GATE ME 2022 Set 1 — Question 33
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Manufacturing Processes → Machining & Machine Tools → Non-Traditional Machining
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Question
Electrochemical machining operations are performed with tungsten as the tool, and copper and aluminum as two different workpiece materials. Properties of copper and aluminum are given in the table below.
Ignore overpotentials, and assume that current efficiency is 100% for both the workpiece materials. Under identical conditions, if the material removal rate (MRR) of copper is 100 mg/s, the MRR of aluminum will be ________________ mg/s (round-off to two decimal places).
| Material | Atomic mass (amu) | Valency | Density (g/cm) |
|---|---|---|---|
| Copper | 63 | 2 | 9 |
| Aluminum | 27 | 3 | 2.7 |
Correct answer
27 to 30
Solution
The material removal rate (MRR) in mass per unit time for electrochemical machining is given by Faraday's law: , where is the chemical equivalent weight, is the current, and is Faraday's constant.
The chemical equivalent weight is , where is the atomic mass and is the valency.
The chemical equivalent weight is , where is the atomic mass and is the valency.
1.For Copper (Cu): .
2.For Aluminum (Al): .
3.Under identical conditions (same current and efficiency ), the MRR is proportional to the equivalent weight: .
4. mg/s.
5.Rounding to two decimal places, mg/s.
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