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`

`-653.5 KJ`

`-686.2 KJ`

`-747.4 KJ`

None of these

Text Solution

Verified by Experts

The correct Answer is:

`DeltaH^(@) =- 3DeltaH_(1)^(@)DeltaH_(2)^(@) + 2DeltaH_(3)^(@) + 3DeltaH_(4)^(@)`
`=-747.4` KJ
`DeltaH^(@) =DeltaU^(@) + Deltan_(g) RT , "where" Deltan_(g) =- 8`
`747.4 = DeltaU^(@) - (8xx8.314 xx300)/(1000)`
`DeltaU^(@)=-747.44` KJ.

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