Suppose you start with a liquid mixture of 60% nitrogen and 40% oxygen. Describe what happens as the temperature of this mixture increases. Be sure to give the temperatures and compositions at which boiling begins and ends.

Short Answer

Expert verified

The vaporising process will continue as the temperature rises.

Step by step solution

01

Given information

Suppose you start with a liquid mixture of 60% nitrogen and 40% oxygen.

02

Explanation

Temperature diagram for mixture of nitrogen and oxygen

Consider the experimental phase diagram for nitrogen and oxygen at atmospheric pressure in Figure 5.31 of the book. Assume we have a mixture of 40% oxygen and 60% nitrogen, so x=0.4. As the temperature rises, the mixture remains in a liquid state until we reach 80.6 K, at which point the liquid begins to vaporise. If we draw a horizontal line from the lower curve to the upper curve (until they intersect), we can see that x= 0.16 from the upper curve at this temperature, and since pure nitrogen occurs at x = 0, we can conclude the vaporising process will continue as the temperature rises; follow the upper curve until it hits x = 0.40; there can't be any liquid left from oxygen at this point; drawing a horizontal line, we can see that the temperature at this point is 84.5 K.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Consider again the aluminosilicate system treated in Problem 5.29. Calculate the slopes of all three phase boundaries for this system: kyanite andalusite, kyanite-sillimanite, and andalusite-sillimanite. Sketch the phase diagram, and calculate the temperature and pressure of the triple point.

Compare expression 5.68 for the Gibbs free energy of a dilute solution to expression 5.61 for the Gibbs free energy of an ideal mixture. Under what circumstances should these two expressions agree? Show that they do agree under these circumstances, and identify the function f(T, P) in this case.

Consider a completely miscible two-component system whose overall composition is x, at a temperature where liquid and gas phases coexist. The composition of the gas phase at this temperature is xaand the composition of the liquid phase is xb. Prove the lever rule, which says that the proportion of liquid to gas is x-xa/xb-x. Interpret this rule graphically on a phase diagram.

Repeat the previous problem for the opposite case where the liquid has a substantial negative mixing energy, so that its free energy curve dips |below the gas's free energy curve at a temperature higher than TB. Construct the phase diagram and show that this system also has an azeotrope.

The formula for CP-CV derived in the previous problem can also be derived starting with the definitions of these quantities in terms of U and H. Do so. Most of the derivation is very similar, but at one point you need to use the relation P=-(F/V)T.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free