Question

A hydrogenation reaction is carried out at $500K$. If the same reaction is carried out in the presence of a catalyst at the same rate with same frequency factor, the temperature required is $400K$. What is the activation energy of the reaction, if the catalyst lowers the activation energy barrier by $16kJ/mol$?

• A. $100kJ/mol$
• B. $80kJ/mol$
• C. $60kJ/mol$
• D. None of these

Answer 1

The correct option is B $80kJ/mol$

$k=A{e}^{-\frac{Ea}{RT}}$
$A{e}^{-\frac{Ea}{R{T}_1}}=A{e}^{-\frac{Ea-x}{R{T}_2}}$
$\frac{Ea}{500}=\frac{(Ea-16)}{400}$
$\Rightarrow Ea=80kJ/mol$