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Q. The reaction $A \longrightarrow C$ proceeds through two paths I and II as shown below :
image
The correct relationship between $\Delta H, \Delta H_{1}$ and $\Delta H_{2}$ will be

Thermodynamics

Solution:

According to Hess's law; the total heat change $(\Delta H)$ accompanying a chemical reaction is the same, whether the reaction takes place in one or more steps or follows one or more paths.
Therefore, the correct relation between $\Delta H$ and $\Delta H_{1}, \Delta H_{2}$ will be
$\Delta H=\Delta H_{1}+\Delta H_{2}$