Pressure, volume and work done in an ideal

AI Thread Summary
The discussion revolves around a problem involving an ideal gas undergoing a cyclic process with specific changes in pressure and volume. The user seeks guidance on drawing a pV diagram and calculating the total work done, which is identified as -p0V0. Additionally, they inquire about the heat added at each stage and the change in internal energy throughout the cycle. Relevant equations for pressure, volume, and work, particularly integral equations, are requested to aid in solving the problem. The conversation emphasizes the need for clarity in understanding the thermodynamic principles involved.
jh128273
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I am having trouble with this question:( Any advice.

One mole of an ideal gas at a pressure p0 and a volume V0 undergoes the following changes in order:
(i) expands to twice its volume at a constant pressure
(ii) heats to twice its initial pressure at constant volume
(iii) is compressed to its original volume at constant pressure,and
(iv) restored to its original state at constant volume

(a) Draw this cyclic process on a pV diagram, and hence show that the total work done by the gas is –p0V0.
(b) What amounts of heat are added to the gas at each stage of the cycle?
(c) What, if any, is the change in internal energy of the gas?





I have drawn the diagram which looks like a square i think. But I am unsure how to proceed.
 
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What equations do you have available that might be relevant? In particular, some integral equation relating pressure, volume and work?
 
jh128273 said:
I have drawn the diagram which looks like a square i think.
Sounds good.
 

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