Population after N Half Lives Calculator

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✖Number of Particles in Sample Initially is the total number of particles in the sample present initially.ⓘ Number of Particles in Sample Initially [N_o]			+10% -10%
✖Number of Half Lives is the total number of half lives during a nuclear decay.ⓘ Number of Half Lives [n]			+10% -10%

✖Number of Particles at Time t is the total number of particles remaining in the sample after decay.ⓘ Population after N Half Lives [N_t]

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Formula

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Population after N Half Lives

Formula

`"N"_{"t"} = "N"_{"o"}/(2^("n"))`

Example

`"1.5625"="50"/(2^("5"))`

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Population after N Half Lives Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives))
N_t = N_o/(2^(n))
This formula uses 3 Variables

Variables Used

Number of Particles at Time t - Number of Particles at Time t is the total number of particles remaining in the sample after decay.
Number of Particles in Sample Initially - Number of Particles in Sample Initially is the total number of particles in the sample present initially.
Number of Half Lives - Number of Half Lives is the total number of half lives during a nuclear decay.

STEP 1: Convert Input(s) to Base Unit

Number of Particles in Sample Initially: 50 --> No Conversion Required
Number of Half Lives: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_t = N_o/(2^(n)) --> 50/(2^(5))

Evaluating ... ...

N_t = 1.5625

STEP 3: Convert Result to Output's Unit

1.5625 --> No Conversion Required

FINAL ANSWER

1.5625 <-- Number of Particles at Time t

(Calculation completed in 00.020 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

Population after N Half Lives Formula

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

How is radioactive decay measured?

Those that decay are called radioactive (or parent) isotopes; those that are generated by decay are called radiogenic (or daughter) isotopes. The unit that we use to measure time is called half-life and it has to do with the time it takes for half of the radioactive isotopes to decay

How to Calculate Population after N Half Lives?

Population after N Half Lives calculator uses Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives)) to calculate the Number of Particles at Time t, The Population after n Half Lives formula is defined as the remaining value of the population after n half lives. As half life is the time required for half of the original population of radioactive atoms to decay. Number of Particles at Time t is denoted by N_t symbol.

How to calculate Population after N Half Lives using this online calculator? To use this online calculator for Population after N Half Lives, enter Number of Particles in Sample Initially (N_o) & Number of Half Lives (n) and hit the calculate button. Here is how the Population after N Half Lives calculation can be explained with given input values -> 1.5625 = 50/(2^(5)).

FAQ

What is Population after N Half Lives?

The Population after n Half Lives formula is defined as the remaining value of the population after n half lives. As half life is the time required for half of the original population of radioactive atoms to decay and is represented as N_t = N_o/(2^(n)) or Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives)). Number of Particles in Sample Initially is the total number of particles in the sample present initially & Number of Half Lives is the total number of half lives during a nuclear decay.

How to calculate Population after N Half Lives?

The Population after n Half Lives formula is defined as the remaining value of the population after n half lives. As half life is the time required for half of the original population of radioactive atoms to decay is calculated using Number of Particles at Time t = Number of Particles in Sample Initially/(2^(Number of Half Lives)). To calculate Population after N Half Lives, you need Number of Particles in Sample Initially (N_o) & Number of Half Lives (n). With our tool, you need to enter the respective value for Number of Particles in Sample Initially & Number of Half Lives and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Number of Particles at Time t?

In this formula, Number of Particles at Time t uses Number of Particles in Sample Initially & Number of Half Lives. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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