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Question

100mL of a liquid is contained in an insulated container at a pressure of 1 bar. The pressure is steeply increased to 100 bar. The volume of the liquid is decreased by 1mL at this constant pressure. The ΔH and ΔU are:

A
ΔH= 1 bar mL ΔU= 9900 bar mL
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B
ΔH= 100 bar mL ΔU= 990 bar mL
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C
ΔH= 100 bar mL ΔU= 9900 bar mL
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D
ΔH= 1 bar mL ΔU= 9900 bar mL
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Solution

The correct option is C ΔH= 100 bar mL ΔU= 9900 bar mL
ΔU=q+w
For adiabatic process, q=0, hence ΔU=w
ΔU=100(99100)=100(1)=100 bar mL
ΔH=ΔU+Δ(pV)
=ΔU+(p2V2p1V1)
=100+(100x991x100)
=9900 bar mL

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