Inverse Isotope Dilution Analysis (IIDA) Calculator

✖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.ⓘ Amount of Inactive Isotope of Same Compound [y']			+10% -10%
✖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 Mixed Compound [S_f]			+10% -10%
✖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.ⓘ Specific Activity of Pure Labelled Compound [S_i]			+10% -10%

✖Unknown Amount of Active Compound gives the amount of radioactive substance initially present in the sample to be analyzed.ⓘ Inverse Isotope Dilution Analysis (IIDA) [x']

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Inverse Isotope Dilution Analysis (IIDA)

Formula

`"x'" = "y'"*("S"_{"f"}/("S"_{"i"}-"S"_{"f"}))`

Example

`"5.1E^-7g"="0.0000002g"*("1800Bq/g"/("2500Bq/g"-"1800Bq/g"))`

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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'*(S_f/(S_i-S_f))
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'*(S_f/(S_i-S_f)) --> 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 00.020 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

Inverse Isotope Dilution Analysis (IIDA) 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 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 (S_f) & Specific Activity of Pure Labelled Compound (S_i) 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'*(S_f/(S_i-S_f)) 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 (S_f) & Specific Activity of Pure Labelled Compound (S_i). 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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