एक आदर्श गैस \((0.1 \mathrm{~mol})\) जिसका \(\overline{\mathrm{C}}_{\mathrm{v}}=1.50 \mathrm{R}\) (ताप से स्वतंत्र) बिंदु 1 से बिंदु 4 तक उपरोक्त परिवर्तन से गुजरती है। यदि प्रत्येक चरण उत्क्रमणीय है, तो बिंदु 1 से बिंदु 4 तक जाने में कुल किया गया कार्य (w) \((-)\) ________ जूल (निकटतम पूर्णांक) है। \(\left[\right.\) दिया गया है : \(\left.\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right]\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.