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The heat of combustion of hydrocarbon C(...

The heat of combustion of hydrocarbon `C_(x)H_(y)` is ''a'' calories and heat of formation of `CO_(2) and H_(2)O` are ''b'' and 'c' calories respectively then the heat of formation of hydrocarbon `C_(8)H` is (in calories)

A

`xa + yc -b`

B

`xb + yc -a`

C

`b + xc - xa`

D

`xb + (y)/(2) c-a`

Text Solution

Verified by Experts

The correct Answer is:
D
`C_(x) H_(y) + (x + (y)/(4)) O_(2) rarr xCO_(2) + (y)/(2) H_(2)O`
`Delta H_("comb") = x Delta H_(f_(CO_(2))) + (y)/(2) Delta H_(f_(H_(2)O)) - Delta H_(f_(C_(x)H_(y)))`
`a= xb + (y)/(2) C- Delta H_(f_(C_(x)H_(y)))`
`Delta H_(f_(C_(x)H_(y))) = xb + (yc)/(2) - a`
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