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Determine Delta U^(@) at 300K for the f...

Determine `Delta U^(@) ` at 300K for the following reaction using the listed enthalpies of reaction :
`4CO(g)+8H_(2)(g)to3CH_(4)(g)+CO_(2)(g)+2H_(2)O(l)`
`C("graphite")+(1)/(2)O_(2)(g)to CO(g), DeltaH_(1)^(@)=-110.5KJ`
` CO(g)(1)/(2)O_(2)(g)toCO_(2)(g), DeltaH_(2)^(@)=-282.9KJ`
`H_(2)(g)+(1)/(2)O_(2)(g)to H_(2)O(l), DeltaH_(3)^(@)=-285.8KJ`
`C("graphite")+2H_(2)(g)to CH_(4)(g), DeltaH_(4)^(@)=-74.8KJ`

A

`-653.3` kJ

B

`-686.2` kJ

C

`-747.4` kJ

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaH^(@) = -3DeltaH_(1)^(@) +DeltaH_(2)^(@) + 2DeltaH_(3)^(@) + 3DeltaH_(4)^(@) = -747.4` kJ
`DeltaH^(@) = DeltaH^(@) + Deltan_(g) RT`, where `Deltan_(g) = -8`
`=747.4 = DeltaU^(@) - (8 xx 8.314 xx 300)/1000`
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