WBJEE · Physics · Thermodynamics
An ideal gas undergoes the cyclic process abca as shown in the given \(\mathrm{P}-\mathrm{V}\) diagram. It rejects \(50 \mathrm{~J}\) of heat during \(a b\) and absorbs \(80 \mathrm{~J}\) of heat during ca. During \(b c\), there is no transfer of heat and \(40 \mathrm{~J}\) of work is done by the gas. What should be the area of the closed curve abca?
- A \(30 \mathrm{~J}\)
- B \(40 \mathrm{~J}\)
- C \(10 \mathrm{~J}\)
- D \(90 \mathrm{~J}\)
Answer & Solution
Correct Answer
(A) \(30 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
Hint: Area of cycle \(=\mathrm{W}_{\text {total }}\) \(=\Delta Q_{\text {net }}=\Delta Q_{A B}+\Delta Q_{B C}+\Delta Q_{C A}=-50+0+80=30 \mathrm{~J}\) NOTE: In process \(\mathrm{BC}, \mathrm{W}_{\mathrm{BC}}>0\) and \(\Delta \mathrm{U}_{\mathrm{BC}}>0\)…
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