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  4. A frictionless piston-cylinder based enclosure contains some amount of gas at a pressure of 400 kPa. Then heat is transferred to the gas at constant pressure in a quasi-sta ic process. The piston moves up slowly through a height of 10 cm. If the piston has a cross-section area of 0.3 m2, the work done by the gas in this process is

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Q. A frictionless piston-cylinder based enclosure contains some amount of gas at a pressure of $400 \,kPa$. Then heat is transferred to the gas at constant pressure in a quasi-sta ic process. The piston moves up slowly through a height of $10\,cm$. If the piston has a cross-section area of $0.3 \,m^2$, the work done by the gas in this process is

WBJEEWBJEE 2013Thermodynamics

Solution:

$ W_{\text {constart pressure }} =p \times \Delta V $
$=400 \times 10^{3} \times 0.3 \times 10 \times 10^{-2} $
$=400 \times 10 \times 3 $
$=12000=12 \,kJ$