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

Credits

Created by Pracheta Trivedi
National Institute Of Technology Warangal (NITW), Warangal
Pracheta Trivedi has created this Calculator and 25+ more calculators!
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 800+ more calculators!

25 Nuclear Chemistry Calculators

Direct Isotope Dilution Analysis (DIDA)
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)
Inverse Isotope Dilution Analysis (IIDA)
Go Unknown Amount of Active Compound = Amount of Inactive Isotope of Same Compound*(Specific Activity of Mixed Compound/(Specific Activity of Pure Labelled Compound-Specific Activity of Mixed Compound))
Sub-Stoichiometric Isotope Dilution Analysis (SSIA)
Go Amount of Compound in Unknown Solution = Amount of Compound in Stock Solution*((Specific Activity of Stock Solution-Specific Activity of Mixed Solution)/Specific Activity of Mixed Solution)
Age of Minerals and Rocks
Go Age of Mineral and Rocks = Total Number of Radiogenic Lead Atom/((1.54*(10^(-10))*Number of U-238 present in Mineral/Rock Sample)+(4.99*(10^(-11))*Number of Th-232 present in Mineral/Rock Sample))
Age of Plant or Animal
Go Age of Plant or Animal = (2.303/Disintegration Constant of 14C)*(log10(Activity of 14C in Original Animals or Plants/Activity of 14C in Old Wood or Animal Fossil))
Age of Minerals and Rocks containing Pure Thorium and Pb-208
Go Age of Mineral and Rocks for Pure Th/Pb-208 system = 46.2*(10^9)*log10(1+(1.116*Number of Pb-208 present in Mineral/Rock Sample)/Number of Th-232 present in Mineral/Rock Sample)
Age of Minerals and Rocks containing Pure Uranium and Pb-206
Go Age of Mineral and Rocks for Pure U/Pb-206 system = 15.15*(10^9)*log10(1+(1.158*Number of Pb-206 present in Mineral/Rock Sample)/Number of U-238 present in Mineral/Rock Sample)
Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method
Go Time taken = 1/Decay Constant for Rb-87 to Sr-87*((Ratio of Sr-87/Sr-86 at Time t-Initial Ratio of Sr-87/Sr-86)/Ratio of Rb-87/Sr-86 at Time t)
Threshold Kinetic Energy of Nuclear Reaction
Go Threshold Kinetic Energy of Nuclear Reaction = -(1+(Mass of Projectile Nuclei/Mass of Target Nuclei))*Reaction Energy
Neutron Activation Analysis (NAA)
Go Weight of Particular Element = Atomic Weight of Element/[Avaga-no]*Specific Activity at Time t
Amount of Substance left after n Half Lives
Go Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance
Packing Fraction (In Isotopic mass)
Go Packing Fraction in Isotopic mass = ((Atomic Isotopic Mass-Mass Number)*(10^4))/Mass Number
Specific Activity using Half Life
Go Specific Activity = (0.693*[Avaga-no])/(Radioactive Half Life*Atomic Weight of Nuclide)
Specific Activity of Isotope
Go Specific Activity = (Activity* [Avaga-no])/Atomic Weight of Nuclide
Q-value of Nuclear Reaction
Go Q Value of Nuclear Reaction = (Mass of Product-Mass of Reactant)*931.5*10^6
Amount of Substance Left after Three Half Lives
Go Amount of Substance Left After Three Half Lives = Initial Concentration of Radioactive Substance/8
Amount of Substance Left after Two Half Lives
Go Amount of Substance Left After Two Half Lives = (Initial Concentration of Radioactive Substance/4)
Molar Activity using Half Life
Go Molar Activity = (0.693*[Avaga-no])/(Radioactive Half Life)
Binding Energy Per Nucleon
Go Binding Energy per Nucleon = (Mass Defect*931.5)/Mass Number
Number of Half Lives
Go Number of Half Lives = Total Time/Half Life
Packing Fraction
Go Packing Fraction = Mass Defect/Mass Number
Molar Activity of Compound
Go Molar Activity = Activity*[Avaga-no]
Radius of Nuclei
Go Radius of Nuclei = (1.2*(10^-15))*((Mass Number)^(1/3))
Radioactive Half Life
Go Radioactive Half Life = 0.693*Mean Life Time
Mean Life Time
Go Mean Life Time = 1.446*Radioactive Half Life

Amount of Substance left after n Half Lives Formula

Amount of Substance Left After n Half Lives = ((1/2)^Number of Half Lives)*Initial Concentration of Radioactive Substance
Nt(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 Nt(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 Nt(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.
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!