Chapter 4, Problem 4.75DP

Interpretation Introduction

(a)

Interpretation:

An aluminum alloy with the given value of density as $2.6450{\text{ g/cm}}^3$ is to be designed.

Concept introduction:

A substance which is formed by melting together two or more elements, of which one is metal, is known as an alloy.

The components of an alloy cannot be separated by physical methods.

The formula to calculate the density of an alloy containing two elements is:

  $\rho =x_a{\rho }_a+\left(1-x_a\right){\rho }_b$ ..... (1)

Here, $\rho$ is the density of the alloy, ${\rho }_a$ is the density of element ' a', ${\rho }_b$ is the density of element ' b', and $x_a$ is the volume fraction of element ' a'.

Interpretation Introduction

(b)

Interpretation:

Interpretation:

An aluminum alloy with the given value of density as $2.7450{\text{ g/cm}}^3$ is to be designed.

Concept introduction:

A substance which is formed by melting together two or more elements, of which one is metal, is known as an alloy.

The components of an alloy cannot be separated by physical methods.

The formula to calculate the density of an alloy containing two elements is:

  $\rho =x_a{\rho }_a+\left(1-x_a\right){\rho }_b$ ..... (1)

Here, $\rho$ is the density of the alloy, ${\rho }_a$ is the density of element ' a', ${\rho }_b$ is the density of element ' b', and $x_a$ is the volume fraction of element ' a'.