Substance $\mathrm{A}_{2} \mathrm{~B}(\mathrm{~g})$ can undergoes decomposition to form two set of products : $A_{2} B(g) \longrightarrow \quad \begin{array}{l}\longrightarrow A_{2}(g)+B(g) ; \Delta H^{\circ}=40 \mathrm{~kJ} / \mathrm{mol} \ \longrightarrow A(g)+A B(g) ; \Delta H^{\circ}=50…

Question

Substance $\mathrm{A}_{2} \mathrm{~B}(\mathrm{~g})$ can undergoes decomposition to form two set of products :
$A_{2} B(g) \longrightarrow \quad \begin{array}{l}\longrightarrow A_{2}(g)+B(g) ; \Delta H^{\circ}=40 \mathrm{~kJ} / \mathrm{mol} \\ \longrightarrow A(g)+A B(g) ; \Delta H^{\circ}=50 \mathrm{~kJ} / \mathrm{mol}\end{array}$
If the molar ratio of $\mathrm{A}_{2}(\mathrm{~g})$ to $\mathrm{A}(\mathrm{g})$ is $5: 3$ in a set of product gases, then the energy involved in the decomposition of 1 mole of $\mathrm{A}_{2} \mathrm{~B}(\mathrm{~g})$ is :

Aicharya · Accepted Answer

$\Delta_{\mathrm{r}} \mathrm{H}=\frac{5}{8} 	imes 40+\frac{3}{8} 	imes 50=43.75 \mathrm{~kJ} / \mathrm{mol}$

Substance $\mathrm{A}_{2} \mathrm{~B}(\mathrm{~g})$ can undergoes decomposition to form two set of products…

Solution