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C(2)H(6)(g)+3.5)(2)(g)rarr2CO(2)(g)+3H(2...

`C_(2)H_(6)(g)+3.5)_(2)(g)rarr2CO_(2)(g)+3H_(2)O(g)`
`DeltaS_(vap)(H_(2)O,l)=x_(1)calK^(-1)` (boiling point `=T_(1)`)
`DeltaH_(f)(H_(2)O,l)=x_(2)`
`DeltaH_(f)(CO_(2))=x_(3)`
`DeltaH_(f)(C_(2)H_(6))=x_(4)`
Hence, `DeltaH` for the reaction is

A

`2x_(3)+3x_(2)-x_(4)`

B

`2x_(3)+3x_(2)-x_(4)+3x_(1)T_(1)`

C

`2x+3x_(2)-x_(4)+3x_(1)T_(1)`

D

`x_(1)T_(1)+x_(2)+x_(3)-x_(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`H_(2)O(l)rarrH_(2)O(g)DeltaH_(vap)=DeltaS_(vap)T_(B.P.)=x_(1)T_(1)`
`DeltaH_(f)(H_(2)O,g)=DeltaH_(f)(H_(2)O,l)+DeltaH_(vap)=x_(2)+x_(1)T_(1)`
`DeltaH_(reaction)=2DeltaH_(f),(CO_(2),g)+3DeltaH_(f)(H_(2)O,g)-DeltaH_(f)(C_(2)H_(6),g)`
`=2x_(3)+3(x_(2)+x_(1)T_(1))-x_(4)=2x_(3)+3x_(2)+3x_(1)T_(1)-x_(4)`
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