An ideal gas goes from state A to state B via three different processes as indicated in the P - V diagram:
If Q1, Q2, Q3 indicate the heat absorbed by the gas along the three processes and U1, U2, U3 indicate the change in internal energy along the three processes respectively, then:
Q3 > Q2 > Q1 and U1 = U2 = U3
Q1 = Q2 = Q3 and U1 > U2 > U3
Q3 > Q2 > Q1 and U1 > U2 > U3
Q1 > Q2 > Q3 and U1 = U2 = U3
As we learnt in
Property of internal energy -
U (internal energy) is a state function.
- wherein
i.e. It depends only on initial and final state.
Since change in internal energy is a state function hence
work done is
Since
Correct option is 3.
Option 1)
Q3 > Q2 > Q1 and U1 = U2 = U3
This is incorrect option
Option 2)
Q1 = Q2 = Q3 and U1 > U2 > U3
This is incorrect option
Option 3)
Q3 > Q2 > Q1 and U1 > U2 > U3
This is incorrect option
Option 4)
Q1 > Q2 > Q3 and U1 = U2 = U3
This is correct option