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Work done in Isothermal Irreversible Process

110.1 L of an...

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110.1 L of an ideal gas( Y=1.5) at 300 K is suddenly compressed to half of its original volume.Original pressure is 100 kPa.The gas is now expanded isothermally to achieve its original volume of 1 L.Calculate the work done by the gas?

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Q. 1 litre of an ideal gas (γ = 1.5) at 300 K is suddenly compressed to half its original volume. (a) Find the ratio of the final pressure to the initial pressure. (b) If the original pressure is 100 kPa, find the work done by the gas in the process. (c) What is the change in internal energy? (d) What is the final temperature? (e) The gas is now cooled to 300 K keeping its pressure constant. Calculate the work done during the process. (f) The gas is now expanded isothermally to achieve its original volume of 1 litre. Calculate the work done by the gas. (g) Calculate the total work done in the cycle.

1 litre of an ideal gas $(γ = 1.5)$ at 300 K is suddenly cpmpressed to half its original volume.

(a) Fibd the ratio of the final pressure to the initial pressure.

(b) If the original pressure is 100 kPa, find the work done by the gas in the process.

(c) What is the change in internal energy ?

(d) What is the final temperature ?

(e) The gas is now cooled to 300 K keeping its pressure constant. Calculate the work done durting the process.

(f) The gas is now expanded isothermally to achieve its original volume of 1 litre Calculate the work done by the gas

(g) Calculate the total work done in the cycle.

1 l i t r e

of an ideal gas

(γ = 1.5)

300 K

is suddenly compressed to half its original volume.
If the original pressure is

100 k P a

, find the work done by the gas in the process.

\sqrt{2} = 1.41

1 l i t r e

of an ideal gas

(γ = 1.5)

300 K

is suddenly compressed to half its original volume.
The gas is now cooled to

300 K

keeping its pressure constant. Calculate the work done during the process.

Q. Three mole of an ideal gas

(C_{p} = 7 / 2 R)

P_{A}

and temperature

T_{A}

is isothermally expanded to twice its initial volume. It is then compressed at constant pressure to its original volume. Finally the gas is compressed at constant volume to its original pressure

P_{A}

P - T

curves for complete process.
(b) Calculate the net work done by the gas and net heat supplied to gas during the complete process.

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