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Determine DeltaU^(@) at 300 K for the fo...

Determine `DeltaU^(@)` at 300 K for the following reaction using the listed enthalpies of reaction :
`4CO(g)+8H_(2)(g)rarr3CH_(4)(g)+CO_(2)(g)+2H_(2)O(l)`
`C("graphite")+"1/2 O"_(2)(g)rarrCO(g),DeltaH_(1)^(@)=-110.5kJ`
`CO(g)+"1/2 O"_(2)(g) rarrCO_(2)(g),DeltaH_(2)^(@)=-282.9kJ`
`H_(2)(g)+"1/2 O"_(2)(g)rarrH_(2)O(l),DeltaH_(3)^(@)=-285.8kJ`
`C("graphite")+2H_(2)(g)rarrCH_(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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