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Q. If the enthalpy and entropy change for the reaction
$A _{2}( g )+ B _{2}( g ) \rightleftharpoons 2 AB ( g )$ are $75\, kJ\, mol ^{-1}$
and $250\, JK ^{-1}\, mol ^{-1}$ respectively. The temperature at which the reaction will be at equilibrium is

Solution:

$\Delta G=\Delta H-T \Delta S$
$\therefore $ At equilibrium, $\Delta G=0$
$\therefore \Delta H=T \Delta S $
$T=\frac{\Delta H}{\Delta S}=\frac{75000}{250}$
$=300\, K$