High School

Air is compressed from a pressure of 101 kPa and 300 K in a reversible adiabatic process. Find the work needed to compress 5 kg of air if the final pressure is 600 kPa.

Answer :

748kJ is the work needed to compress 5 kg of air if final pressure is 600 kPa.

Define work

Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is simply equal to the product of the force's magnitude and the distance traveled.

For fluids, we can define work as pressure acting through a change in volume, just as we define work as force operating over a distance. In the classical concept of work, pressure and volume are equivalent to force and distance, respectively.

W ⇒ mT(P2-P1)

W ⇒ 5*300*(600-101)

W ⇒ 748kJ

To learn more about work use:

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