Chapter 10, Problem 10.46P

Interpretation Introduction

(a)

Interpretation:

The phases present, composition of each of the phases present, and the amount of each of the phase in wt% for ${\text{Al}}_2{\text{O}}_3{\text{-30 wt\% Cr}}_2{\text{O}}_3$ ceramic composition at ${2150}^{\circ }\text{C}$, 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 wt% is calculated using lever rule. At a particular temperature and ceramic composition, a tie line is drawn on the phase diagram of the ceramic 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:

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

Interpretation Introduction

(b)

Interpretation:

The phases present, composition of each of the phases present, and the amount of each of the phase in wt% for ${\text{Al}}_2{\text{O}}_3{\text{-50 wt\% Cr}}_2{\text{O}}_3$ ceramic composition at ${2150}^{\circ }\text{C}$, 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 wt% is calculated using lever rule. At a particular temperature and ceramic composition, a tie line is drawn on the phase diagram of the ceramic 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:

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

Interpretation Introduction

(c)

Interpretation:

The phases present, composition of each of the phases present, and the amount of each of the phase in wt% for ${\text{Al}}_2{\text{O}}_3{\text{-75 wt\% Cr}}_2{\text{O}}_3$ ceramic composition at ${2150}^{\circ }\text{C}$, 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 wt% is calculated using lever rule. At a particular temperature and ceramic composition, a tie line is drawn on the phase diagram of the ceramic 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:

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