Radioactive Half Life Calculator

↳

✖Mean Life Time is the average lifetime of an atomic nucleus in a radioactive sample.ⓘ Mean Life Time [ζ]

+10%

-10%

✖Radioactive Half Life is defined as the time required for a quantity of radioactive substance to decay to half of it's initial value.ⓘ Radioactive Half Life [T_1/2]

⎘ Copy

👎

Formula

✖

Radioactive Half Life

Formula

`"T"_{"1/2"} = 0.693*"ζ"`

Example

`"0.000201Year"=0.693*"0.00029Year"`

Calculator

LaTeX

Reset

👍

Download Chemistry Formula PDF

Radioactive Half Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radioactive Half Life = 0.693*Mean Life Time
T_1/2 = 0.693*ζ
This formula uses 2 Variables

Variables Used

Radioactive Half Life - (Measured in Second) - Radioactive Half Life is defined as the time required for a quantity of radioactive substance to decay to half of it's initial value.
Mean Life Time - (Measured in Second) - Mean Life Time is the average lifetime of an atomic nucleus in a radioactive sample.

STEP 1: Convert Input(s) to Base Unit

Mean Life Time: 0.00029 Year --> 9151.51608 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_1/2 = 0.693*ζ --> 0.693*9151.51608

Evaluating ... ...

T_1/2 = 6342.00064344

STEP 3: Convert Result to Output's Unit

6342.00064344 Second -->0.00020097 Year (Check conversion here)

FINAL ANSWER

0.00020097 ≈ 0.000201 Year <-- Radioactive Half Life

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Nuclear Chemistry » Radioactive Half Life

Credits

Created by Pracheta Trivedi

National Institute Of Technology Warangal (NITW), Warangal

Pracheta Trivedi has created this Calculator and 25+ more calculators!

Verified by Torsha_Paul

University of Calcutta (CU), Kolkata

Torsha_Paul has verified this Calculator and 10+ 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

Radioactive Half Life Formula

Radioactive Half Life = 0.693*Mean Life Time
T_1/2 = 0.693*ζ

What is Mean Life Time ?

The mean lifetime represents the average lifetime of an atomic nucleus in a radioactive sample. It is the time, calculated statistically, that a radioactive nucleus in a sample can exist without transforming itself into another one.

How to Calculate Radioactive Half Life?

Radioactive Half Life calculator uses Radioactive Half Life = 0.693*Mean Life Time to calculate the Radioactive Half Life, Radioactive Half Life is defined as the time required for a quantity of radioactive substance to decay to half of it's initial value. Radioactive Half Life is denoted by T_1/2 symbol.

How to calculate Radioactive Half Life using this online calculator? To use this online calculator for Radioactive Half Life, enter Mean Life Time (ζ) and hit the calculate button. Here is how the Radioactive Half Life calculation can be explained with given input values -> 8.8E-8 = 0.693*9151.51608.

FAQ

What is Radioactive Half Life?

Radioactive Half Life is defined as the time required for a quantity of radioactive substance to decay to half of it's initial value and is represented as T_1/2 = 0.693*ζ or Radioactive Half Life = 0.693*Mean Life Time. Mean Life Time is the average lifetime of an atomic nucleus in a radioactive sample.

How to calculate Radioactive Half Life?

Radioactive Half Life is defined as the time required for a quantity of radioactive substance to decay to half of it's initial value is calculated using Radioactive Half Life = 0.693*Mean Life Time. To calculate Radioactive Half Life, you need Mean Life Time (ζ). With our tool, you need to enter the respective value for Mean Life Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search