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Q. In the reaction : $S + 3/2 O_2 \longrightarrow SO_3 + 2x$ kcal and $SO_2 + 1/2 O_2 \longrightarrow SO_3 + y$ kcal, heat of formation of $SO_2$ is

AIIMSAIIMS 1997

Solution:

$ S +3 / 2 O _{2} \cdots SO _{3}+2 \,x \,kcal $
$SO _{3} \longrightarrow SO _{2}+1 / 2 O _{2} \longrightarrow SO _{3}+y\, k\,cal$
$\therefore $ Heat of formation of $SO _{2}$ in equal to $2 x-y \,k\,cal$