Question

A hydrogen 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

Answer: (B)

$80kJ/mol$

As we know, $logk=logA-\left(E_a/RT\right)$
here, according to conditions:
$log{k}_1=log{k}_2;logA-\left(E_a/RT\right)=logA-(E_a-16/RT);E_a=80kJ/mole$