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Work done in Isothermal Irreversible Process

110.1 L of an...

Question

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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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.

(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

(γ = 1.5)

300 K

100 k P a

\sqrt{2} = 1.41

1 l i t r e

(γ = 1.5)

300 K

300 K

(C_{p} = 7 / 2 R)

P_{A}

T_{A}

P_{A}

P - T

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