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The following reaction are given : CH(...

The following reaction are given :
`CH_(4(g))+2O_(2(g))toCO_(2(g))+2H_(2)O(g),DeltaH=-x`
`C_((s))+O_(2(g))toCO_(2(g)),2H_(2(g)),DeltaH=-y`
`H_(2(g))+(1)/(2)O_(2(g))toH_(2)O_((g)),2H_(2(g)),DeltaH=-z`
calculate the heat of formation of `CH_(4)`?

A

x+y+z

B

y+2z-x

C

x-y-2z

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
C
`C(s)+2H_(2)(g)toCH_(4)(g),DeltaH_(f)(CH_(4))
DeltaH_(f)(CH_(4))=(2)+2xx(3),-(1)`
`=-y+2(-2)-(-x)`
`rArrx-y-2z`
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