Mean Life Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Life Time = 1.446*Radioactive Half Life
ζ = 1.446*T1/2
This formula uses 2 Variables
Variables Used
Mean Life Time - (Measured in Second) - Mean Life Time is the average lifetime of an atomic nucleus in a radioactive sample.
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.
STEP 1: Convert Input(s) to Base Unit
Radioactive Half Life: 0.0002 Year --> 6311.3904 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ζ = 1.446*T1/2 --> 1.446*6311.3904
Evaluating ... ...
ζ = 9126.2705184
STEP 3: Convert Result to Output's Unit
9126.2705184 Second -->0.0002892 Year (Check conversion here)
FINAL ANSWER
0.0002892 0.000289 Year <-- Mean Life Time
(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 Qazi Muneeb
NIT Srinagar (NIT SRI), Srinagar, Kashmir
Qazi Muneeb has verified this Calculator and 2 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
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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)
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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

Mean Life Time Formula

Mean Life Time = 1.446*Radioactive Half Life
ζ = 1.446*T1/2

What is Mean Life Time ?

The mean lifetime τ of elements in an exponentially decaying assembly is equal to the reciprocal of the decay constant (cf. exponential decay). Thus, it is the time needed for the assembly to be reduced by a factor of e.

How to Calculate Mean Life Time?

Mean Life Time calculator uses Mean Life Time = 1.446*Radioactive Half Life to calculate the Mean Life Time, Mean life time formula is the average life time of all the nuclei of a particular unstable atomic species. Mean Life Time is denoted by ζ symbol.

How to calculate Mean Life Time using this online calculator? To use this online calculator for Mean Life Time, enter Radioactive Half Life (T1/2) and hit the calculate button. Here is how the Mean Life Time calculation can be explained with given input values -> 9.2E-12 = 1.446*6311.3904.

FAQ

What is Mean Life Time?
Mean life time formula is the average life time of all the nuclei of a particular unstable atomic species and is represented as ζ = 1.446*T1/2 or Mean Life Time = 1.446*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.
How to calculate Mean Life Time?
Mean life time formula is the average life time of all the nuclei of a particular unstable atomic species is calculated using Mean Life Time = 1.446*Radioactive Half Life. To calculate Mean Life Time, you need Radioactive Half Life (T1/2). With our tool, you need to enter the respective value for Radioactive Half Life 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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