WBJEE · Physics · Thermodynamics
A frictionless piston-cylinder based enclosure contains some amount of gas at a pressure of \(400 \mathrm{kPa}\). Then heat is transferred fo the gas at constant pressure in a quasi-static process. The piston moves up slowly through a height of \(10 \mathrm{cm} .\) If the piston has a cross-sectional area of \(0.3 \mathrm{m}^{2},\) the work done by the gas in this process is
- A \(6 \mathrm{kJ}\)
- B \(12 \mathrm{kJ}\)
- C \(7.5 \mathrm{kJ}\)
- D \(24 \mathrm{kJ}\)
Answer & Solution
Correct Answer
(B) \(12 \mathrm{kJ}\)
Step-by-step Solution
Detailed explanation
\(W_{\text {constant pressure }}=p \times \Delta V\) \(=400 \times 10^{3} \times 0.3 \times 10 \times 10^{-2}\) \(=400 \times 10 \times 3\) \(=12000=12 \mathrm{kJ}\)
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