The figure to the right shows a gas contained in a vertical piston-cylinder assembly. A vertical shaft with a cross- sectional area of 1.0 cm² is attached to the top of the piston. The total mass of the piston and shaft is 35 kg. While the gas is slowly heated, the internal energy of the gas increases by 0.25 kJ, the potential energy of the piston-shaft combination increases by 0.5 kJ, and a force of 1300 N is exerted on the shaft as shown in the figure. The piston and cylinder are both good insulators and friction between them is negligible. The local atmospheric pressure is 1 bar and g = 9.81 m/s².

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Chapter1: Units, Trigonometry. And Vectors
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Answers (~1.9kJ, ~1.1kJ, ~4kJ)
The figure to the right shows a gas contained in a vertical
piston-cylinder assembly. A vertical shaft with a cross-
sectional area of 1.0 cm² is attached to the top of the piston.
The total mass of the piston and shaft is 35 kg. While the gas
is slowly heated, the internal energy of the gas increases by
0.25 kJ, the potential energy of the piston-shaft combination
increases by 0.5 kJ, and a force of 1300 N is exerted on the
shaft as shown in the figure. The piston and cylinder are both
good insulators and friction between them is negligible. The
local atmospheric pressure is 1 bar and g = 9.81 m/s².
Determine:
21
F-1300N
(c) the heat transfer to the gas (kJ)
(d) Provide a detailed accounting of where all of the heat energy has gone.
C
19
4
A-14cm
(a) the work done by the shaft (kJ)
(b) the work done in displacing the atmosphere (kJ) (atmosphere does not act on shaft
aka a donut area)
D²10.0
Transcribed Image Text:Answers (~1.9kJ, ~1.1kJ, ~4kJ) The figure to the right shows a gas contained in a vertical piston-cylinder assembly. A vertical shaft with a cross- sectional area of 1.0 cm² is attached to the top of the piston. The total mass of the piston and shaft is 35 kg. While the gas is slowly heated, the internal energy of the gas increases by 0.25 kJ, the potential energy of the piston-shaft combination increases by 0.5 kJ, and a force of 1300 N is exerted on the shaft as shown in the figure. The piston and cylinder are both good insulators and friction between them is negligible. The local atmospheric pressure is 1 bar and g = 9.81 m/s². Determine: 21 F-1300N (c) the heat transfer to the gas (kJ) (d) Provide a detailed accounting of where all of the heat energy has gone. C 19 4 A-14cm (a) the work done by the shaft (kJ) (b) the work done in displacing the atmosphere (kJ) (atmosphere does not act on shaft aka a donut area) D²10.0
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