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Q. The reaction $X \rightarrow Y$ is an exothermic reaction. Activation energy of the reaction for $X$ into $Y$ is $150\, kJ mol^{-1}$. Enthalpy of reaction is $135\, kJ\, mol^{-1}$. The activation energy for the reverse reaction, $Y \rightarrow X$ will be:

JEE MainJEE Main 2013Chemical Kinetics

Solution:

$X \rightarrow Y; \Delta H=-135\,kJ/mol,$
$E_{a}=150\,kJ/mol$
For an exothermic reaction
$E_{a\left(F.R.\right)}=\Delta H+E'_{a\left(B.R.\right)}$
$150=-135+E'_{a\left(B.R.\right)}$
$E'_{a\left(B.R.\right)}=258\,kJ/mol,$