times {10}^{-3} \end{gathered}$$