Radioactive Decay Calculator, Formula and Sample Problems

Radioactive Decay Calculator :

Radioactive decay calculator tool makes the calculation describes the Sample mass in grams(g),Molar mass of the substance in g/mol, Half-life in seconds(sec), and you get the calculation below the calculator.

Radioactive Decay Calculator

Radioactive Decay Formula :

Radioactive Decay formula N is equal to the initial quantity N0  and multiply the Euler’s number e λ and multiply the half life of the decaying quantity T(s)  in second. Hence the Radioactive Decay formula can be written as

N=N0 *e λT(s)

Where,

N0 → the initial quantity of the substance and N is the quantity still remained and yet decayed

T → half life of the decaying quantity

E → Euler’s number equal to 2.71828

Example: 1

Calculate the decay rate of carbon -18 ? In a Carbon-18 has a half life 6.840 years.

Solution :

Carbon-18 has a half life 6.840 years(t=6.840) we can use the formula

T1/2 =ln 2 / λ

λ =ln 2/ t1/2

=0.693/6.840

=0.1013

Example: 2

Calculate the decay rate of carbon -18 ? In a Carbon-20 has a half life 9.432years.

Solution :

Carbon-18 has a half life 9.432 years(t=9.432) we can use the formula

T1/2 =ln 2 / λ

λ =ln 2/ t1/2

=0.693/9.432

=0.07347

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