A mass of 1.5 kg of air at 120 kPa and 24°C is contained

Chapter 4, Problem 11P

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QUESTION:

Problem 11P

A mass of 1.5 kg of air at 120 kPa and 24°C is contained in a gas-tight, frictionless piston–cylinder device. The air is now compressed to a final pressure of 600 kPa. During the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. Calculate the work input during this process.

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QUESTION:

Problem 11P

A mass of 1.5 kg of air at 120 kPa and 24°C is contained in a gas-tight, frictionless piston–cylinder device. The air is now compressed to a final pressure of 600 kPa. During the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. Calculate the work input during this process.

ANSWER:

Step 1 of 2

Consider the boundary work done during the quasi equilibrium process.

Integrate the above equation.

Here, initial volume of piston cylinder is , final volume of piston cylinder is , initial pressure inside the cylinder is  and final pressure inside the cylinder is

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