The element which will provide the smallest reduction in electrical conductivity to the alloy is to be determined. Also, the element which will have unlimited solubility in aluminum is to be determined. Concept Introduction: A property of a substance known as solute whether it is solid, liquid, or gaseous to get dissolved in the solid, liquid or gaseous solvent is known as solubility. When two or more solid chemical substances are dissolved in each other and only one phase appears after mixing irrespective of any concentration of the solute in the solvent, then there is unlimited solid solubility. In alloying, the electrical conductivity of the alloy is dependent on the difference in the size of its constituent elements. Less is the difference in the sizes of the elements, higher is the electrical conductivity of the alloy which means, less is the reduction in the electrical conductivity of an alloy. Hume-Rothery rules are the conditions which are to be satisfied to attain unlimited solid solubility. These rules are stated as: 1. The size of the atoms or the ions involved should be similar to minimize the lattice strain. This means that there should not be more than 15 % difference in the atomic radius to avoid the deviations caused in the interatomic spacing. 2. The crystal structure of both the materials should be same to avoid different structure caused due to the transition from one phase to another phase at some point. 3. The difference in the valency of the ions causes the formation of compounds rather than solutions. Tus, the valence of the ions must be same. 4. The significant difference in the electronegativity (affinity for electrons) caused the compound formation rather than solutions. Therefore, the electronegativity of atoms must be approximately same.

Question

Want to see the full answer?

Answer 1

Question

Chapter 10, Problem 10.33P

Interpretation Introduction

Interpretation:

The element which will provide the smallest reduction in electrical conductivity to the alloy is to be determined. Also, the element which will have unlimited solubility in aluminum is to be determined.

Concept Introduction:

A property of a substance known as solute whether it is solid, liquid, or gaseous to get dissolved in the solid, liquid or gaseous solvent is known as solubility.

When two or more solid chemical substances are dissolved in each other and only one phase appears after mixing irrespective of any concentration of the solute in the solvent, then there is unlimited solid solubility.

In alloying, the electrical conductivity of the alloy is dependent on the difference in the size of its constituent elements. Less is the difference in the sizes of the elements, higher is the electrical conductivity of the alloy which means, less is the reduction in the electrical conductivity of an alloy.

Hume-Rothery rules are the conditions which are to be satisfied to attain unlimited solid solubility. These rules are stated as:

1. The size of the atoms or the ions involved should be similar to minimize the lattice strain. This means that there should not be more than 15% difference in the atomic radius to avoid the deviations caused in the interatomic spacing.

2. The crystal structure of both the materials should be same to avoid different structure caused due to the transition from one phase to another phase at some point.

3. The difference in the valency of the ions causes the formation of compounds rather than solutions. Tus, the valence of the ions must be same.

4. The significant difference in the electronegativity (affinity for electrons) caused the compound formation rather than solutions. Therefore, the electronegativity of atoms must be approximately same.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

8.2 only

5.6 A section of highway has the following flow- density relationship q = 50k - 0.156k2 [with q in veh/h and k in veh/mi]. What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?

8.20 Two routes connect a suburban area and a city, with route travel times (in minutes) given by the expressions t₁ = 6 + 8(x₁/c₁) and t₂ = 10 + 3(x2/c2), where the x's are expressed in thousands of vehicles per hour and the c's are the route capacities in thousands of vehicles per hour. Initially, the capacities of routes 1 and 2 are 4000 and 2000 veh/h, respectively. A reconstruction project on route 1 reduces the capacity to 3000 veh/h, but total traffic demand is unaffected. Observational studies note a 35.28-second increase in average travel time on route 1 and a 68.5% increase in flow on route 2 after reconstruction begins. User-equilibrium conditions exist before and during reconstruction. If both routes are always used, determine equilibrium flows and travel times before and after reconstruction begins.