Question
Explain the sign convention used for $\Delta H$.

Answer

The change in enthalpy or heat of reaction $\Delta H$ is given by,
$\begin{aligned}
\Delta H & =\left[\begin{array}{c}
\text { Sum of enthalpies } \\
\text { of products }
\end{array}\right]-\left[\begin{array}{c}
\text { Sum of enthalpies } \\
\text { of reactants }
\end{array}\right] \\
& =\Sigma H_{\text {products }}=\Sigma H_{\text {reactants }} \text {}
\end{aligned}$

(i) If the sum of enthalpies of products, $\Sigma H$ and reactants, $\Sigma_R H$ are equal then $\Delta H$ for the reaction is
$\begin{aligned}
& \text { zero, }(\Delta H=0) \text {. } \\
& \text { i. e. } \Sigma_p H=\Sigma_R H \\
& \therefore \Delta H=\Sigma_p H-\Sigma_R H=0
\end{aligned}$

(ii) If the sum of enthalpies of products $\Sigma_{ P } H$ is greater than the sum of enthalpies of reactants $\Sigma_{ R } H$, then $\Delta H$ is positive, $(\Delta H>0)$. Since such reactions take place with the absorption of heat from surroundings, they are called endothermic reactions.
$\begin{aligned}
& \therefore \Sigma H_{\text {products }}>\Sigma H _{\text {reactants }} \\
& \therefore \Delta H>0
\end{aligned}$

(iii) If the sum of enthalpies of products $\Sigma_P H$ is less than the sum of enthalpies of reactants, $\Sigma_R H$ then $\Delta H$ is negative, $(\Delta H<0)$. Since in such reactions heat is given out to the surroundings, they are called exothermic reactions.
$\begin{aligned}
& \therefore \Sigma_P H<\Sigma_R H \\
& \therefore \Delta H<0
\end{aligned}$

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