
(a)
Interpretation:
In the given phase diagram, whether the alloy Al-4% Si is hypo-eutectic or hyper-eutectic needs to be determined.
Concept Introduction:
An alloy is a mixture of metals or the mixture of non-metals with another metal. A metallic bonding character defines alloys. For practical applications, the alloy constituents are generally evaluated by mass proportion and for fundamental science studies in the atomic fraction. Alloys are generally categorized as a replacement or interstitial alloys, based on the alloy's nuclear structure.

Answer to Problem 11.30P
The alloy is hypo-eutectic because its composition lies between eutectic reaction and eutectic composition.
Explanation of Solution
The phase diagram given is as follows:
From the phase diagram oftheAl-Si alloy system,
The alloy is hypo-eutectic because the composition is between eutectic reaction and the eutectic composition, and it lies between 1.65% and 12.6%Si.
Thus, from the phase diagram of the Al-Si alloy system, this alloy is hypo-eutectic because the composition lies between eutectic reaction and eutectic composition.
(b)
Interpretation:
The composition of the first solid to form during solidification needs to be determined.
Concept Introduction:
An alloy is a mixture of metals or the mixture of non-metals with another metal. A metallic bonding character defines alloys. For practical applications, the alloy constituents are generally evaluated by mass proportion and for fundamental science studies in the atomic fraction. Alloys are generally categorized as a replacement or interstitial alloys, based on the alloy's nuclear structure.

Answer to Problem 11.30P
The composition of the first form during solidification is 1%.
Explanation of Solution
Given:
It is given that % of Al=96%,wt. of Si=4gm, molar mass of Si=63.54 g/mol, molar mass of Al=26.891g/mol.
Calculations:
The formula for finding the composition of the first solid to form during solidification is,
Putting the values,
Thus,
%Si
Therefore, from the formula, the composition of first solid to form during solidification is 1%.
(c)
Interpretation:
The amounts and compositions of each phase at
Concept Introduction:
An alloy is a mixture of metals or the mixture of non-metals with another metal. A metallic bonding character defines alloys. For practical applications, the alloy constituents are generally evaluated by mass proportion and for fundamental science studies in the atomic fraction. Alloys are generally categorized as a replacement or interstitial alloys, based on the alloy's nuclear structure.

Answer to Problem 11.30P
The amounts and compositions of each phase at
Explanation of Solution
Given Information:
The given phase diagram is as follows:
The above-given diagram is the phase diagram of the Al-Si alloy system for the eutectic temperature of
Calculations:
The eutectic reaction of the Al-Si alloy is in the form of
Thus, the liquid phase composition is
Thus, from the given phase diagram of Al-Si the amount and composition is
(d)
Interpretation:
The amounts and compositions at each phase and each micro-constituent at
Concept Introduction:
An alloy is a mixture of metals or the mixture of non-metals with another metal. A metallic bonding character defines alloys. For practical applications, the alloy constituents are generally evaluated by mass proportion and for fundamental science studies in the atomic fraction. Alloys are generally categorized as a replacement or interstitial alloys, based on the alloy's nuclear structure.

Answer to Problem 11.30P
The amounts and compositions of each phase at
Explanation of Solution
GivenInfromation:
The below diagram is the phase diagram of the Al-Si alloy system of eutectic temperature at
Calculation:
For the Al-Si alloy, the eutectic phase reaction is in the form of
Therefore, the solid phase is calculated as,
The Al-Si alloy contains two stages. Therefore, the Al-Si alloy micro-constituent is primary and eutectic. Solid forming before an alloy is cooled to eutectic temperature is known as the primary micro-constituent and the strong forming is known as eutectic after the cooling temperature. The structure of micro-constituents is the primary
Thus from the phase diagram of Al-Si, the amounts and compositions of each phase at
(e)
Interpretation:
The amounts and compositions at each phase
Concept Introduction:
An alloy is a mixture of metals or the mixture of non-metals with another metal. A metallic bonding character defines alloys. For practical applications, the alloy constituents are generally evaluated by mass proportion and for fundamental science studies in the atomic fraction. Alloys are generally categorized as a replacement or interstitial alloys, based on the alloy's nuclear structure.

Answer to Problem 11.30P
The amounts and compositions of each phase at
Explanation of Solution
Given Information:
The above diagram is the phase diagram of the Al-Si alloy system of eutectic temperature at
Calculation:
For the Al-Si alloy, the eutectic phase reaction is in the form of
Therefore, the solid phase is calculated as,
Thus from the phase diagram of Al-Si the amounts and compositions of each phase at
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Chapter 11 Solutions
Essentials of Materials Science and Engineering, SI Edition
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