Question
If enthalpy of an overall reaction $$X \to Y$$ along one route is $${\Delta _r}H$$ and $${\Delta _r}{H_1},{\Delta _r}{H_2},{\Delta _r}{H_3}\,...$$ representing enthalpies of reactions leading to same product $$Y$$ then $${\Delta _r}H$$ is
A.
$${\Delta _r}H = {\Delta _r}{H_1} + {\Delta _r}{H_2} + {\Delta _r}{H_3}\,...$$
B.
$${\Delta _r}H = {\Delta _r}{H_1} \times {\Delta _r}{H_2} \times {\Delta _r}{H_3}\,...$$
C.
$${\Delta _r}H = {\Delta _r}{H_1} + {\Delta _r}{H_2} - {\Delta _r}{H_3}\,...$$
D.
$${\Delta _r}H = \frac{{{\Delta _r}{H_1} \times {\Delta _r}{H_2} \times {\Delta _r}{H_3}}}{2}\,\,...$$
Answer :
$${\Delta _r}H = {\Delta _r}{H_1} + {\Delta _r}{H_2} + {\Delta _r}{H_3}\,...$$
Solution :
This is in accordance with Hess's law.