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Are searcher conducts electrochemical machining (ECM) on a binary alloy (density 6000 kg/m3) of iron (atomic weight 56, valency 2) and metal P (atomic weight 24, valency 4). Faraday's constant = 96500 coulomb/mole. Volumetric material removal rate of the alloy is 50 mm3/s at a current of 2000 A. The percentage of the metal P in the alloy is closest to
[2008]
- a)40
- b)25
- c)15
- d)79
Correct answer is option 'B'. Can you explain this answer?
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Are searcher conducts electrochemical machining (ECM) on a binary allo...
Given data:
p= 6000kg/m3=6gm/cr
MRR(Q)=50mm3/s
50x10-3 CC/S
p= 6000kg/m3=6gm/cr
MRR(Q)=50mm3/s
50x10-3 CC/S
Most Upvoted Answer
Are searcher conducts electrochemical machining (ECM) on a binary allo...
Given:
- Density of the binary alloy = 6000 kg/m3
- Atomic weight of iron (Fe) = 56
- Valency of iron = 2
- Atomic weight of metal P = 24
- Valency of metal P = 4
- Faraday's constant = 96500 C/mol
- Volumetric material removal rate = 50 mm3/s
- Current = 2000 A
To find:
The percentage of metal P in the alloy.
Solution:
The volumetric material removal rate (MRR) can be calculated using the formula:
MRR = (I * K * Q) / (ρ * A)
Where:
- I is the current in amperes (A)
- K is the electrochemical machining constant
- Q is the electrochemical equivalent of the material in mol/C
- ρ is the density of the material in kg/m3
- A is the atomic weight of the material in g/mol
Step 1: Calculate the atomic weight of the alloy.
The atomic weight of the alloy (Aalloy) can be calculated as the weighted average of the atomic weights of iron (AFe) and metal P (AP) based on their percentage composition:
Aalloy = (AP * %P + AFe * �) / 100
Since the alloy is a binary alloy, %P + � = 100.
Step 2: Calculate the electrochemical equivalent of the alloy.
The electrochemical equivalent of the alloy (Qalloy) can be calculated using the formula:
Qalloy = (QFe * � + QP * %P) / 100
Where:
- QFe is the electrochemical equivalent of iron in mol/C
- QP is the electrochemical equivalent of metal P in mol/C
Step 3: Calculate the percentage of metal P in the alloy.
The percentage of metal P in the alloy (%P) can be calculated using the formula:
%P = (Qalloy * 100) / (QP * Aalloy)
Substituting the values into the formulas:
- AFe = 56
- AP = 24
- � = 100 - %P
- QFe = (Faraday's constant) / (Valency of Fe)
- QP = (Faraday's constant) / (Valency of P)
Step 4: Substitute the given values and calculate the percentage of metal P.
Using the given values:
- Density of the alloy (ρ) = 6000 kg/m3
- Current (I) = 2000 A
- Volumetric material removal rate (MRR) = 50 mm3/s
Convert the MRR from mm3/s to m3/s:
MRR = 50 * 10^-9 m3/s
Substitute the values into the formula for MRR:
MRR = (I * K * Qalloy) / (ρ * Aalloy)
Solve the equation for Qalloy:
Qalloy = (MRR * ρ * Aalloy) / (I * K)
Substitute the calculated values of Aalloy and Qalloy into the formula for %P:
%P = (Qal
- Density of the binary alloy = 6000 kg/m3
- Atomic weight of iron (Fe) = 56
- Valency of iron = 2
- Atomic weight of metal P = 24
- Valency of metal P = 4
- Faraday's constant = 96500 C/mol
- Volumetric material removal rate = 50 mm3/s
- Current = 2000 A
To find:
The percentage of metal P in the alloy.
Solution:
The volumetric material removal rate (MRR) can be calculated using the formula:
MRR = (I * K * Q) / (ρ * A)
Where:
- I is the current in amperes (A)
- K is the electrochemical machining constant
- Q is the electrochemical equivalent of the material in mol/C
- ρ is the density of the material in kg/m3
- A is the atomic weight of the material in g/mol
Step 1: Calculate the atomic weight of the alloy.
The atomic weight of the alloy (Aalloy) can be calculated as the weighted average of the atomic weights of iron (AFe) and metal P (AP) based on their percentage composition:
Aalloy = (AP * %P + AFe * �) / 100
Since the alloy is a binary alloy, %P + � = 100.
Step 2: Calculate the electrochemical equivalent of the alloy.
The electrochemical equivalent of the alloy (Qalloy) can be calculated using the formula:
Qalloy = (QFe * � + QP * %P) / 100
Where:
- QFe is the electrochemical equivalent of iron in mol/C
- QP is the electrochemical equivalent of metal P in mol/C
Step 3: Calculate the percentage of metal P in the alloy.
The percentage of metal P in the alloy (%P) can be calculated using the formula:
%P = (Qalloy * 100) / (QP * Aalloy)
Substituting the values into the formulas:
- AFe = 56
- AP = 24
- � = 100 - %P
- QFe = (Faraday's constant) / (Valency of Fe)
- QP = (Faraday's constant) / (Valency of P)
Step 4: Substitute the given values and calculate the percentage of metal P.
Using the given values:
- Density of the alloy (ρ) = 6000 kg/m3
- Current (I) = 2000 A
- Volumetric material removal rate (MRR) = 50 mm3/s
Convert the MRR from mm3/s to m3/s:
MRR = 50 * 10^-9 m3/s
Substitute the values into the formula for MRR:
MRR = (I * K * Qalloy) / (ρ * Aalloy)
Solve the equation for Qalloy:
Qalloy = (MRR * ρ * Aalloy) / (I * K)
Substitute the calculated values of Aalloy and Qalloy into the formula for %P:
%P = (Qal
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Are searcher conducts electrochemical machining (ECM) on a binary alloy (density 6000 kg/m3) of iron (atomic weight 56, valency 2) and metal P (atomic weight 24, valency 4). Faradays constant = 96500 coulomb/mole. Volumetric material removal rate of the alloy is 50 mm3/s at a current of 2000 A. The percentage of the metal P in the alloy is closest to[2008]a)40b)25c)15d)79Correct answer is option 'B'. Can you explain this answer?
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Are searcher conducts electrochemical machining (ECM) on a binary alloy (density 6000 kg/m3) of iron (atomic weight 56, valency 2) and metal P (atomic weight 24, valency 4). Faradays constant = 96500 coulomb/mole. Volumetric material removal rate of the alloy is 50 mm3/s at a current of 2000 A. The percentage of the metal P in the alloy is closest to[2008]a)40b)25c)15d)79Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Are searcher conducts electrochemical machining (ECM) on a binary alloy (density 6000 kg/m3) of iron (atomic weight 56, valency 2) and metal P (atomic weight 24, valency 4). Faradays constant = 96500 coulomb/mole. Volumetric material removal rate of the alloy is 50 mm3/s at a current of 2000 A. The percentage of the metal P in the alloy is closest to[2008]a)40b)25c)15d)79Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Are searcher conducts electrochemical machining (ECM) on a binary alloy (density 6000 kg/m3) of iron (atomic weight 56, valency 2) and metal P (atomic weight 24, valency 4). Faradays constant = 96500 coulomb/mole. Volumetric material removal rate of the alloy is 50 mm3/s at a current of 2000 A. The percentage of the metal P in the alloy is closest to[2008]a)40b)25c)15d)79Correct answer is option 'B'. Can you explain this answer?.
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