Question

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

• A. $340K$
• B. $700K$
• C. $175.5K$
• D. None of these

Answer 1

The correct option is A $340K$

As we know, $k=A{e}^{-E_a/RT}$

and $k=\frac{0.693}{t_{1/2}}$

So, $\frac{0.693}{t_{1/2}}=A{e}^{-E_a/RT}$

Substituting, $\frac{0.693}{60}=5\times {10}^{13}{e}^{-104.5/RT}$

$T=350K$