A hollow cylinder made of a thermally insulating material is equipped with a horizontal piston P of mass m and area A. The piston is also made of a thermally insulating material. There is no friction between inner surface of the cylinder and the piston. Above the piston, a liquid of density p is filled up to brim of the cylinder. The piston is supported at the position shown due to pressure of an ideal gas filled in the lower portion of the cylinder. Number of moles of the gas is n, atmospheric pressure is po and initial temperature of the gas is To- The heater H is switched on.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
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Questions 28 and 29 are based on the following physical situation.
A hollow cylinder made of a thermally insulating material is equipped with
a horizontal piston P of mass m and area A. The piston is also made of a
thermally insulating material. There is no friction between inner surface of
the cylinder and the piston. Above the piston, a liquid of density p is filled
up to brim of the cylinder. The piston is supported at the position shown due
to pressure of an ideal gas filled in the lower portion of the cylinder. Number
of moles of the gas is n, atmospheric pressure is po and initial temperature
of the gas is T,. The heater H is switched on.
P
H
28. Work done by the gas on the piston is
(b) p,hA+ pgh²A+mgh
(d) 0.5(p,hA+ pgh² A) + mgh
(a) pgh² A + mgh
(c) phA+0.5pgh²A + mgh
29. Final temperature of the gas is
Po + pgh
Po
(а) 2Т,
(b) 2T,
Po + pgh
PA+mg
P,A+ pghA+ mg
Po
P,A + pghA+ mg
(s) 2T,
(d) 2T,
P,A + mg
Transcribed Image Text:Questions 28 and 29 are based on the following physical situation. A hollow cylinder made of a thermally insulating material is equipped with a horizontal piston P of mass m and area A. The piston is also made of a thermally insulating material. There is no friction between inner surface of the cylinder and the piston. Above the piston, a liquid of density p is filled up to brim of the cylinder. The piston is supported at the position shown due to pressure of an ideal gas filled in the lower portion of the cylinder. Number of moles of the gas is n, atmospheric pressure is po and initial temperature of the gas is T,. The heater H is switched on. P H 28. Work done by the gas on the piston is (b) p,hA+ pgh²A+mgh (d) 0.5(p,hA+ pgh² A) + mgh (a) pgh² A + mgh (c) phA+0.5pgh²A + mgh 29. Final temperature of the gas is Po + pgh Po (а) 2Т, (b) 2T, Po + pgh PA+mg P,A+ pghA+ mg Po P,A + pghA+ mg (s) 2T, (d) 2T, P,A + mg
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