MCQ
Using the given P-V diagram, the work done by an ideal gas along the path ABCD is -
- A$4 P_0 V_0$
- B$3 P _0 V_0$
- C$-4 P_0 V_0$
- ✓$-3 P _0 V_0$
Using the given P-V diagram, the work done by an ideal gas along the path ABCD is -
✓
Answer
Correct option: D.
$-3 P _0 V_0$
(D)
$\begin{array}{l} w _{ ABCD }= w _{ AB }+ w _{ BC }+ w _{ CD } \\ = P _0 V_0+0+\left(-2 P _0 \times 2 V_0\right) \\ = P _0 V_0-4 P _0 V_0 \\ =-3 P _0 V_0\end{array}$
$\begin{array}{l} w _{ ABCD }= w _{ AB }+ w _{ BC }+ w _{ CD } \\ = P _0 V_0+0+\left(-2 P _0 \times 2 V_0\right) \\ = P _0 V_0-4 P _0 V_0 \\ =-3 P _0 V_0\end{array}$
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