Sub-Stoichiometric Isotope Dilution Analysis (SSIA) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Amount of Compound in Unknown Solution = Amount of Compound in Stock Solution*((Specific Activity of Stock Solution-Specific Activity of Mixed Solution)/Specific Activity of Mixed Solution)
m2 = m1*((S1-S2)/S2)
This formula uses 4 Variables
Variables Used
Amount of Compound in Unknown Solution - (Measured in Kilogram) - Amount of Compound in Unknown Solution gives the quantity of the compound found in an unknown solution.
Amount of Compound in Stock Solution - (Measured in Kilogram) - Amount of Compound in Stock Solution gives the quantity of the species found in a original stock solution.
Specific Activity of Stock Solution - (Measured in Becquerel per Kilogram) - Specific Activity of Stock Solution is the activity per unit mass of a radionuclide of the known stock solution.
Specific Activity of Mixed Solution - (Measured in Becquerel per Kilogram) - Specific Activity of Mixed Solution is is the activity per unit mass of a radionuclide of the sample solution containing both the unknown solution and the known labelled solution (m1+ m2).
STEP 1: Convert Input(s) to Base Unit
Amount of Compound in Stock Solution: 4E-05 Gram --> 4E-08 Kilogram (Check conversion ​here)
Specific Activity of Stock Solution: 3400 Becquerel per Gram --> 3400000 Becquerel per Kilogram (Check conversion ​here)
Specific Activity of Mixed Solution: 3000 Becquerel per Gram --> 3000000 Becquerel per Kilogram (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m2 = m1*((S1-S2)/S2) --> 4E-08*((3400000-3000000)/3000000)
Evaluating ... ...
m2 = 5.33333333333333E-09
STEP 3: Convert Result to Output's Unit
5.33333333333333E-09 Kilogram -->5.33333333333333E-06 Gram (Check conversion ​here)
FINAL ANSWER
5.33333333333333E-06 5.3E-6 Gram <-- Amount of Compound in Unknown Solution
(Calculation completed in 00.004 seconds)

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Sub-Stoichiometric Isotope Dilution Analysis (SSIA) Formula

​LaTeX ​Go
Amount of Compound in Unknown Solution = Amount of Compound in Stock Solution*((Specific Activity of Stock Solution-Specific Activity of Mixed Solution)/Specific Activity of Mixed Solution)
m2 = m1*((S1-S2)/S2)

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 Sub-Stoichiometric Isotope Dilution Analysis (SSIA)?

Sub-Stoichiometric Isotope Dilution Analysis (SSIA) calculator uses Amount of Compound in Unknown Solution = Amount of Compound in Stock Solution*((Specific Activity of Stock Solution-Specific Activity of Mixed Solution)/Specific Activity of Mixed Solution) to calculate the Amount of Compound in Unknown Solution, The Sub-Stoichiometric Isotope Dilution Analysis (SSIA) formula in which equal amounts of a reagent capable of converting the irradiated element and its isotopic carrier to an easily-separable form are added to the prepared sample and to the standard, but the reagent is sufficient to react with only a part of the element and carrier which is present. By this means the specific activities of the extracts or precipitates are made proportional to the total activities, and the determination of the absolute chemical yield of the separation is rendered unnecessary. Amount of Compound in Unknown Solution is denoted by m2 symbol.

How to calculate Sub-Stoichiometric Isotope Dilution Analysis (SSIA) using this online calculator? To use this online calculator for Sub-Stoichiometric Isotope Dilution Analysis (SSIA), enter Amount of Compound in Stock Solution (m1), Specific Activity of Stock Solution (S1) & Specific Activity of Mixed Solution (S2) and hit the calculate button. Here is how the Sub-Stoichiometric Isotope Dilution Analysis (SSIA) calculation can be explained with given input values -> 0.005333 = 4E-08*((3400000-3000000)/3000000).

FAQ

What is Sub-Stoichiometric Isotope Dilution Analysis (SSIA)?
The Sub-Stoichiometric Isotope Dilution Analysis (SSIA) formula in which equal amounts of a reagent capable of converting the irradiated element and its isotopic carrier to an easily-separable form are added to the prepared sample and to the standard, but the reagent is sufficient to react with only a part of the element and carrier which is present. By this means the specific activities of the extracts or precipitates are made proportional to the total activities, and the determination of the absolute chemical yield of the separation is rendered unnecessary and is represented as m2 = m1*((S1-S2)/S2) or Amount of Compound in Unknown Solution = Amount of Compound in Stock Solution*((Specific Activity of Stock Solution-Specific Activity of Mixed Solution)/Specific Activity of Mixed Solution). Amount of Compound in Stock Solution gives the quantity of the species found in a original stock solution, Specific Activity of Stock Solution is the activity per unit mass of a radionuclide of the known stock solution & Specific Activity of Mixed Solution is is the activity per unit mass of a radionuclide of the sample solution containing both the unknown solution and the known labelled solution (m1+ m2).
How to calculate Sub-Stoichiometric Isotope Dilution Analysis (SSIA)?
The Sub-Stoichiometric Isotope Dilution Analysis (SSIA) formula in which equal amounts of a reagent capable of converting the irradiated element and its isotopic carrier to an easily-separable form are added to the prepared sample and to the standard, but the reagent is sufficient to react with only a part of the element and carrier which is present. By this means the specific activities of the extracts or precipitates are made proportional to the total activities, and the determination of the absolute chemical yield of the separation is rendered unnecessary is calculated using Amount of Compound in Unknown Solution = Amount of Compound in Stock Solution*((Specific Activity of Stock Solution-Specific Activity of Mixed Solution)/Specific Activity of Mixed Solution). To calculate Sub-Stoichiometric Isotope Dilution Analysis (SSIA), you need Amount of Compound in Stock Solution (m1), Specific Activity of Stock Solution (S1) & Specific Activity of Mixed Solution (S2). With our tool, you need to enter the respective value for Amount of Compound in Stock Solution, Specific Activity of Stock Solution & Specific Activity of Mixed Solution 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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