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Using the following thermocchemical eq...

Using the following thermocchemical equations
(i) `S(g)+3//2O_(2)(g)toSO_(3)(g)DeltaH=-2xkJmol^(-1)`
(ii) `SO_(2)(g)+1//2O_(2)(g)toSO_3()(g)DeltaH=-ykJmol^(-1)` Find out the heat of formation of `SO_(2)(g)` in kJ `mol^(-1)`

A

`(2x+y)`

B

`(x+y)`

C

`(2x//y)`

D

`(y-2x)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given
`S(rh)+(3)/(2)O_(2)(g)toSO_(3)(g)`,
`DeltaH=-2xkj " mol"^(-1)` ..(i)
`SO_(2)(g)+(1)/(2)O_(2)(g)toSO_(3)(g)`,
`DeltaH=-ykJ " mol"^(-1)` ..(ii)
`S(s)+O_(2)(g)toSO_(2)(g),DeltaH=`?
Subtract Eq (ii) from Eq (i)
`S(rh)+(3)/(2)O_(2)(g)toSO_(3)(g), DeltaH=-2x kJ "mol" ^(-1)`
`SO_(2)(g)+(1)/(2)O_(2)(g)toSO_(3)(g),DeltaH=-y kJ "mol"^(-1)`
`s(rh)+((3)/(2)-(1)/(2))O_(2)(g)toSO_(2)(g),DeltaH=(-2x +y) kJ "mol"^(-1)`

`S(rh)+O_(2)(g)toSO_(2)(g),DeltaH=(y-2x) kJ "mol "^(-1)`
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