Problem 1: The figure shows a gas contained in a vertical piston-cylinder assembly. A vertical shaft whose cross-sectional area is 0.8 cm² 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 kJ, the potential energy of the piston-shaft combination increases by 0.2 kJ, and a force of 1334 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 I bar and g=9.81 m/s². 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 kJ. F=1334 N -A=0.8 cm² Pam 1 bar -D=10 cm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 1: The figure shows a gas contained in a vertical piston- cylinder assembly. A vertical
shaft whose cross-sectional area is 0.8 cm² 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 kJ, the potential energy of the piston-shaft combination increases by 0.2 kJ, and
a force of 1334 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. 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 kJ.
F = 1334 N
-A=0.8 cm²
Patm = 1 bar
Gas
-D = 10 cm
Transcribed Image Text:Problem 1: The figure shows a gas contained in a vertical piston- cylinder assembly. A vertical shaft whose cross-sectional area is 0.8 cm² 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 kJ, the potential energy of the piston-shaft combination increases by 0.2 kJ, and a force of 1334 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. 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 kJ. F = 1334 N -A=0.8 cm² Patm = 1 bar Gas -D = 10 cm
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