Electrochemical Equivalent of Work given Volumetric Material Removal Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current)
e = Zr*ρ/(ηe*I)
This formula uses 5 Variables
Variables Used
Electrochemical Equivalent - (Measured in Kilogram Per Coulomb) - The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.
Metal Removal Rate - (Measured in Cubic Meter per Second) - Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.
Work Piece Density - (Measured in Kilogram per Cubic Meter) - The Work Piece Density is the mass per unit volume ratio of the material of workpiece.
Current Efficiency in Decimal - Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law.
Electric Current - (Measured in Ampere) - Electric current is the rate of flow of electric charge through a circuit, measured in amperes.
STEP 1: Convert Input(s) to Base Unit
Metal Removal Rate: 38 Cubic Millimeter per Second --> 3.8E-08 Cubic Meter per Second (Check conversion here)
Work Piece Density: 6861.065 Kilogram per Cubic Meter --> 6861.065 Kilogram per Cubic Meter No Conversion Required
Current Efficiency in Decimal: 0.9009 --> No Conversion Required
Electric Current: 1000 Ampere --> 1000 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = Zr*ρ/(ηe*I) --> 3.8E-08*6861.065/(0.9009*1000)
Evaluating ... ...
e = 2.89400011100011E-07
STEP 3: Convert Result to Output's Unit
2.89400011100011E-07 Kilogram Per Coulomb --> No Conversion Required
FINAL ANSWER
2.89400011100011E-07 2.9E-7 Kilogram Per Coulomb <-- Electrochemical Equivalent
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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National Institute of Technology (NIT), Srinagar
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13 Material Removal Rate Calculators

Electrochemical Equivalent of Work given Volumetric Material Removal Rate
Go Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current)
Density of Work Material given Volumetric Material Removal Rate
Go Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate
Volumetric Material Removal Rate
Go Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density
Material Removal Rate in ECM
Go Material Removal Rate = (Atomic Weight of Material*Electric Current)/([Faraday]*Valency)
Valency of Work Material
Go Valency = (Atomic Weight of Material*Electric Current)/(Material Removal Rate*[Faraday])
Atomic Weight of Work Material
Go Atomic Weight of Material = (Material Removal Rate*Valency*[Faraday])/Electric Current
Current Required for given MRR
Go Electric Current = (Material Removal Rate*Valency*[Faraday])/Atomic Weight of Material
Metal Removed by Mechanical Abrasion per Unit Time given Total Material Removal Rate
Go Metal Removal Rate Due to Mechanical Abrasion = Metal Removal Rate-Metal Removal Rate Due to Electrolysis
Metal Removal Rate Electrolytically Given Total Material Removal Rate
Go Metal Removal Rate Due to Electrolysis = Metal Removal Rate-Metal Removal Rate Due to Mechanical Abrasion
Total Material Removal Rate in Electrolytic Grinding
Go Metal Removal Rate = Metal Removal Rate Due to Electrolysis+Metal Removal Rate Due to Mechanical Abrasion
Area of Work Exposed to Electrolysis given Volumetric Material Removal Rate
Go Area of Penetration = Metal Removal Rate/Feed Speed
Volumetric Material Removal Rate given Tool Feed Speed
Go Metal Removal Rate = Feed Speed*Area of Penetration
Tool Feed Speed given Volumetric Material Removal Rate
Go Feed Speed = Metal Removal Rate/Area of Penetration

Electrochemical Equivalent of Work given Volumetric Material Removal Rate Formula

Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current)
e = Zr*ρ/(ηe*I)

Law of Electrolysis

Faraday’s first law of electrolysis states that “the mass of an element(W) liberated or deposited is proportional to the quantity of electric charge(Q) passed through the electrolyte during electrolysis”.

How to Calculate Electrochemical Equivalent of Work given Volumetric Material Removal Rate?

Electrochemical Equivalent of Work given Volumetric Material Removal Rate calculator uses Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current) to calculate the Electrochemical Equivalent, The Electrochemical Equivalent of Work given Volumetric Material Removal Rate is a method to determine the actual amount of metal flow per coulomb of charge provided. Electrochemical Equivalent is denoted by e symbol.

How to calculate Electrochemical Equivalent of Work given Volumetric Material Removal Rate using this online calculator? To use this online calculator for Electrochemical Equivalent of Work given Volumetric Material Removal Rate, enter Metal Removal Rate (Zr), Work Piece Density (ρ), Current Efficiency in Decimal e) & Electric Current (I) and hit the calculate button. Here is how the Electrochemical Equivalent of Work given Volumetric Material Removal Rate calculation can be explained with given input values -> 2.3E-7 = 3.8E-08*6861.065/(0.9009*1000).

FAQ

What is Electrochemical Equivalent of Work given Volumetric Material Removal Rate?
The Electrochemical Equivalent of Work given Volumetric Material Removal Rate is a method to determine the actual amount of metal flow per coulomb of charge provided and is represented as e = Zr*ρ/(ηe*I) or Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current). Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine, The Work Piece Density is the mass per unit volume ratio of the material of workpiece, Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law & Electric current is the rate of flow of electric charge through a circuit, measured in amperes.
How to calculate Electrochemical Equivalent of Work given Volumetric Material Removal Rate?
The Electrochemical Equivalent of Work given Volumetric Material Removal Rate is a method to determine the actual amount of metal flow per coulomb of charge provided is calculated using Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current). To calculate Electrochemical Equivalent of Work given Volumetric Material Removal Rate, you need Metal Removal Rate (Zr), Work Piece Density (ρ), Current Efficiency in Decimal e) & Electric Current (I). With our tool, you need to enter the respective value for Metal Removal Rate, Work Piece Density, Current Efficiency in Decimal & Electric Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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