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$S (s) + O_{2} (g) \overset{}{\to} {SO}_{2} (g), ∆ H = - 300 kJ;$
$2 {SO}_{3} (g) \overset{}{\to} 2 {SO}_{2} (g) + O_{2} (g), ∆ H = + 189 kJ;$
From the above data, calculate the heat of formation of SO₃ ( in kJ/mole )

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-205.5

answer is D.

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Detailed Solution

$S (s) + O_{2} (g) \overset{}{\to} {SO}_{2} (g), ∆ H = - 300 kJ; . . . . . . . . (1)$

$2 {SO}_{3} (g) \overset{}{\to} 2 {SO}_{2} (g) + O_{2} (g), ∆ H = + 189 kJ; . . . . . . . . (2)$

${SO}_{3} (g) \overset{}{\to} {SO}_{2} (g) + \frac{1}{2} O_{2} (g), ∆ H = + \frac{189}{2} kJ; . . . . . . . (3)$

Eq (1) - Eq (3)

$S (s) + \frac{3}{2} O_{2} (g) \to {SO}_{3} (g), ∆ H = - (300 + 94.5) kJ;$

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