Plumber's solder is composed of 67% lead and 33% tin by weight. Describe what happens to this mixture as it cools, and explain why this composition might be more suitable than the eutectic composition for joining pipes.

Short Answer

Expert verified

As a result, the tin and lead mixture is better for joining pipes.

Step by step solution

01

Given information

Plumber's solder is composed of 67% lead and 33% tin by weight.

02

Explanation

Take a look at the phase diagram for a tin-lead mixture in the graph below. By weight, the solder combination contains 67 percent lead and 23 percent tin. If the mixture cools, the temperature will drop from the dashed red line on the graph until it hits the temperature boundary between the liquid phase and the solid Pb-Liquid phase, which is 250 K, and the lead will begin to freeze. The remaining liquid includes a higher percentage of tin, so the point at which it freezes will be lower, and the remaining liquid will again contain a higher percentage of tin, so the point at which it freezes will be lower. This cycle will continue until the temperature drops below freezing. Because the two curves of the two borders will meet at this moment, all of the remaining mixture will freeze (this point called the eutectic point).

03

Explanation

The melting temperature of the mixture will decrease more than the eutectic composition for joining the pipes in our situation (where the solder mixture contains 67 percent lead and 23 percent tin by weight). The mixture is more suitable for soldering if the melting temperature is lower. As a result, the tin and lead mixture is better for joining pipes.

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

Sketch qualitatively accurate graphs of Gvs.Tfor the three phases ofH2O(ice, water, and steam) at atmospheric pressure. Put all three graphs on the same set of axes, and label the temperatures0°Cand 100°C. How would the graphs differ at a pressure of0.001bar?

Use the Clausius-Clapeyron relation to derive equation 5.90 directly from Raoult's law. Be sure to explain the logic carefully.

Problem 5.64. Figure 5.32 shows the phase diagram of plagioclase feldspar, which can be considered a mixture of albite NaAlSi3O8and anorthiteCaAl2Si2O8

a) Suppose you discover a rock in which each plagioclase crystal varies in composition from center to edge, with the centers of the largest crystals composed of 70% anorthite and the outermost parts of all crystals made of essentially pure albite. Explain in some detail how this variation might arise. What was the composition of the liquid magma from which the rock formed?

(b) Suppose you discover another rock body in which the crystals near the top are albite-rich while the crystals near the bottom are anorthite-rich. Explain how this variation might arise.

Use the result of the previous problem to estimate the equilibrium constant of the reactionN2+3H22NH3at 500° C, using only the room- temperature data at the back of this book. Compare your result to the actual value of K at 500° C quoted in the text.

Problem 5.35. The Clausius-Clapeyron relation 5.47 is a differential equation that can, in principle, be solved to find the shape of the entire phase-boundary curve. To solve it, however, you have to know how both L and V depend on temperature and pressure. Often, over a reasonably small section of the curve, you can take L to be constant. Moreover, if one of the phases is a gas, you can usually neglect the volume of the condensed phase and just take V to be the volume of the gas, expressed in terms of temperature and pressure using the ideal gas law. Making all these assumptions, solve the differential equation explicitly to obtain the following formula for the phase boundary curve:

P= (constant) x e-L/RT

This result is called the vapour pressure equation. Caution: Be sure to use this formula only when all the assumptions just listed are valid.

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