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Mechanical Properties Of Fluids

Question
CBSEENPH11019528

By using first law of thermodynamics, find the change in internal energy during boiling of liquids.

Solution

Let the latent heat of vaporisation of a liquid of mass m at its boiling temperature be L. 
Let V be the volume of liquid and Vv be the volume of vapours and let evaporation take place at constant pressure P.

According to the first law of thermodynamics,
space space space space space space space space space space increment straight Q equals increment straight U plus straight P increment straight V space

rightwards double arrow space space space space space space mL equals increment straight U plus straight P left parenthesis straight V subscript straight v minus straight V subscript straight ell right parenthesis space

rightwards double arrow space space space increment straight U equals mL minus straight P left parenthesis straight V subscript straight v minus straight V subscript straight ell right parenthesis space space 
This is the required expression for change in internal energy.