Inverse Isotope Dilution Analysis (IIDA) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unknown Amount of Active Compound = Amount of Inactive Isotope of Same Compound*(Specific Activity of Mixed Compound/(Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound))
x' = y'*(Sf/(Si-Sf))
This formula uses 4 Variables
Variables Used
Unknown Amount of Active Compound - (Measured in Kilogram) - Unknown Amount of Active Compound gives the amount of radioactive substance initially present in the sample to be analyzed.
Amount of Inactive Isotope of Same Compound - (Measured in Kilogram) - Amount of Inactive Isotope of Same Compound gives the amount of non-radioactive isotope compound of the same substance present in the sample to be analyzed.
Specific Activity of Mixed Compound - (Measured in Becquerel per Kilogram) - Specific Activity of Mixed Compound is defined as the is the activity per unit mass of a radionuclide of the given mixed compound (x+y).
Specific Activity of Pure Labelled Compound - (Measured in Becquerel per Kilogram) - Specific Activity of Pure Labelled Compound is defined as the is the activity per unit mass of a radionuclide of the given pure labelled compound.
STEP 1: Convert Input(s) to Base Unit
Amount of Inactive Isotope of Same Compound: 2E-07 Gram --> 2E-10 Kilogram (Check conversion ​here)
Specific Activity of Mixed Compound: 1800 Becquerel per Gram --> 1800000 Becquerel per Kilogram (Check conversion ​here)
Specific Activity of Pure Labelled Compound: 2500 Becquerel per Gram --> 2500000 Becquerel per Kilogram (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x' = y'*(Sf/(Si-Sf)) --> 2E-10*(1800000/(2500000-1800000))
Evaluating ... ...
x' = 5.14285714285714E-10
STEP 3: Convert Result to Output's Unit
5.14285714285714E-10 Kilogram -->5.14285714285714E-07 Gram (Check conversion ​here)
FINAL ANSWER
5.14285714285714E-07 5.1E-7 Gram <-- Unknown Amount of Active Compound
(Calculation completed in 00.007 seconds)

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Inverse Isotope Dilution Analysis (IIDA) Formula

​LaTeX ​Go
Unknown Amount of Active Compound = Amount of Inactive Isotope of Same Compound*(Specific Activity of Mixed Compound/(Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound))
x' = y'*(Sf/(Si-Sf))

What is the Principle of Isotope Dilution Analysis?

The technique was first developed by Hevesy and Hobbie in 1930s consists of adding to the sample containing say x gram of species, y gram of labelled form of the same species having initial specific activity of Si. After thorough mixing, a small amount of the species is isolated from the mixture and it's final specific activity Sf is determined.
Sf is obviously less than Si. With just these two measurements the unknown amount of species (x) can be determined.

How to Calculate Inverse Isotope Dilution Analysis (IIDA)?

Inverse Isotope Dilution Analysis (IIDA) calculator uses Unknown Amount of Active Compound = Amount of Inactive Isotope of Same Compound*(Specific Activity of Mixed Compound/(Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound)) to calculate the Unknown Amount of Active Compound, The Inverse Isotope Dilution Analysis (IIDA) formula is used to determine the amount of a radioactive substance initially present in the sample to be analyzed. Unknown Amount of Active Compound is denoted by x' symbol.

How to calculate Inverse Isotope Dilution Analysis (IIDA) using this online calculator? To use this online calculator for Inverse Isotope Dilution Analysis (IIDA), enter Amount of Inactive Isotope of Same Compound (y'), Specific Activity of Mixed Compound (Sf) & Specific Activity of Pure Labelled Compound (Si) and hit the calculate button. Here is how the Inverse Isotope Dilution Analysis (IIDA) calculation can be explained with given input values -> 0.000514 = 2E-10*(1800000/(2500000-1800000)).

FAQ

What is Inverse Isotope Dilution Analysis (IIDA)?
The Inverse Isotope Dilution Analysis (IIDA) formula is used to determine the amount of a radioactive substance initially present in the sample to be analyzed and is represented as x' = y'*(Sf/(Si-Sf)) or Unknown Amount of Active Compound = Amount of Inactive Isotope of Same Compound*(Specific Activity of Mixed Compound/(Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound)). Amount of Inactive Isotope of Same Compound gives the amount of non-radioactive isotope compound of the same substance present in the sample to be analyzed, Specific Activity of Mixed Compound is defined as the is the activity per unit mass of a radionuclide of the given mixed compound (x+y) & Specific Activity of Pure Labelled Compound is defined as the is the activity per unit mass of a radionuclide of the given pure labelled compound.
How to calculate Inverse Isotope Dilution Analysis (IIDA)?
The Inverse Isotope Dilution Analysis (IIDA) formula is used to determine the amount of a radioactive substance initially present in the sample to be analyzed is calculated using Unknown Amount of Active Compound = Amount of Inactive Isotope of Same Compound*(Specific Activity of Mixed Compound/(Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound)). To calculate Inverse Isotope Dilution Analysis (IIDA), you need Amount of Inactive Isotope of Same Compound (y'), Specific Activity of Mixed Compound (Sf) & Specific Activity of Pure Labelled Compound (Si). With our tool, you need to enter the respective value for Amount of Inactive Isotope of Same Compound, Specific Activity of Mixed Compound & Specific Activity of Pure Labelled Compound 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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