Drop Lifetime given Diffusion Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time for Dropping Mercury = (Diffusion Current for Ilkovic Equation/(607*(No. of Electrons for Ilkovic Equation)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Concentration for Ilkovic Equation)))^6
t = (Id/(607*(n)*(mr)^(2/3)*(D)^(1/2)*(c)))^6
This formula uses 6 Variables
Variables Used
Time for Dropping Mercury - (Measured in Second) - Time for Dropping Mercury is defined as the lifetime of the drop of mercury in the electrode.
Diffusion Current for Ilkovic Equation - (Measured in Ampere) - Diffusion Current for Ilkovic Equation is defined as the actual diffusion of electroreducible ion from the bulk of the sample to the surface of the mercury droplet due to concentration gradient.
No. of Electrons for Ilkovic Equation - No. of Electrons for Ilkovic Equation is defined as the number of electrons exchanged in the electrode reaction.
Mass Flow Rate for Ilkovic Equation - (Measured in Kilogram per Second) - Mass Flow Rate for Ilkovic Equation is defined as the mass of liquid mercury passing per unit time.
Diffusion Coefficient for Ilkovic Equation - (Measured in Square Meter Per Second) - Diffusion Coefficient for Ilkovic Equation is defined as the diffusion coefficient of the polarizer in the medium.
Concentration for Ilkovic Equation - (Measured in Mole per Cubic Meter) - Concentration for Ilkovic Equation is defined as the concentration of the depolariser in the dropping mercury electrode.
STEP 1: Convert Input(s) to Base Unit
Diffusion Current for Ilkovic Equation: 32 Microampere --> 3.2E-05 Ampere (Check conversion ​here)
No. of Electrons for Ilkovic Equation: 2 --> No Conversion Required
Mass Flow Rate for Ilkovic Equation: 4 Milligram per Second --> 4E-06 Kilogram per Second (Check conversion ​here)
Diffusion Coefficient for Ilkovic Equation: 6.9E-06 Square Centimeter Per Second --> 6.9E-10 Square Meter Per Second (Check conversion ​here)
Concentration for Ilkovic Equation: 3 Millimole per Cubic Millimeter --> 3000000 Mole per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (Id/(607*(n)*(mr)^(2/3)*(D)^(1/2)*(c)))^6 --> (3.2E-05/(607*(2)*(4E-06)^(2/3)*(6.9E-10)^(1/2)*(3000000)))^6
Evaluating ... ...
t = 5.47107897223902E-36
STEP 3: Convert Result to Output's Unit
5.47107897223902E-36 Second --> No Conversion Required
FINAL ANSWER
5.47107897223902E-36 5.5E-36 Second <-- Time for Dropping Mercury
(Calculation completed in 00.008 seconds)

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Created by Ritacheta Sen
University of Calcutta (C.U), Kolkata
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Verified by Soupayan banerjee
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Polarography Calculators

No of Electrons given Diffusion Current
​ LaTeX ​ Go No. of Electrons for Ilkovic Equation = Diffusion Current for Ilkovic Equation/(607*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Time for Dropping Mercury)^(1/6)*(Concentration for Ilkovic Equation))
Diffusion Current
​ LaTeX ​ Go Diffusion Current for Ilkovic Equation = 607*(No. of Electrons for Ilkovic Equation)*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Time for Dropping Mercury)^(1/6)*(Concentration for Ilkovic Equation)
Diffusion Coefficient given Diffusion Current
​ LaTeX ​ Go Diffusion Coefficient for Ilkovic Equation = (Diffusion Current for Ilkovic Equation/(607*(No. of Electrons for Ilkovic Equation)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Time for Dropping Mercury)^(1/6)*(Concentration for Ilkovic Equation)))^2
Drop Lifetime given Diffusion Current
​ LaTeX ​ Go Time for Dropping Mercury = (Diffusion Current for Ilkovic Equation/(607*(No. of Electrons for Ilkovic Equation)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Concentration for Ilkovic Equation)))^6

Drop Lifetime given Diffusion Current Formula

​LaTeX ​Go
Time for Dropping Mercury = (Diffusion Current for Ilkovic Equation/(607*(No. of Electrons for Ilkovic Equation)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Concentration for Ilkovic Equation)))^6
t = (Id/(607*(n)*(mr)^(2/3)*(D)^(1/2)*(c)))^6

What do you mean by residual current and diffusion current in polarography ?

The current that flows in the absence of the depolarizer (i.e. due to the supporting
electrolyte) is called residual current. This has to be taken into consideration while
interpreting the polarograms.
It is the sum of the relatively larger condenser current (ic) and a very small faradic
current (if).
Migration Current is due to migration of cations from the bulk of the solution
towards cathode due to diffusive force, irrespective of concentration
gradient.

How to Calculate Drop Lifetime given Diffusion Current?

Drop Lifetime given Diffusion Current calculator uses Time for Dropping Mercury = (Diffusion Current for Ilkovic Equation/(607*(No. of Electrons for Ilkovic Equation)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Concentration for Ilkovic Equation)))^6 to calculate the Time for Dropping Mercury, The Drop Lifetime given Diffusion Current formula is defined as the time taken by the mercury to flow from the reservoir until it is replaced by a new drop. Time for Dropping Mercury is denoted by t symbol.

How to calculate Drop Lifetime given Diffusion Current using this online calculator? To use this online calculator for Drop Lifetime given Diffusion Current, enter Diffusion Current for Ilkovic Equation (Id), No. of Electrons for Ilkovic Equation (n), Mass Flow Rate for Ilkovic Equation (mr), Diffusion Coefficient for Ilkovic Equation (D) & Concentration for Ilkovic Equation (c) and hit the calculate button. Here is how the Drop Lifetime given Diffusion Current calculation can be explained with given input values -> 5.5E-36 = (3.2E-05/(607*(2)*(4E-06)^(2/3)*(6.9E-10)^(1/2)*(3000000)))^6.

FAQ

What is Drop Lifetime given Diffusion Current?
The Drop Lifetime given Diffusion Current formula is defined as the time taken by the mercury to flow from the reservoir until it is replaced by a new drop and is represented as t = (Id/(607*(n)*(mr)^(2/3)*(D)^(1/2)*(c)))^6 or Time for Dropping Mercury = (Diffusion Current for Ilkovic Equation/(607*(No. of Electrons for Ilkovic Equation)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Concentration for Ilkovic Equation)))^6. Diffusion Current for Ilkovic Equation is defined as the actual diffusion of electroreducible ion from the bulk of the sample to the surface of the mercury droplet due to concentration gradient, No. of Electrons for Ilkovic Equation is defined as the number of electrons exchanged in the electrode reaction, Mass Flow Rate for Ilkovic Equation is defined as the mass of liquid mercury passing per unit time, Diffusion Coefficient for Ilkovic Equation is defined as the diffusion coefficient of the polarizer in the medium & Concentration for Ilkovic Equation is defined as the concentration of the depolariser in the dropping mercury electrode.
How to calculate Drop Lifetime given Diffusion Current?
The Drop Lifetime given Diffusion Current formula is defined as the time taken by the mercury to flow from the reservoir until it is replaced by a new drop is calculated using Time for Dropping Mercury = (Diffusion Current for Ilkovic Equation/(607*(No. of Electrons for Ilkovic Equation)*(Mass Flow Rate for Ilkovic Equation)^(2/3)*(Diffusion Coefficient for Ilkovic Equation)^(1/2)*(Concentration for Ilkovic Equation)))^6. To calculate Drop Lifetime given Diffusion Current, you need Diffusion Current for Ilkovic Equation (Id), No. of Electrons for Ilkovic Equation (n), Mass Flow Rate for Ilkovic Equation (mr), Diffusion Coefficient for Ilkovic Equation (D) & Concentration for Ilkovic Equation (c). With our tool, you need to enter the respective value for Diffusion Current for Ilkovic Equation, No. of Electrons for Ilkovic Equation, Mass Flow Rate for Ilkovic Equation, Diffusion Coefficient for Ilkovic Equation & Concentration for Ilkovic Equation 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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