Amount of Substance left after n Half Lives Calculator

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✖Number of Half Lives is defined as the total time needed for the disintegration of the substance which is divided by the half-life of the substance.ⓘ Number of Half Lives [n]			+10% -10%
✖Initial Concentration of Radioactive Substance is defined as the amount of substance that is taken initially at time = 0 of the reaction.ⓘ Initial Concentration of Radioactive Substance [N₀]			+10% -10%

✖Amount of substance left after n half lives is defined as the amount that is left after radioactive disintegration at time=t.ⓘ Amount of Substance left after n Half Lives [N_t(n)]

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Amount of Substance left after n Half Lives Solution

STEP 0: Pre-Calculation Summary

Formula Used

Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance
N_t(n) = ((1/2)^n)*N₀
This formula uses 3 Variables

Variables Used

Amount of Substance Left After n Half Lives - (Measured in Kilogram) - Amount of substance left after n half lives is defined as the amount that is left after radioactive disintegration at time=t.
Number of Half Lives - Number of Half Lives is defined as the total time needed for the disintegration of the substance which is divided by the half-life of the substance.
Initial Concentration of Radioactive Substance - (Measured in Kilogram) - Initial Concentration of Radioactive Substance is defined as the amount of substance that is taken initially at time = 0 of the reaction.

STEP 1: Convert Input(s) to Base Unit

Number of Half Lives: 4 --> No Conversion Required
Initial Concentration of Radioactive Substance: 26 Atomic Mass Unit --> 4.31740452048404E-26 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_t(n) = ((1/2)^n)*N₀ --> ((1/2)^4)*4.31740452048404E-26

Evaluating ... ...

N_t(n) = 2.69837782530253E-27

STEP 3: Convert Result to Output's Unit

2.69837782530253E-27 Kilogram -->1.625 Atomic Mass Unit (Check conversion here)

FINAL ANSWER

1.625 Atomic Mass Unit <-- Amount of Substance Left After n Half Lives

(Calculation completed in 00.004 seconds)

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Created by Pracheta Trivedi

National Institute Of Technology Warangal (NITW), Warangal

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National University of Judicial Science (NUJS), Kolkata

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< Nuclear Chemistry Calculators

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Mean Life Time

LaTeX Go Mean Life Time = 1.446*Radioactive Half Life

Amount of Substance left after n Half Lives Formula

LaTeX Go

Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance
N_t(n) = ((1/2)^n)*N₀

What is Radioactive Disintegration ?

Radioactive Disintegration is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive.

How to Calculate Amount of Substance left after n Half Lives?

Amount of Substance left after n Half Lives calculator uses Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance to calculate the Amount of Substance Left After n Half Lives, Amount of Substance Left after n Half Lives is defined as the amount that is left after radioactive disintegration at time (t). It is equal to the (1/2)n times the initial amount. Amount of Substance Left After n Half Lives is denoted by N_t(n) symbol.

How to calculate Amount of Substance left after n Half Lives using this online calculator? To use this online calculator for Amount of Substance left after n Half Lives, enter Number of Half Lives (n) & Initial Concentration of Radioactive Substance (N₀) and hit the calculate button. Here is how the Amount of Substance left after n Half Lives calculation can be explained with given input values -> 9.8E+26 = ((1/2)^4)*4.31740452048404E-26.

FAQ

What is Amount of Substance left after n Half Lives?

Amount of Substance Left after n Half Lives is defined as the amount that is left after radioactive disintegration at time (t). It is equal to the (1/2)n times the initial amount and is represented as N_t(n) = ((1/2)^n)*N₀ or Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance. Number of Half Lives is defined as the total time needed for the disintegration of the substance which is divided by the half-life of the substance & Initial Concentration of Radioactive Substance is defined as the amount of substance that is taken initially at time = 0 of the reaction.

How to calculate Amount of Substance left after n Half Lives?

Amount of Substance Left after n Half Lives is defined as the amount that is left after radioactive disintegration at time (t). It is equal to the (1/2)n times the initial amount is calculated using Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance. To calculate Amount of Substance left after n Half Lives, you need Number of Half Lives (n) & Initial Concentration of Radioactive Substance (N₀). With our tool, you need to enter the respective value for Number of Half Lives & Initial Concentration of Radioactive Substance 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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