S+3/2O2→SO3+2×K.calSO2+12O2→SO3+yK.calHeat of formation of SO2 is

S+3/2O2→SO3;ΔH1=-2×Kcal SO3→SO2+1/2O2;ΔH2=+yKcalS+O2→SO2; ΔH3=∆H1+∆H2=y-2x

S+3/2O2→SO3+2×K.calSO2+12O2→SO3+yK.calHeat of formation of SO2 is

S+3/2O2→SO3;ΔH1=-2×Kcal SO3→SO2+1/2O2;ΔH2=+yKcalS+O2→SO2; ΔH3=∆H1+∆H2=y-2x

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$\begin{array}{l} S + 3 / 2 O_{2} \to {SO}_{3} + 2 \times K . cal \\ {SO}_{2} + \frac{1}{2} O_{2} \to {SO}_{3} + y K . cal \end{array}$
Heat of formation of ${SO}_{2}$ is

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y - 2x

x + y

2 x/y

2x + y

answer is A.

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Detailed Solution

$\begin{array}{l} \begin{array}{l} S + 3 / 2 O_{2} \to {SO}_{3}; Δ H_{1} = - 2 \times Kcal \\ {SO}_{3} \to {SO}_{2} + 1 / 2 O_{2}; Δ H_{2} = + y Kcal \\ \frac{S + O_{2} \to {SO}_{2}; {ΔH}_{3} = ∆ H_{1} + ∆ H_{2} = y - 2 x}{} \end{array} \end{array}$