Direct Isotope Dilution Analysis (DIDA) Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
x = y*((Si-Sf)/Sf)
This formula uses 4 Variables
Variables Used
Unknown Amount of Compound present in Sample - (Measured in Kilogram) - Unknown Amount of Compound present in Sample is defined as the amount of unknown species present in a given large sample to be analyzed.
Labelled Compound present in Sample - (Measured in Kilogram) - Labelled Compound present in Sample is the amount of radioisotope of the same species as the unknown compound added to the sample to be analyzed.
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.
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).
STEP 1: Convert Input(s) to Base Unit
Labelled Compound present in Sample: 2E-05 Gram --> 2E-08 Kilogram (Check conversion ​here)
Specific Activity of Pure Labelled Compound: 2500 Becquerel per Gram --> 2500000 Becquerel per Kilogram (Check conversion ​here)
Specific Activity of Mixed Compound: 1800 Becquerel per Gram --> 1800000 Becquerel per Kilogram (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x = y*((Si-Sf)/Sf) --> 2E-08*((2500000-1800000)/1800000)
Evaluating ... ...
x = 7.77777777777778E-09
STEP 3: Convert Result to Output's Unit
7.77777777777778E-09 Kilogram -->7.77777777777778E-06 Gram (Check conversion ​here)
FINAL ANSWER
7.77777777777778E-06 7.8E-6 Gram <-- Unknown Amount of Compound present in Sample
(Calculation completed in 00.004 seconds)

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Direct Isotope Dilution Analysis (DIDA) Formula

​LaTeX ​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)
x = y*((Si-Sf)/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 Direct Isotope Dilution Analysis (DIDA)?

Direct Isotope Dilution Analysis (DIDA) calculator uses 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) to calculate the Unknown Amount of Compound present in Sample, The Direct Isotope Dilution Analysis (DIDA) formula is concerned with the determination of an unknown amount of a given species of matter mixed up in a large sample which cannot be otherwise analyzed conviniently. Unknown Amount of Compound present in Sample is denoted by x symbol.

How to calculate Direct Isotope Dilution Analysis (DIDA) using this online calculator? To use this online calculator for Direct Isotope Dilution Analysis (DIDA), enter Labelled Compound present in Sample (y), Specific Activity of Pure Labelled Compound (Si) & Specific Activity of Mixed Compound (Sf) and hit the calculate button. Here is how the Direct Isotope Dilution Analysis (DIDA) calculation can be explained with given input values -> 0.007778 = 2E-08*((2500000-1800000)/1800000).

FAQ

What is Direct Isotope Dilution Analysis (DIDA)?
The Direct Isotope Dilution Analysis (DIDA) formula is concerned with the determination of an unknown amount of a given species of matter mixed up in a large sample which cannot be otherwise analyzed conviniently and is represented as x = y*((Si-Sf)/Sf) or 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). Labelled Compound present in Sample is the amount of radioisotope of the same species as the unknown compound added to the sample to be analyzed, 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 Mixed Compound is defined as the is the activity per unit mass of a radionuclide of the given mixed compound (x+y).
How to calculate Direct Isotope Dilution Analysis (DIDA)?
The Direct Isotope Dilution Analysis (DIDA) formula is concerned with the determination of an unknown amount of a given species of matter mixed up in a large sample which cannot be otherwise analyzed conviniently is calculated using 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). To calculate Direct Isotope Dilution Analysis (DIDA), you need Labelled Compound present in Sample (y), Specific Activity of Pure Labelled Compound (Si) & Specific Activity of Mixed Compound (Sf). With our tool, you need to enter the respective value for Labelled Compound present in Sample, Specific Activity of Pure Labelled Compound & Specific Activity of Mixed 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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