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

Question

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 (A) 6 kJ (B) 12 kJ (C) 7.5 kJ (D) 24 kJ

Tardigrade Admin · Accepted Answer

W text constart pressure =p × Δ V =400 × 103 × 0.3 × 10 × 10-2 =400 × 10 × 3 =12000=12 kJ

6 kJ

12 kJ

7.5 kJ

24 kJ

Wconstart pressure ​=p×ΔV =400×103×0.3×10×10−2 =400×10×3 =12000=12kJ

$W_{constart pressure} = p \times Δ V$
$= 400 \times 1 0^{3} \times 0.3 \times 10 \times 1 0^{- 2}$
$= 400 \times 10 \times 3$
$= 12000 = 12 k J$