Decay Rate Calculator

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✖The decay constant is its probability of decay per unit time.ⓘ Decay Constant [λ]			+10% -10%
✖Total Number of Particles in Sample is the the numerical value of particles present in the sample.ⓘ Total Number of Particles in Sample [N]			+10% -10%

✖The decay rate is the total activity and is the number of decays per unit time of a radioactive sample.ⓘ Decay Rate [D]

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Formula

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Decay Rate

Formula

`"D" = -"λ"*"N"`

Example

`"-26"=-"0.4Hz"*"65"`

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Decay Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Decay Rate = -Decay Constant*Total Number of Particles in Sample
D = -λ*N
This formula uses 3 Variables

Variables Used

Decay Rate - The decay rate is the total activity and is the number of decays per unit time of a radioactive sample.
Decay Constant - (Measured in Hertz) - The decay constant is its probability of decay per unit time.
Total Number of Particles in Sample - Total Number of Particles in Sample is the the numerical value of particles present in the sample.

STEP 1: Convert Input(s) to Base Unit

Decay Constant: 0.4 Hertz --> 0.4 Hertz No Conversion Required
Total Number of Particles in Sample: 65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = -λ*N --> -0.4*65

Evaluating ... ...

D = -26

STEP 3: Convert Result to Output's Unit

-26 --> No Conversion Required

FINAL ANSWER

-26 <-- Decay Rate

(Calculation completed in 00.006 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ more calculators!

< 11 Nucleus Calculators

Binding Energy

Go Binding Energy = (Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom)*[c]^2

Mass Defect

Go Mass Defect = Atomic Number*Mass of Proton+(Mass Number-Atomic Number)*Mass of Neutron-Mass of Atom

Population at Time t

Go Number of Particles at Time t = Number of Particles in Sample Initially*e^(-(Decay Constant*Time)/(3.156*10^7))

Population after N Half Lives

Go Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives))

Decay Rate

Go Decay Rate = -Decay Constant*Total Number of Particles in Sample

Nuclear Radius

Go Nuclear Radius = Radius of Nucleon*Mass Number^(1/3)

Change in Mass in Nuclear Reaction

Go Mass Defect = Mass Reactant-Mass Product

Q-Value

Go Q Value = Initial Energy-Final Energy

Half Life for Nuclear Decay

Go Half Life Period = 0.693/Decay Constant

Average Life

Go Average Life = 1/Decay Constant

Energy Released in Nuclear Reaction

Go Energy = Mass Defect*[c]^2

Decay Rate Formula

Decay Rate = -Decay Constant*Total Number of Particles in Sample
D = -λ*N

Is rate of decay constant?

The rate of decay remains constant throughout the decay process. There are three ways to show the exponential nature of half-life.

How to Calculate Decay Rate?

Decay Rate calculator uses Decay Rate = -Decay Constant*Total Number of Particles in Sample to calculate the Decay Rate, The Decay Rate formula is defined as is the total activity and is the number of decays per unit time of a radioactive sample. Decay Rate is denoted by D symbol.

How to calculate Decay Rate using this online calculator? To use this online calculator for Decay Rate, enter Decay Constant (λ) & Total Number of Particles in Sample (N) and hit the calculate button. Here is how the Decay Rate calculation can be explained with given input values -> -26 = -0.4*65.

FAQ

What is Decay Rate?

The Decay Rate formula is defined as is the total activity and is the number of decays per unit time of a radioactive sample and is represented as D = -λ*N or Decay Rate = -Decay Constant*Total Number of Particles in Sample. The decay constant is its probability of decay per unit time & Total Number of Particles in Sample is the the numerical value of particles present in the sample.

How to calculate Decay Rate?

The Decay Rate formula is defined as is the total activity and is the number of decays per unit time of a radioactive sample is calculated using Decay Rate = -Decay Constant*Total Number of Particles in Sample. To calculate Decay Rate, you need Decay Constant (λ) & Total Number of Particles in Sample (N). With our tool, you need to enter the respective value for Decay Constant & Total Number of Particles in Sample 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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