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Question

Isotherms of carbon dioxide gas are shown in figure. Mark a path for changing gas into liquid such that only one phase (i.e., either a gas or a liquid) exists at any time during the change. Explain how the temeprature, volume and pressure should be changed to carry out the change?

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Solution

It is possible to change a gas into a liquid or a liquid into a gas by a process such that there is always a single phase present.

e.g., In the figure given above, we can move from A to F vertically by increasing the temperature (NOTE: Temperature is directly proportional to pressure), then we can reach the point G by compressing the volume of gas at constant temperature along the isotherm (isotherm at 31.10C). The pressure will increase.

Now, we can move vertically down towards D by lowering the temperature. As soon as we cross point H on the critical isotherm, we get liquid. Thus, at no stage during the process, we can through the two-phase region.

It process is carried out at the critical temperature, substance always remains in on phase. This is called continuity of state between the gaseous and the liquid state. Hence the path for the change is A → F → G → H → D


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