Age of Minerals and Rocks containing Pure Thorium and Pb-208 Calculator

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✖Number of Pb-208 present in Mineral/Rock Sample is defined as the amount of lead-208 present in a given mineral/rock sample.ⓘ Number of Pb-208 present in Mineral/Rock Sample [Pb²⁰⁸]			+10% -10%
✖Number of Th-232 present in Mineral/Rock Sample is defined as the amount of thorium-232 present in a given mineral/rock sample.ⓘ Number of Th-232 present in Mineral/Rock Sample [Th²³²]			+10% -10%

✖Age of Mineral and Rocks for Pure Th/Pb-208 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 Thorium and Pb-208 [t_Th/Pb]

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Age of Minerals and Rocks containing Pure Thorium and Pb-208 Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t_Th/Pb = 46.2*(10^9)*log10(1+(1.116*Pb²⁰⁸)/Th²³²)
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 Th/Pb-208 system - (Measured in Year) - Age of Mineral and Rocks for Pure Th/Pb-208 system is defined as the amount of time that has passed since the creation of the sample mineral/rock.
Number of Pb-208 present in Mineral/Rock Sample - (Measured in Kilogram) - Number of Pb-208 present in Mineral/Rock Sample is defined as the amount of lead-208 present in a given mineral/rock sample.
Number of Th-232 present in Mineral/Rock Sample - (Measured in Kilogram) - Number of Th-232 present in Mineral/Rock Sample is defined as the amount of thorium-232 present in a given mineral/rock sample.

STEP 1: Convert Input(s) to Base Unit

Number of Pb-208 present in Mineral/Rock Sample: 0.0002 Milligram --> 2E-10 Kilogram (Check conversion here)
Number of Th-232 present in Mineral/Rock Sample: 0.0005 Milligram --> 5E-10 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_Th/Pb = 46.2*(10^9)*log10(1+(1.116*Pb²⁰⁸)/Th²³²) --> 46.2*(10^9)*log10(1+(1.116*2E-10)/5E-10)

Evaluating ... ...

t_Th/Pb = 7405324686.66551

STEP 3: Convert Result to Output's Unit

2.33689475681519E+17 Second -->7405324686.66551 Year (Check conversion here)

FINAL ANSWER

7405324686.66551 ≈ 7.4E+9 Year <-- Age of Mineral and Rocks for Pure Th/Pb-208 system

(Calculation completed in 00.004 seconds)

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Age of Minerals and Rocks containing Pure Thorium and Pb-208 Formula

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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 Thorium and Pb-208?

Age of Minerals and Rocks containing Pure Thorium and Pb-208 calculator uses 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) to calculate the Age of Mineral and Rocks for Pure Th/Pb-208 system, The Age of Minerals and Rocks containing Pure Thorium and Pb-208 formula is defined as formula is defined as the amount of time that has passed since the creation of the given mineral/rock sample containing pure thorium and lead-208. Age of Mineral and Rocks for Pure Th/Pb-208 system is denoted by t_Th/Pb symbol.

How to calculate Age of Minerals and Rocks containing Pure Thorium and Pb-208 using this online calculator? To use this online calculator for Age of Minerals and Rocks containing Pure Thorium and Pb-208, enter Number of Pb-208 present in Mineral/Rock Sample (Pb²⁰⁸) & Number of Th-232 present in Mineral/Rock Sample (Th²³²) and hit the calculate button. Here is how the Age of Minerals and Rocks containing Pure Thorium and Pb-208 calculation can be explained with given input values -> 234.6654 = 46.2*(10^9)*log10(1+(1.116*2E-10)/5E-10).

FAQ

What is Age of Minerals and Rocks containing Pure Thorium and Pb-208?

The Age of Minerals and Rocks containing Pure Thorium and Pb-208 formula is defined as formula is defined as the amount of time that has passed since the creation of the given mineral/rock sample containing pure thorium and lead-208 and is represented as t_Th/Pb = 46.2*(10^9)*log10(1+(1.116*Pb²⁰⁸)/Th²³²) or 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). Number of Pb-208 present in Mineral/Rock Sample is defined as the amount of lead-208 present in a given mineral/rock sample & Number of Th-232 present in Mineral/Rock Sample is defined as the amount of thorium-232 present in a given mineral/rock sample.

How to calculate Age of Minerals and Rocks containing Pure Thorium and Pb-208?

The Age of Minerals and Rocks containing Pure Thorium and Pb-208 formula is defined as formula is defined as the amount of time that has passed since the creation of the given mineral/rock sample containing pure thorium and lead-208 is calculated using 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). To calculate Age of Minerals and Rocks containing Pure Thorium and Pb-208, you need Number of Pb-208 present in Mineral/Rock Sample (Pb²⁰⁸) & Number of Th-232 present in Mineral/Rock Sample (Th²³²). With our tool, you need to enter the respective value for Number of Pb-208 present in Mineral/Rock Sample & Number of Th-232 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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