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A piston-cylinder device has a ring to limit the expansion stroke. Initially the mass of Oxygen is 2 kg at 500 kPa, 30° C. Heat is now transferred until the piston touches the stop, at which point the volume is twice the original volume. More heat is transferred until the pressure inside also doubles. Determine the amount of heat transfer and the final temperature.

A piston-cylinder device has a ring to limit the expansion stroke. Initially the mass of Oxygen is 2 kg at 500 kPa, 30° C. Heat is now transferred until the piston touches the stop, at which point the volume is twice the original volume. More heat is transferred until the pressure inside also doubles. Determine the amount of heat transfer and the final temperature.

Grade:8

1 Answers

Ashish Kumar
askIITians Faculty 32 Points
7 years ago
The first process takes place at constant pressure and the second at constant volume.Initial temperature Ti =303 K. For constant pressure the volume has doubled so the temperature will be doubled.
Hp = n Cp (Tf -Ti), n=no. of moles of O2 = 2000/32, Tf=606 K, Cp =7 R/2
Hp = 551062.3 J
For constant volume Hv = nCv (delta T) , Cv =5R /2
As pressure is doubled the temperature also doubles at const . volume .Final temperature will be =1212 K
Hv=787231.8 J
total heat transferred= Hp +Hv =1338294.1 J


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