What is the composition, in atom percent, of an alloy that contains \(99.7 \mathrm{lb}_{\mathrm{m}}\) copper, \(102 \mathrm{lb}_{\mathrm{m}}\) zinc, and \(2.1 \mathrm{lb}_{\mathrm{m}}\) lead?

Short Answer

Expert verified
Question: Determine the atom percent composition of an alloy containing 99.7 lbm of copper, 102 lbm of zinc, and 2.1 lbm of lead. Answer: To find the atom percent composition of each element in the alloy, follow these steps: 1. Convert the mass of each element to moles using their respective molar masses. 2. Calculate the total moles present in the alloy by adding the moles of each element. 3. Find the atom percent composition of each element by dividing their individual moles by the total moles and multiplying by 100. Copper atom % = \(\frac{\text{Copper moles}}{\text{Total moles}} \times 100\) Zinc atom % = \(\frac{\text{Zinc moles}}{\text{Total moles}} \times 100\) Lead atom % = \(\frac{\text{Lead moles}}{\text{Total moles}} \times 100\) With these calculations, you can determine the atom percent composition of copper, zinc, and lead in the alloy.

Step by step solution

01

Convert mass to moles

To convert the mass of each element into moles, divide the mass by the molar mass of each respective element. Use the formula: $$\text{moles} = \frac{\text{mass}}{\text{molar mass}}$$ For copper (Cu): molar mass = 63.55 g/mol For zinc (Zn): molar mass = 65.38 g/mol For lead (Pb): molar mass = 207.2 g/mol Copper moles = \(\frac{99.7{\rm\:lb_m}}{63.55{\rm\:g/mol}}\) Zinc moles = \(\frac{102{\rm\:lb_m}}{65.38{\rm\:g/mol}}\) Lead moles = \(\frac{2.1{\rm\:lb_m}}{207.2{\rm\:g/mol}}\)
02

Determine the total moles

Add the moles of each element together to find the total moles present in the alloy. Total moles = Copper moles + Zinc moles + Lead moles
03

Calculate atom percent composition

To find the atom percent composition of each element, divide the moles of each element by the total moles and multiply by 100. Use this formula: $$\text{atom \%} = \frac{\text{moles}_{\text{element}}}{\text{total moles}} \times 100$$ Copper atom % = \(\frac{\text{Copper moles}}{\text{Total moles}} \times 100\) Zinc atom % = \(\frac{\text{Zinc moles}}{\text{Total moles}} \times 100\) Lead atom % = \(\frac{\text{Lead moles}}{\text{Total moles}} \times 100\) These values give the atom percent composition of copper, zinc, and lead in the alloy.

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

Calculate the activation energy for vacancy formation in aluminum, given that the equilibrium number of vacancies at \(500^{\circ} \mathrm{C}(773 \mathrm{~K})\), is \(7.57 \times 10^{23} \mathrm{~m}^{-3}\). The atomic weight and density (at \(500^{\circ} \mathrm{C}\) ) for aluminum are, respectively, \(26.98 \mathrm{~g} / \mathrm{mol}\) and \(2.62 \mathrm{~g} / \mathrm{cm}^{3}\)

Calculate the unit cell edge length for an 85 \(\mathrm{wt} \%\) Fe-15 \(\mathrm{wt} \% \mathrm{~V}\) alloy. All of the vanadium is in a solid solution, and at room temperature the crystal structure for this alloy is BCC.

(a) For a given material, would you expect the surface energy to be greater than, the same as, or less than the grain boundary energy? Why? (b) The grain boundary energy of a smallangle grain boundary is less than for a highangle one. Why is this so?

Calculate the number of vacancies per cubic meter in iron at \(850^{\circ} \mathrm{C}\). The energy for vacancy formation is \(1.08 \mathrm{eV} /\) atom. Furthermore, the density and atomic weight for \(\mathrm{Fe}\) are \(7.65\) \(\mathrm{g} / \mathrm{cm}^{3}\) (at \(\left.850^{\circ} \mathrm{C}\right)\) and \(55.85 \mathrm{~g} / \mathrm{mol}\), respectively.

For each of the following stacking sequences found in FCC metals, cite the type of planar defect that exists: (a) ... \(A B C A B C B A C B A \ldots\) (b) ... \(A B C A B C B C A B C \ldots\) Now, copy the stacking sequences and indicate the position(s) of planar defect(s) with a vertical dashed line.

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