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Question

In the reaction CS2(l)+3O2(g)CO2(g)+2SO2(g)ΔH=265kcal. The enthalpies of formation of CO2 and SO2 are both negative and are in the ratio 4 : 3. The enthalpy of formation of CS2 is + 26 kcal/mol. Calculate the enthalpy of formation of SO2.

A
-90 kcal/mol
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B
-52 kcal/mol
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C
-78 kcal/mol
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D
-71.7 kcal/mol
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Solution

The correct option is D -71.7 kcal/mol
C+O2CO2 ,ΔH=4x
S+O2SO2 ,ΔH=2×3x
C+2SCS2 ,ΔH=26kcal/mol
CS2+3O2CO2+2SO2 ,ΔH=265kcal
265=4x6x(+26)x=(265+26)/10=23.9
Enthalpy of SO2=3×23.9=71.7kcal/mol

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