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Q. When $4\, g$ of iron is burnt to ferric oxide at constant pressure, $29.28\, kJ$ of heat is evolved. What is the enthalpy of formation of ferric oxide? (At. wt. of $Fe = 56$ )

Thermodynamics

Solution:

Weight of iron burnt $=4 \,g$

Heat liberated $=29.28 \,kJ$

and atomic weight of iron $=56$

In ferric oxide $\left( Fe _{2} O _{3}\right), 2$ moles of iron or $2 \times 56=112 \,g$ of iron are burnt.

Also, when $4 \,g$ of iron are burnt, then heat liberated $=29.28 \,kJ$.

when $112 \,g$ of iron are burnt, then heat liberated

$=-\frac{29.28 \times 112}{4}$

$=-819.8 \,kJ$

Therefore, enthalpy of formation of ferric oxide is $-819.8 \,kJ$.