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Question

A vessel contains 100 litres of a liquid x. Heat is supplied to the liquid in such a fashion that, Heat given = change in enthalpy. The volume of the liquid increases by 2 litres. If the external pressure is one atm, and 202.6 Joules of heat were supplied then, [ U - total internal energy ]


A

ΔU = 0,ΔH = 0

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B

ΔU = + 202.6J,ΔH = + 202.6 J

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C

ΔU = 202.6J,ΔH = 202.6 J

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D

ΔU = 0,ΔH = + 202.6 J

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Solution

The correct option is D

ΔU = 0,ΔH = + 202.6 J


ΔH = heat gives so process is isobaric.

w = Pnext (ΔV) = 1 × 2 litre.atm = 202.6 J -as one litre.atm=101.33 joules

Hence q = 202.6 J = ΔH and ΔE = q + w = 0


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