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$S (s) + O_{2} (g) \overset{}{\to} {SO}_{2} (g) + x kJ;$
$2 {SO}_{3} (g) \overset{}{\to} 2 {SO}_{2} (g) + O_{2} (g) - y kJ;$
From the above data, calculate the heat of formation of ${SO}_{3} (in kJ / mole)$

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$- (x + \frac{y}{2})$

$(x + \frac{y}{2})$

$(\frac{y}{2} - x)$

$(\frac{x}{2} - y)$

answer is D.

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Detailed Solution

$S (s) + O_{2} (g) \overset{}{\to} {SO}_{2} (g), ∆ H = - x kJ; . . . . . . . . (1)$

$2 {SO}_{3} (g) \overset{}{\to} 2 {SO}_{2} (g) + O_{2} (g), ∆ H = + y kJ; . . . . . . . . (2)$

${SO}_{3} (g) \overset{}{\to} {SO}_{2} (g) + \frac{1}{2} O_{2} (g), ∆ H = + \frac{y}{2} kJ; . . . . . . . (3)$

Eq (1) - Eq (3)

$S (s) + \frac{3}{2} O_{2} (g) \to {SO}_{3} (g), ∆ H = - (x + \frac{y}{2})$

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