A piston/cylinder device contains 0.1 kg of air at 300 K

Chapter 3, Problem 155HP

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QUESTION:

Problem 155HP

A piston/cylinder device contains 0.1 kg of air at 300 K and 100 kPa. The air is now slowly compressed in an isothermal (T = constant) process to a final pressure of 250 kPa. Show the process in a PV diagram, and find both the work and heat transfer in the process.

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QUESTION:

Problem 155HP

A piston/cylinder device contains 0.1 kg of air at 300 K and 100 kPa. The air is now slowly compressed in an isothermal (T = constant) process to a final pressure of 250 kPa. Show the process in a PV diagram, and find both the work and heat transfer in the process.

ANSWER:

Solution 155 HP

Step 1 of 3

We have to find the work and heat transfer in an isothermal process and show the process on a diagram.

The work done in an isothermal process can be found from the expression.

From the ideal gas equation

         

            

Where,

kg

gas constant for air

     = 0.287 kJ/kgK

K

kPa

kPa

Thus,

       

 

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