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A horizontal cylinder of section so is divided in two compartments A and B of volume Vo by an adiabatic vertical wall, as shown in the Figure. The lateral surfaces of the cylinder are adiabatic and the vertical wall can slide without friction in the horizontal direction. The base of compartment B is in contact with a thermal source at temperature To. The base of compartment A is an adiabatic piston that can move without friction. The base of compartment B and the vertical wall are connected by an ideal spring. Each compartment is filled with n moles of an ideal diatomic gas at temperature To. At time t=0 the spring is in its rest position and the gas in each compartment is in thermodynamic equilibrium. All the quantities mentioned so far are assumed to be known. Starting from time t=0, a very slowly increasing force F is gradually applied to the piston. Atmospheric pressure can

A horizontal cylinder of section so is divided in two compartments A and B of volume Vo by an adiabatic vertical wall, as shown in the Figure. The lateral surfaces of the cylinder are adiabatic and the vertical wall can slide without friction in the horizontal direction. The base of compartment B is in contact with a thermal source at temperature To. The base of compartment A is an adiabatic piston that can move without friction. The base of compartment B and the vertical wall are connected by an ideal spring. Each compartment is filled with n moles of an ideal diatomic gas at temperature To. At time t=0 the spring is in its rest position and the gas in each compartment is in thermodynamic equilibrium. All the quantities mentioned so far are assumed to be known. Starting from time t=0, a very slowly increasing force F is gradually applied to the piston. Atmospheric pressure can

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A horizontal cylinder of section so is divided in two compartments A and B of volume Vo by an adiabatic vertical wall, as shown in the Figure. The lateral surfaces of the cylinder are adiabatic and the vertical wall can slide without friction in the horizontal direction. The base of compartment B is in contact with a thermal source at temperature To. The base of compartment A is an adiabatic piston that can move without friction. The base of compartment B and the vertical wall are connected by an ideal spring. Each compartment is filled with n moles of an ideal diatomic gas at temperature To. At time t=0 the spring is in its rest position and the gas in each compartment is in thermodynamic equilibrium. All the quantities mentioned so far are assumed to be known. Starting from time t=0, a very slowly increasing force F is gradually applied to the piston. Atmospheric pressure can be neglected. Find: a) The minimum value Fmin such that the piston starts sliding when F> Fmin - When the volume of compartment A becomes equal to Vị = Vo/2 and the vertical wall has travelled a distance d = Vo/(2 so) the piston is blocked. In these conditions, find: b) The pressure pi of the gas in compartment A. c) The volume V2 and the pressure p2 of the gas in compartment B. d) The change of entropy of the thermal source. e) The elastic constant of the spring. A W To
Transcribed Image Text:A horizontal cylinder of section so is divided in two compartments A and B of volume Vo by an adiabatic vertical wall, as shown in the Figure. The lateral surfaces of the cylinder are adiabatic and the vertical wall can slide without friction in the horizontal direction. The base of compartment B is in contact with a thermal source at temperature To. The base of compartment A is an adiabatic piston that can move without friction. The base of compartment B and the vertical wall are connected by an ideal spring. Each compartment is filled with n moles of an ideal diatomic gas at temperature To. At time t=0 the spring is in its rest position and the gas in each compartment is in thermodynamic equilibrium. All the quantities mentioned so far are assumed to be known. Starting from time t=0, a very slowly increasing force F is gradually applied to the piston. Atmospheric pressure can be neglected. Find: a) The minimum value Fmin such that the piston starts sliding when F> Fmin - When the volume of compartment A becomes equal to Vị = Vo/2 and the vertical wall has travelled a distance d = Vo/(2 so) the piston is blocked. In these conditions, find: b) The pressure pi of the gas in compartment A. c) The volume V2 and the pressure p2 of the gas in compartment B. d) The change of entropy of the thermal source. e) The elastic constant of the spring. A W To
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