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Question: Answered & Verified by Expert
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
PhysicsThermodynamicsJEE Main
Options:
  • A $6 \mathrm{kJ}$
  • B $12 \mathrm{kJ}$
  • C $7.5 \mathrm{kJ}$
  • D $24 \mathrm{kJ}$
Solution:
1345 Upvotes Verified Answer
The correct answer is: $12 \mathrm{kJ}$
$W_{\text {constant pressure }}=p \times \Delta V$ $=400 \times 10^{3} \times 0.3 \times 10 \times 10^{-2}$
$=400 \times 10 \times 3$
$=12000=12 \mathrm{kJ}$

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