Sub-Stoichiometric Isotope Dilution Analysis (SSIA) Calculator

✖Amount of Compound in Stock Solution gives the quantity of the species found in a original stock solution.ⓘ Amount of Compound in Stock Solution [m₁]			+10% -10%
✖Specific Activity of Stock Solution is the activity per unit mass of a radionuclide of the known stock solution.ⓘ Specific Activity of Stock Solution [S₁]			+10% -10%
✖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).ⓘ Specific Activity of Mixed Solution [S₂]			+10% -10%

✖Amount of Compound in Unknown Solution gives the quantity of the compound found in an unknown solution.ⓘ Sub-Stoichiometric Isotope Dilution Analysis (SSIA) [m₂]

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Sub-Stoichiometric Isotope Dilution Analysis (SSIA)

Formula

`"m"_{"2"} = "m"_{"1"}*(("S"_{"1"}-"S"_{"2"})/"S"_{"2"})`

Example

`"5.3E^-6g"="0.00004g"*(("3400Bq/g"-"3000Bq/g")/"3000Bq/g")`

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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 00.020 seconds)

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< 25 Nuclear Chemistry Calculators

Direct Isotope Dilution Analysis (DIDA)

Go Unknown Amount of Compound present in Sample = Labelled Compound present in Sample*((Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound)/Specific Activity of Mixed Compound)

Inverse Isotope Dilution Analysis (IIDA)

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))

Sub-Stoichiometric Isotope Dilution Analysis (SSIA)

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)

Age of Minerals and Rocks

Go Age of Mineral and Rocks = Total Number of Radiogenic Lead Atom/((1.54*(10^(-10))*Number of U-238 present in Mineral/Rock Sample)+(4.99*(10^(-11))*Number of Th-232 present in Mineral/Rock Sample))

Age of Plant or Animal

Go Age of Plant or Animal = (2.303/Disintegration Constant of 14C)*(log10(Activity of 14C in Original Animals or Plants/Activity of 14C in Old Wood or Animal Fossil))

Age of Minerals and Rocks containing Pure Thorium and Pb-208

Go Age of Mineral and Rocks for Pure Th/Pb-208 system = 46.2*(10^9)*log10(1+(1.116*Number of Pb-208 present in Mineral/Rock Sample)/Number of Th-232 present in Mineral/Rock Sample)

Age of Minerals and Rocks containing Pure Uranium and Pb-206

Go Age of Mineral and Rocks for Pure U/Pb-206 system = 15.15*(10^9)*log10(1+(1.158*Number of Pb-206 present in Mineral/Rock Sample)/Number of U-238 present in Mineral/Rock Sample)

Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method

Go Time taken = 1/Decay Constant for Rb-87 to Sr-87*((Ratio of Sr-87/Sr-86 at Time t-Initial Ratio of Sr-87/Sr-86)/Ratio of Rb-87/Sr-86 at Time t)

Threshold Kinetic Energy of Nuclear Reaction

Go Threshold Kinetic Energy of Nuclear Reaction = -(1+(Mass of Projectile Nuclei/Mass of Target Nuclei))*Reaction Energy

Neutron Activation Analysis (NAA)

Go Weight of Particular Element = Atomic Weight of Element/[Avaga-no]*Specific Activity at Time t

Amount of Substance left after n Half Lives

Go Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance

Packing Fraction (In Isotopic mass)

Go Packing Fraction in Isotopic mass = ((Atomic Isotopic Mass-Mass Number)*(10^4))/Mass Number

Specific Activity using Half Life

Go Specific Activity = (0.693*[Avaga-no])/(Radioactive Half Life*Atomic Weight of Nuclide)

Specific Activity of Isotope

Go Specific Activity = (Activity*[Avaga-no])/Atomic Weight of Nuclide

Q-value of Nuclear Reaction

Go Q Value of Nuclear Reaction = (Mass of Product-Mass of Reactant)*931.5*10^6

Amount of Substance Left after Three Half Lives

Go Amount of Substance Left After Three Half Lives = Initial Concentration of Radioactive Substance/8

Amount of Substance Left after Two Half Lives

Go Amount of Substance Left After Two Half Lives = (Initial Concentration of Radioactive Substance/4)

Molar Activity using Half Life

Go Molar Activity = (0.693*[Avaga-no])/(Radioactive Half Life)

Binding Energy Per Nucleon

Go Binding Energy per Nucleon = (Mass Defect*931.5)/Mass Number

Number of Half Lives

Go Number of Half Lives = Total Time/Half Life

Packing Fraction

Go Packing Fraction = Mass Defect/Mass Number

Molar Activity of Compound

Go Molar Activity = Activity*[Avaga-no]

Radius of Nuclei

Go Radius of Nuclei = (1.2*(10^-15))*((Mass Number)^(1/3))

Radioactive Half Life

Go Radioactive Half Life = 0.693*Mean Life Time

Mean Life Time

Go Mean Life Time = 1.446*Radioactive Half Life

Sub-Stoichiometric Isotope Dilution Analysis (SSIA) Formula

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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