Age of Minerals and Rocks containing Pure Uranium and Pb-206 Calculator

✖Number of Pb-206 present in Mineral/Rock Sample is defined as the amount of lead-206 present in a given mineral/rock sample.ⓘ Number of Pb-206 present in Mineral/Rock Sample [Pb²⁰⁶]			+10% -10%
✖Number of U-238 present in Mineral/Rock Sample is defined as the amount of uranium-238 present in a given mineral/rock sample.ⓘ Number of U-238 present in Mineral/Rock Sample [U²³⁸]			+10% -10%

✖Age of Mineral and Rocks for Pure U/Pb-206 system is defined as the amount of time that has passed since the creation of the sample mineral/rock.ⓘ Age of Minerals and Rocks containing Pure Uranium and Pb-206 [t_U/Pb]

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Formula

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Age of Minerals and Rocks containing Pure Uranium and Pb-206

Formula

`"t"_{"U/Pb"} = 15.15*(10^9)*log10(1+(1.158*"Pb"^{"206"})/"U"^{"238"})`

Example

`"2E^9Year"=15.15*(10^9)*log10(1+(1.158*"0.600mg")/"2.00mg")`

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Age of Minerals and Rocks containing Pure Uranium and Pb-206 Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t_U/Pb = 15.15*(10^9)*log10(1+(1.158*Pb²⁰⁶)/U²³⁸)
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Age of Mineral and Rocks for Pure U/Pb-206 system - (Measured in Year) - Age of Mineral and Rocks for Pure U/Pb-206 system is defined as the amount of time that has passed since the creation of the sample mineral/rock.
Number of Pb-206 present in Mineral/Rock Sample - (Measured in Milligram) - Number of Pb-206 present in Mineral/Rock Sample is defined as the amount of lead-206 present in a given mineral/rock sample.
Number of U-238 present in Mineral/Rock Sample - (Measured in Milligram) - Number of U-238 present in Mineral/Rock Sample is defined as the amount of uranium-238 present in a given mineral/rock sample.

STEP 1: Convert Input(s) to Base Unit

Number of Pb-206 present in Mineral/Rock Sample: 0.6 Milligram --> 0.6 Milligram No Conversion Required
Number of U-238 present in Mineral/Rock Sample: 2 Milligram --> 2 Milligram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_U/Pb = 15.15*(10^9)*log10(1+(1.158*Pb²⁰⁶)/U²³⁸) --> 15.15*(10^9)*log10(1+(1.158*0.6)/2)

Evaluating ... ...

t_U/Pb = 1961872626.70239

STEP 3: Convert Result to Output's Unit

6.19107203109613E+16 Second -->1961872626.70239 Year (Check conversion here)

FINAL ANSWER

1961872626.70239 ≈ 2E+9 Year <-- Age of Mineral and Rocks for Pure U/Pb-206 system

(Calculation completed in 00.020 seconds)

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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

Age of Minerals and Rocks containing Pure Uranium and Pb-206 Formula

How to Determine the Age using Radioactive isotopes?

Each radioactive isotope decays with a characteristic rate which is invariable under all conditions of temperature, pressure and chemical environment. However, radioactivity being a statistical phenomenon, the invariability of the decay constant is assured only as long as large number of atoms are present; with this provision, radioisotopes can be looked upon as nature's atomic clocks recording the passage of time since the birth of the universe in terms of number of atoms decayed.
The basis of age determination by radioactive method depends on the the sample containing a radioisotope in equilibrium with it's stable product and of an age commensurate with the half-life.

How to Calculate Age of Minerals and Rocks containing Pure Uranium and Pb-206?

Age of Minerals and Rocks containing Pure Uranium and Pb-206 calculator uses 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) to calculate the Age of Mineral and Rocks for Pure U/Pb-206 system, The Age of Minerals and Rocks containing Pure Uranium and Pb-206 formula is defined as the amount of time that has passed since the creation of the given mineral/rock sample containing pure uranium and lead-206. Age of Mineral and Rocks for Pure U/Pb-206 system is denoted by t_U/Pb symbol.

How to calculate Age of Minerals and Rocks containing Pure Uranium and Pb-206 using this online calculator? To use this online calculator for Age of Minerals and Rocks containing Pure Uranium and Pb-206, enter Number of Pb-206 present in Mineral/Rock Sample (Pb²⁰⁶) & Number of U-238 present in Mineral/Rock Sample (U²³⁸) and hit the calculate button. Here is how the Age of Minerals and Rocks containing Pure Uranium and Pb-206 calculation can be explained with given input values -> 62.16927 = 15.15*(10^9)*log10(1+(1.158*6E-07)/2E-06).

FAQ

What is Age of Minerals and Rocks containing Pure Uranium and Pb-206?

The Age of Minerals and Rocks containing Pure Uranium and Pb-206 formula is defined as the amount of time that has passed since the creation of the given mineral/rock sample containing pure uranium and lead-206 and is represented as t_U/Pb = 15.15*(10^9)*log10(1+(1.158*Pb²⁰⁶)/U²³⁸) or 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). Number of Pb-206 present in Mineral/Rock Sample is defined as the amount of lead-206 present in a given mineral/rock sample & Number of U-238 present in Mineral/Rock Sample is defined as the amount of uranium-238 present in a given mineral/rock sample.

How to calculate Age of Minerals and Rocks containing Pure Uranium and Pb-206?

The Age of Minerals and Rocks containing Pure Uranium and Pb-206 formula is defined as the amount of time that has passed since the creation of the given mineral/rock sample containing pure uranium and lead-206 is calculated using 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). To calculate Age of Minerals and Rocks containing Pure Uranium and Pb-206, you need Number of Pb-206 present in Mineral/Rock Sample (Pb²⁰⁶) & Number of U-238 present in Mineral/Rock Sample (U²³⁸). With our tool, you need to enter the respective value for Number of Pb-206 present in Mineral/Rock Sample & Number of U-238 present in Mineral/Rock Sample 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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