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Suppose you cool a mixture of 50% nitrogen and 50% oxygen until it liquefies. Describe the cooling sequence in detail, including the temperatures and compositions at which liquefaction begins and ends.

Short Answer

Expert verified

The liquefying process will continue as we lower the temperature.

Step by step solution

01

Given information

Suppose you cool a mixture of 50% nitrogen and 50% oxygen until it liquefies.

The term "liquefying" refers to the transformation of a liquid from another state, such as a gaseous to a liquid or a solid to a liquid.

02

Explanation

Temperature graph for the mixture is:


Consider the experimental phase diagram for nitrogen and oxygen at atmospheric pressure in Figure 5.31 of the book. If we take a horizontal line from the upper curve to the lower curve (until they intersect), we can see that the x = 0.75 from the lower curve, and since pure nitrogen occurs at x = 0, we can conclude that the mixture is in a gaseous state as we lower the temperature.

The liquefying process will continue as we lower the temperature; follow the bottom curve until it hits x = 0.50; there must be no gas left at this point; drawing a horizontal line, we can see that the temperature at this point is 81.6 K.

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