Question

The energy of activation of a first order reaction is 104.5 kJ $mol{e}^{-1}$ and pre-exponential factor (A) is $5\times {10}^{13}se{c}^{-1}.$ At what temperature, will be reaction have a half life of 1 minute in kelvin?

Answer 1

k=A.e${}^{\frac{-Ea}{RT}}$ ,

$t_{\frac{1}{2}}=\frac{ln2}{k}=60s$

k=5$\times {10}^{13}$e${}^{\frac{-104.5}{RT}}$

Solving we get , T $\simeq 350K$