For alloys of two hypothetical metals a and b

Asked by maham237 @ 18/02/2021 in Engineering viewed by 545 People

For alloys of two hypothetical metals A and B, there exist an ?, A-rich phase and a ?, B-rich phase.
From the mass fractions of both phases for two different alloys (given below), which are at the same temperature, determine the composition of the phase boundary (or solubility limit) for the following:

alloy composition fraction \alpha phase fraction \beta phase
60 wt% A - 40 wt% b 0.59 0.41
30 wt% A - 70 wt% b 0.14 0.86

Answered by maham237 @ 18/02/2021

Answer:

46 and 20.67% wt A

Explanation:

Using.

W = (Cb - C)/(Cb - Ca)

Where

0.59 = (Cb - 60/(Cb - Ca) -- (1)

0.14 = (Cb - 30)/(Cb - Ca) ---- (2)

From (1)

(Cb - Ca)0.59 = Cb - 60

0.59Cb - 0.59Ca = Cb - 60

1.59Cb = 60 - 0.59Ca

From (2)

(Cb - Ca)0.14 = Cb - 30

0.14Cb - 0.14Ca = Cb - 30

1.14Cb = 30 - 0.14Ca

Cb = (30 - 0.14Ca)/1.14

Substitute (30 - 0.14Ca)/1.14 for Cb

1.59(30 - 0.14Ca)/1.14 = 60 - 0.59Ca

47.7 - 0.2226Ca = 1.14 * 60 - 1.14 * 0.59Ca

47.7 - 0.2226Ca = 68.4 - 0.6726Ca

47.7 - 68.4 =- 0.6726Ca + 0.2226Ca

-0.45Ca = -20.7

Ca = -20.7/-0.45

Ca = 46

Cb = (30 - 0.14Ca)/1.14

Cb = 30 - 0.14 * 46)/1.14

Cb = 20.67

Consider a cylindrical specimen of some hypothetical metal alloy

Asked by maham237 @ 06/01/2021 in Physics viewed by 300 persons

Consider a cylindrical specimen of some hypothetical metal alloy that has a diameter of 8.0 mm (0.31 in.). A tensile force of 1000 N (225 lbf) produces an elastic reduction …

Two wires a and b of same material

Asked by admin @ 29/08/2021 in Physics viewed by 317 persons

Two wires A and B are of the same material. Their lengths are in the ratio of 1 : 2 and the diameter are in the ratio 2 : 1. …

A wall has two layers a and b

Asked by admin @ 26/08/2021 in Physics viewed by 340 persons

A wall has two layers A and B of equal areas. Their thicknesses are 10 cm and 20cm.Conductivity of A is twice that of B. Underthermal equilibrium, if …

Two uniform metal rods of length l1 and l2

Asked by admin @ 17/08/2021 in Physics viewed by 308 persons

Two uniform metal rods of length L1, and L2, and their linear coefficients of expansion alpha1 , and alpha 2. respectively, are connected to form a single rod of length …

In stainless steel alloy iron metal is mixed with

Asked by admin @ 17/08/2021 in Chemistry viewed by 292 persons

In stainless steel alloy, iron metal is mixed with (a) Cu and Cr (b) Cr and Ni (c) Cr and Sn (d) Cu and Ni

The atomic weight of two elements a and b

Asked by admin @ 17/08/2021 in Chemistry viewed by 349 persons

the atomic mass of two elements A and B are 20 and 40 respectively if Xg of A contains Y atoms how many atoms are present in 2Xg of B

Name two metals which are used to make jewellery

Asked by admin @ 17/08/2021 in Science viewed by 365 persons

Name two metals which are used to make Jewellery

Two pieces of metal when immersed in a liquid

Asked by admin @ 16/08/2021 in Science viewed by 281 persons

If two pieces of metal when immersed in a liquid have equal uptrust on them then:- (a)both pieces must have equal weight (b)both pieces must have equal volumes

Two wires a and b are of same material

Asked by admin @ 13/08/2021 in Physics viewed by 771 persons

Two wires A and B are of the same material. Their lengths are in the ratio of 1 : 2 and the diameter are in the ratio 2 : 1. …

Two gases a and b having the same volume

Asked by admin @ 13/08/2021 in Science viewed by 316 persons

Two gases A and B having the same volume diffuse through a porous partition in 20 and 10 seconds respectively. The molecular mass of A is 49 u. Molecular mass …

Two wires a and b of the same material

Asked by admin @ 13/08/2021 in Physics viewed by 319 persons

Two wires A and B are of the same material. Their lengths are in the ratio of 1 : 2 and the diameter are in the ratio 2 : 1. …

Two masses a and b of 10kg and 5kg

Asked by admin @ 13/08/2021 in Physics viewed by 305 persons

Two masses a and b of 10 kg and 5 kg respectively are connected with a string passing over frictionless pulley fixed at the corner of a table as shown. …

A non metal x exists in two different forms

Asked by admin @ 12/08/2021 in Science viewed by 355 persons

A non metal X exists in two different forms Y and Z . Y is the hardest natural substance , whereas Z is the good conductor of electricity . Identify …