a telijierature Tn. the ed and, after some oscillations, comes to rest in a final equilibr ponding to a larger volume of the gas. m) Does the temperature of the gns increase, decrease, or rema 5) Does the entropy of the gas increase, decrease, or remain =) Calculate the finsl temperature of the gas in terms of Te parameters mentioned in the statement of the problem.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.12P: 8.12 An electric room heater has been designed in the shape of a vertical cylinder 2 m tall and 30...
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A vertical cylinder contains v moles of an ideal gas and is closed off by a piston
of mass and area A. The acceleration due to gravity is g. The molar specific
heat cy (at constant volume) of the gas is a constant independent of temperature.
The heat capacities of the piston und cylinder are negligibly small and any fric-
tional forees between the piston and the cylinder walls can be neglected. The
whole system is thermaly insulated. Initially, the piston is clamped in position
so that the gas has a volume Ve and a tomperature Tn. The pıston is now
released and, after some nscillations, comes to rest in a final equilibrium situation
corresponding to a larger volumc of the gas.
(@) Does the temperature of the gas increase, decrease, or remain the same?
(b) Does the entropy of the gas increase, decrease, or remain the same?
(c) Calculate the final temperature of the gas in terms of Te, lo, unl the
other parameters mentioned in the statement of the prublem.
Transcribed Image Text:A vertical cylinder contains v moles of an ideal gas and is closed off by a piston of mass and area A. The acceleration due to gravity is g. The molar specific heat cy (at constant volume) of the gas is a constant independent of temperature. The heat capacities of the piston und cylinder are negligibly small and any fric- tional forees between the piston and the cylinder walls can be neglected. The whole system is thermaly insulated. Initially, the piston is clamped in position so that the gas has a volume Ve and a tomperature Tn. The pıston is now released and, after some nscillations, comes to rest in a final equilibrium situation corresponding to a larger volumc of the gas. (@) Does the temperature of the gas increase, decrease, or remain the same? (b) Does the entropy of the gas increase, decrease, or remain the same? (c) Calculate the final temperature of the gas in terms of Te, lo, unl the other parameters mentioned in the statement of the prublem.
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