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Q. The heats of combustion of carbon and carbon monoxide are $-393.5$ and $-283.5 \, kJ \, mol^{-1}$, respectively. The heat of formation (in $kJ$) of carbon monoxide per mole is :

JEE MainJEE Main 2016Thermodynamics

Solution:

$ C _{( g )}+ O _{2( g )} \longrightarrow CO _{2( g )} \,\,\,\,\,\,\,\, \Delta H _{1}=-393.5\, kJ /\, mol $

$CO _{( g )}+\frac{1}{2} O _{2( g )} \longrightarrow CO _{2}( g ) \,\,\,\,\,\,\,\, \Delta H _{2}=-283.5\, kJ /\, mol $

$C _{( g )}+\frac{1}{2} O _{2( g )} \longrightarrow CO _{( g )} \,\,\,\,\,\,\,\,\Delta H =\Delta H _{1}-\Delta H _{2}=-110 \,kJ\, / mol $