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Prove that ΔH=ΔU+ΔnRT. what is the condition under which ΔU=ΔH? - Chemistry

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प्रश्न

Prove that ΔH=ΔU+ΔnRT. what is the condition under which ΔU=ΔH?

उत्तर

∵ΔH=ΔU+PΔV

 ΔH=ΔU+P(V2-V1)

 ΔH=ΔU+PV2-PV1

 But PV1 = n1RT

 PV2 = n2RT

∴ΔH= ΔU+ n1RT - n2RT

 ΔH= ΔU+RT(n1-n2)

∴ΔH= ΔU+ΔnRT

Condition
i) When reaction is carried out in a closed vessel, so that volume remain constant ΔV=0
ii) When reaction involves only solids or liquids or solutions but no gaseous reactant or product.
iii) When reaction involves gaseous reactants and product but their number of mole are equal.

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2012-2013 (March)

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