If the enthalpies of formation of $Al_2O_3 and Cr_2O_3$ are – 1596 kJ and – 1134 kJ respectively, then the value of OH for the reaction ; $ 2Al + Cr_2O_3 \rightarrow 2Cr + Al_2O_3$ is :
To find the change in enthalpy for the reaction, we use the enthalpies of formation of the reactants and products. The reaction given is: $$2Al + Cr_2O_3 ightarrow 2Cr + Al_2O_3$$ The enthalpy change of the reaction ($ riangle H$) can be calculated using the formula: $$ riangle H = ext{Sum of enthalpies of formation of products} - ext{Sum of enthalpies of formation of reactants}$$ For the given reaction: Products: $Al_2O_3$ with enthalpy of formation = -1596 kJ Reactants: $Cr_2O_3$ with enthalpy of formation = -1134 kJ So, $$ riangle H = [-1596] - [-1134] = -1596 + 1134 = -462 ext{ kJ}$$ Therefore, the correct answer is -462 kJ.