Brass is a metal consisting principally of copper alloyed with a smaller amount of zinc, whose atoms do not alternate in a regular pattern in the crystal lattice but are somewhat randomly scattered about. The resistivity of brass is higher than that of either copper or zinc at room temperature, and it drops much slower as the temperature is lowered. What do these behaviors tell us about electrical conductivity in general?

Short Answer

Expert verified

Conductivity grows slowly as the temperature falls, unlike copper or zinc.

Step by step solution

01

Concept:

The valence electron becomes a free electron and thus the metal can conduct electricity. Thus, the electrical conductivity of copper increases with increasing temperature because the electrical conductivity of a metal is caused by the movement of electrons.

02

Step 2: Electrical conductivity:

Collisions between electrons and positive ions do not generate resistance in metals. Instead, the variation from regularity disrupts the electron wave, determining the metal's resistance. Brass, which is made up of atoms that do not alternate in a regular manner, has a far higher resistance than copper or zinc. This is due to the regular crystal pattern of copper or zinc.

The resistance of a metal increases as temperature rises and reduces as the temperature falls due to the vibration of the positive ions in the metal. The resistivity of brass is caused by flaws in the metal and is nearly temperature independent. As a result, as the temperature is dropped, the resistance of brass gradually diminishes. As a result, compared to copper or zinc, its conductivity rises slowly as the temperature decreases.

Hence, conductivity grows slowly as the temperature falls, unlike copper or zinc.

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

Question: Referring to equations(10-2), lobe I of the hybrid states combines the spherically symmetric s state with the state that is oriented along thez-axis. and thus sticks out in the direction (see Exercises 28 and 33), If Figure is a true picture, then in a coordinate system rotated counterclockwise about they-axis by the tetrahedral angle, lobe II should become lobe. In the new frame. -values are unaffected. but what had been values in the 2x -plane become values in the -plane. according tox=x'cosα+z'sinα and z'cosα-x'sinα, whereα=109.5o iscos-1(-13) , or .

(a) Show that lobe II becomes lobe I. Note that since neither the 2s state nor the radial part of the p states is affected by a rotation. only the angular parts given in equations (10-1) need be considered.

(b) Show that if lobe II is instead rotated about thez-axis by simply shifting φby±1200 . it becomes lobes III and IV.

In the boron atom, the single 2p electron does not completely fill any 2p spatial state, yet solid boron is not a conductor. What might explain this? (It may be helpful to consider again why beryllium is not an insulator.)

Electron affinity is a property specifying the "appetite" of an element for gaining electrons. Elements, such as fluorine and oxygen that lack only one or two electrons to complete shells can achieve a lower energy state by absorbing an external electron. For instance, in uniting an electron with a neutral chlorine atom, completing its n = 3 shell and forming a CI ion, 3.61 eV of energy is liberated. Suppose an electron is detached from a sodium atom, whose ionization energy is 5.14 eV.Then transferred to a (faraway) chlorine atom.

(a) Must energy on balance be put in by an external agent, or is some energy actually liberated? If so How much?

(b) The transfer leaves the sodium with a positive charge and the chlorine with a negative. Energy can now be extracted by allowing these ions to draw close forming a molecule. How close must they approach to recover the energy expended in part (a)?

(c)The actual separation of the atoms in a NaCl molecule is 0.24 nm. How much lower in energy is the molecule than the separated neutral atoms?

Question: In a diode laser electrons dropping from the conduction band across the gap, and into the valence band produce the photons that add to the coherent light. The ZnTe laser has a band gap of 2.25 eV. About what wavelength laser light would you expect it to produce?

Question: - For a small temperature change. a material's resistivity (reciprocal of conductivity) will change linearly according to

p(dT)=ρ0+dρ=ρ0(1+αdT)

The fractional change in resistivity, αalso known as the temperature coefficient, is thus

α=1ρ0dρdT

Estimate forα silicon at room temperature. Assume a band gap of 1.1 e v .

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