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Question

Which of the following is not a state function?
  1. Work done in isothermal process
  2. Heat at constant pressure
  3. Work-done in adiabatic process
  4. Heat at constant volume

A
Work done in isothermal process
B
Heat at constant pressure
C
Heat at constant volume
D
Work-done in adiabatic process
Solution
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Work done in adiabatic process = negative of change in internal energy (from first law of thermodynamics). So it is a state function.
For heat at constant pressure,
dQ=nCpΔT
This is path independent.
For work done in isothermal process,
dQ=dW. This is path dependent and hence not a state function.
Heat at constant volume is equal to change in internal energy (from first law of thermodynamics). So it is also a state function.

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