In the reaction |
\[S(s)+\frac{3}{2}{{O}_{2}}(g)\xrightarrow{{}}S{{O}_{3}}(g)+2x\,kcal\] |
and \[S{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}S{{O}_{3}}(s)+y\,kcal\] the heat of formation of \[S{{O}_{2}}\] is: [AIPMT 1999] |
A) \[(x+y)\]
B) \[(x-y)\]
C) \[(2x+y)\]
D) \[(2x-y)\]
Correct Answer: D
Solution :
(i) \[S(s)+\frac{3}{2}{{O}_{2}}(g)\rightleftharpoons S{{O}_{3}}(g)+2x\,kcal\] |
(ii) By inverse second equation |
\[S{{O}_{3}}(s)\rightleftharpoons \,S{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)-y\,kcal\] |
on addition |
\[S(s)+{{O}_{2}}(g)\rightleftharpoons S{{O}_{2}}(g)+(2x-y)\,kcal\] |
Hence, heat of formation of \[S{{O}_{2}}\,is\,(2x-y)\,kcal\] |
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