Chemistry

Problem

A student measures the rate constant

k

for an elementary reaction to be

1.5\times10^{-3}\,\text{s}^{-1}

at 300 K and

6.0\times10^{-3}\,\text{s}^{-1}

at 320 K. Using these two data points, calculate the activation energy

E_a

of the reaction in

\text{kJ mol}^{-1}

. (Use

R = 8.314\;\text{J mol}^{-1}\text{K}^{-1}