Considering an alloy of the two soluble components A and B described by a phase diagram similar to that shown in Figure 2.14, determine the masses of the alloy that are in the liquid and solid phases at a given temperature if the total mass of the alloy is 100 g, component B represents 40% of the alloy, 20% of the liquid is component B, and 70% of solid is component B. This question is answered on here but I don't get how to get from step 3 to step 4 math wise. it goes from 20*ml + 70Ms=40x100 to solving simultaneously Ml= 60gMs= 40g Trying to figre out how the math works to get to the final answer Sample Problem 2.3Considering an alloy of the two soluble components A and B described by a phasediagram similar to that shown in Figure 2.14, determine the masses of the alloy thatare in the liquid and solid phases at a given temperature if the total mass of thealloy is 100 g, component B represents 40% of the alloy, 20% of the liquid is com-ponent B, and 70% of solid is component B.Solutionm = 100 gPB = 40%PIB = 20%Pas = 70%From Equations 2.4 and 2.5,m, + m, = 10020m, + 70m, = 40 × 100Solving the two equations simultaneously, we getm, = mass of the alloy that is in the liquid phase = 60 gm; = mass of the alloy that is in the solid phase = 40 g%3D

Given:- An alloy is divided into two soluble components A and B The total mass of the alloy = 100 g…

Answered: Considering an alloy of the two soluble…

Structural Analysis

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Author:KASSIMALI, Aslam.

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Chapter2: Loads On Structures

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Considering an alloy of the two soluble components A and B described by a phase diagram similar to that shown in Figure 2.14, determine the masses of the alloy that are in the liquid and solid phases at a given temperature if the total mass of the alloy is 100 g, component B represents 40% of the alloy, 20% of the liquid is component B, and 70% of solid is component B.

This question is answered on here but I don't get how to get from step 3 to step 4 math wise. it goes from 20*ml + 70Ms=40x100 to solving simultaneously

Ml= 60g

Ms= 40g

Trying to figre out how the math works to get to the final answer

Sample Problem 2.3
Considering an alloy of the two soluble components A and B described by a phase
diagram similar to that shown in Figure 2.14, determine the masses of the alloy that
are in the liquid and solid phases at a given temperature if the total mass of the
alloy is 100 g, component B represents 40% of the alloy, 20% of the liquid is com-
ponent B, and 70% of solid is component B.
Solution
m = 100 g
PB = 40%
PIB = 20%
Pas = 70%
From Equations 2.4 and 2.5,
m, + m, = 100
20m, + 70m, = 40 × 100
Solving the two equations simultaneously, we get
m, = mass of the alloy that is in the liquid phase = 60 g
m; = mass of the alloy that is in the solid phase = 40 g
%3D

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