Chapter 10, Problem 10.42P

Interpretation Introduction

(a)

Interpretation:

The point representing $60\text{ at\% Bi}$ at ${250}^{\circ }\text{C}$ is to be indicated on the Bi-Sb phase diagram along with the phases present and their relative amounts are to be determined.

Concept Introduction:

A matter can exist in different physical forms such as sold, liquid, gas, and plasma. These distinct physical forms are known as a Phase.

A phase has uniform physical and chemical properties and is bounded by a surface due to which two phases can be mechanically separated from each other.

Amount of each phase in at% is calculated using lever rule. At a particular temperature and composition, a tie line is drawn on the phase diagram of the solid solution between the solidus and liquidus curve. Then the portion of the lever opposite to the phase whose amount is to be calculated is considered in the formula used as:

  $\text{Phase at\%}=\frac{\text{opposite arm of lever}}{\text{total length of the tie line}}\times 100$ ......... (1)

Interpretation Introduction

(b)

Interpretation:

The point representing $30\text{ at\% Bi}$ at ${500}^{\circ }\text{C}$ is to be indicated on the Bi-Sb phase diagram along with the phases present and their relative amounts are to be determined.

Concept Introduction:

A matter can exist in different physical forms such as sold, liquid, gas, and plasma. These distinct physical forms are known as a Phase.

A phase has uniform physical and chemical properties and is bounded by a surface due to which two phases can be mechanically separated from each other.

Amount of each phase in at% is calculated using lever rule. At a particular temperature and composition, a tie line is drawn on the phase diagram of the solid solution between the solidus and liquidus curve. Then the portion of the lever opposite to the phase whose amount is to be calculated is considered in the formula used as:

  $\text{Phase at\%}=\frac{\text{opposite arm of lever}}{\text{total length of the tie line}}\times 100$ ......... (1)

Interpretation Introduction

(c)

Interpretation:

The point representing $50\text{ at\% Bi}$ at ${600}^{\circ }\text{C}$ is to be indicated on the Bi-Sb phase diagram along with the phases present and their relative amounts are to be determined.

Concept Introduction:

A matter can exist in different physical forms such as sold, liquid, gas, and plasma. These distinct physical forms are known as a Phase.

A phase has uniform physical and chemical properties and is bounded by a surface due to which two phases can be mechanically separated from each other.

Amount of each phase in at% is calculated using lever rule. At a particular temperature and composition, a tie line is drawn on the phase diagram of the solid solution between the solidus and liquidus curve. Then the portion of the lever opposite to the phase whose amount is to be calculated is considered in the formula used as:

  $\text{Phase at\%}=\frac{\text{opposite arm of lever}}{\text{total length of the tie line}}\times 100$ ......... (1)