Question

Asked Mar 8, 2020

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Considering an alloy of the two soluble components A and B described by a phase diagram Figure P2.31, 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 60% of the alloy, 25% of the liquid is component B, and 70% of solid is component B.

Step 1

Given:

Total mass of the alloy, M = 100 gm

Percentage of component B, P_{B} = 60%

Percentage of component B in liquid, P_{L} = 25%

Percentage of component B in solid, P_{S} = 70%

Step 2

The total mass of the alloy is the sum of the masses of the alloy that are in liquid and solid phase.

Here,

ML = mass of alloy in liquid phase

MS = mass of alloy in solid phase

Substitute the value of total mass in the above equation,

The mass of alloy in liquid and solid phase is calculated by the percentages of component B in each phase using the following equation:

Substitute the respective percentages of component B and the total mass of the alloy in the above equation,

From equation (1) and (2),

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