Question

Problem 2.054 SI The figure below shows a gas contained in a vertical piston-cylinder assembly, where D = 15 cm. A vertical shaft whose cross-sectional area is 0.8 cm is attached to the top of the piston. The total mass of the piston and shaft is 25 kg. While the gas is slowly heated, the internal energy of the gas increases by 0.1 k), the potential energy of the piston-shaft combination increases by 0.2 k), and a force of F = 1668 N is exerted on the shaft as shown in the figure. The piston and cylinder are poor conductors, and friction between them is negligible. The local atmospheric pressure is 1 bar and g = 9.81 m/s2. F A=0.8 cm? Patm = 1 bar - D Determine, (a) the work done by the shaft, (b) the work done in displacing the atmosphere, and (c) the heat transfer to the gas, all in k].

Answer 1

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@ Change in PE op £= mg. Oz 02= DPE - 0.217 (1000 mg IT (25X9-81) 0-8 rm - work done by shaft Ws - FD2 = (1668% (0.815 - Ashs = 1359.42J -- Answer 4:3594 195 1 Net area Anet - Apistoo- Ashaft Apiston- ID2 - Tx (15) 2 = 176.716 cm Anet - 176.7145-0.8 2 175.9145 cm²

Ibor Work done against atmosphere, Watm (Patm- Anet pz Watm- (lbar) (105 pg ) (175.9145 xlorYm2) X60.815) Warto - 1433.7038 I or 1:4337 by © Total woncdone by system, W - Wst Wat 2 W = 1359.42t 1433.7038 "We 2793.1238. J = 2793.128 x103 g According to list law of thermodynamics. COKE + DPE touges + Core topetov leita - shaft co to tou gen trotoPeto) piston shaft * Quwa sugey tole pestao-theft

Het supplied 19*3.09312 Bालकिन fmoLI-IX (उाछन्ग -10-0+ 1ि.9 -6 Mt thousutrida dot robog obi