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1 litre of an ideal gas (gamma =1.5) at ...

1 litre of an ideal gas `(gamma =1.5)` at `300K` 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 `300K` 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 litres. Calculate the work done by the gas .
(g) Calculate the total work done in the cycle.

Text Solution

Verified by Experts

The correct Answer is:
424.26 K, -82.84 J, -41.4 J , 103.95 J , -20.29 J
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1 liter of an ideal gas (gamma =1.5) at 300k 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 colled to 300k keeping its pressure constant. Calculate the work done during the process . (f) The gas is now expanded iasothermally to achive its original volume of 1 liters. Calculate the work done by the gas .(g) Calculate the total work done in the cycle.

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