Question

A catalyst lower the energy of activation by $25\%$. The temperature at which rate of uncatalysed reaction would be equal to that of the catalyzed one at ${27}^{o}C$ is:

• A. ${400}^{o}C$
• B. ${127}^{o}C$
• C. ${300}^{o}C$
• D. ${227}^{o}C$

Answer 1

Answer: (B)

${127}^{o}C$

$\frac{E_{a\left(1\right)}}{E_{a\left(2\right)}}$ = $\frac{T_1}{T_2}$

$\frac{4}{3}$ = $\frac{T_1}{300}$

$T_1=400K$

$T_1={127}^{o}C$