12. A system is taken to its final state from
initial state in hypothetical paths as
shown figure calculate the work done in
each case.
P(10 Pa)
е e
B
А
6
PH
21
D
C С
2 V(L) 6
[Ans: AB = 2.4 x 106J, CD=8 x 105 J, BC and
DA zero, because constant volume change]
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Answer:
From the first law of thermodynamics,
Q = U + W
Thus, Q−W=U
Since, internal energy is a state variable and its value depends only on the initial and final states, and not on the path taken,
Thus, Q - W will have the same value irrespective of the path taken
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