The heat of formation of SO2(g) is given by: [2025]

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Solution

Q.
$S(g) + \frac{3}{2} O_{2} (g) ⟶ {SO}_{3} (g) + 2 x kcal$

${SO}_{2} (g) + \frac{1}{2} O_{2} (g) ⟶ {SO}_{3} (g) + y kcal$

The heat of formation of $S O_{2}$ (g) is given by: [2025]

1 $2 x + y$ $kcal$

2 $x + y$ $kcal$

3 $y - 2 x$ $kcal$

4 $\frac{2 x}{y}$ $kcal$

Ans.
(3)

$S(g) + \frac{3}{2} O_{2} (g) \to {SO}_{3} (g) + 2 x - I$

${SO}_{2} (g) + \frac{1}{2} O_{2} (g) \to {SO}_{3} (g) + y - II$

$I - II$ gives

$S(g) + O_{2} (g) \to {SO}_{2} (g) + 2 x - y$

So, $Δ H_{f} ° ({SO}_{2}) = y - 2 x$

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