Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method Calculator

✖Decay Constant for Rb-87 to Sr-87 gives proportionality between the size of a population of radioactive atoms and the rate at which the population decreases because of radioactive decay.ⓘ Decay Constant for Rb-87 to Sr-87 [λ]			+10% -10%
✖Ratio of Sr-87/Sr-86 at Time t is the quantitative relation between Sr-87 and Sr-86 at time t.ⓘ Ratio of Sr-87/Sr-86 at Time t [R_Sr-87:Sr-86]			+10% -10%
✖Initial Ratio of Sr-87/Sr-86 is the quantitative relation between Sr-87 and Sr-86 at time t=0.ⓘ Initial Ratio of Sr-87/Sr-86 [R°_Sr-87:Sr-86]			+10% -10%
✖Ratio of Rb-87/Sr-86 at Time t gives the quantitative relation between Rb-87 and Sr-86 at time t.ⓘ Ratio of Rb-87/Sr-86 at Time t [R_Rb-87:Sr-86]			+10% -10%

✖Time taken provides us with the quantity of time at which we measure the conversion of Rb-87 to Sr-87.ⓘ Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method [t]

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Formula

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Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method

Formula

`"t" = 1/"λ"*(("R"_{"Sr-87:Sr-86"}-"R°"_{"Sr-87:Sr-86"})/"R"_{"Rb-87:Sr-86"})`

Example

`"4.2E^10Year"=1/"1.42E^-11/Year"*(("0.7025"-"0.7010")/"0.0025")`

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Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t = 1/λ*((R_Sr-87:Sr-86-R°_Sr-87:Sr-86)/R_Rb-87:Sr-86)
This formula uses 5 Variables

Variables Used

Time taken - (Measured in Second) - Time taken provides us with the quantity of time at which we measure the conversion of Rb-87 to Sr-87.
Decay Constant for Rb-87 to Sr-87 - (Measured in 1 Per Second) - Decay Constant for Rb-87 to Sr-87 gives proportionality between the size of a population of radioactive atoms and the rate at which the population decreases because of radioactive decay.
Ratio of Sr-87/Sr-86 at Time t - Ratio of Sr-87/Sr-86 at Time t is the quantitative relation between Sr-87 and Sr-86 at time t.
Initial Ratio of Sr-87/Sr-86 - Initial Ratio of Sr-87/Sr-86 is the quantitative relation between Sr-87 and Sr-86 at time t=0.
Ratio of Rb-87/Sr-86 at Time t - Ratio of Rb-87/Sr-86 at Time t gives the quantitative relation between Rb-87 and Sr-86 at time t.

STEP 1: Convert Input(s) to Base Unit

Decay Constant for Rb-87 to Sr-87: 1.42E-11 1 Per Year --> 4.49980086796722E-19 1 Per Second (Check conversion here)
Ratio of Sr-87/Sr-86 at Time t: 0.7025 --> No Conversion Required
Initial Ratio of Sr-87/Sr-86: 0.701 --> No Conversion Required
Ratio of Rb-87/Sr-86 at Time t: 0.0025 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = 1/λ*((R_Sr-87:Sr-86-R°_Sr-87:Sr-86)/R_Rb-87:Sr-86) --> 1/4.49980086796722E-19*((0.7025-0.701)/0.0025)

Evaluating ... ...

t = 1.33339233802822E+18

STEP 3: Convert Result to Output's Unit

1.33339233802822E+18 Second -->42253521126.7622 Year (Check conversion here)

FINAL ANSWER

42253521126.7622 ≈ 4.2E+10 Year <-- Time taken

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Nuclear Chemistry » Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method

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< 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

Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method Formula

What is the Principle of Radiometric Dating?

Radioactive decay is described in terms of the probability that a constituent particle of the nucleus of an atom will escape through the potential (Energy) barrier which bonds them to the nucleus. The energies involved are so large, and the nucleus is so small that physical conditions in the Earth (i.e. T and P) cannot affect the rate of decay.
The rate of decay or rate of change of the number N of particles is proportional to the number present at any time, i.e.
dN/dt ∝ N
Note that dN/dt must be negative.
The proportionality constant is λ, the decay constant. So, we can write
dN/dt= -λN
On intergrating both sides followed by taking ln on both sides,
ln(N/No) = -λ(t - to)
At to=0,
N= N_oe^-λt

How to Calculate Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method?

Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method calculator uses 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) to calculate the Time taken, The Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method formula is defined as the method in which one can determine the age of a mineral or rock containing Rubidium-87. Time taken is denoted by t symbol.

How to calculate Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method using this online calculator? To use this online calculator for Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method, enter Decay Constant for Rb-87 to Sr-87 (λ), Ratio of Sr-87/Sr-86 at Time t (R_Sr-87:Sr-86), Initial Ratio of Sr-87/Sr-86 (R°_Sr-87:Sr-86) & Ratio of Rb-87/Sr-86 at Time t (R_Rb-87:Sr-86) and hit the calculate button. Here is how the Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method calculation can be explained with given input values -> 1338.961 = 1/4.49980086796722E-19*((0.7025-0.701)/0.0025).

FAQ

What is Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method?

The Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method formula is defined as the method in which one can determine the age of a mineral or rock containing Rubidium-87 and is represented as t = 1/λ*((R_Sr-87:Sr-86-R°_Sr-87:Sr-86)/R_Rb-87:Sr-86) or 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). Decay Constant for Rb-87 to Sr-87 gives proportionality between the size of a population of radioactive atoms and the rate at which the population decreases because of radioactive decay, Ratio of Sr-87/Sr-86 at Time t is the quantitative relation between Sr-87 and Sr-86 at time t, Initial Ratio of Sr-87/Sr-86 is the quantitative relation between Sr-87 and Sr-86 at time t=0 & Ratio of Rb-87/Sr-86 at Time t gives the quantitative relation between Rb-87 and Sr-86 at time t.

How to calculate Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method?

The Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method formula is defined as the method in which one can determine the age of a mineral or rock containing Rubidium-87 is calculated using 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). To calculate Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method, you need Decay Constant for Rb-87 to Sr-87 (λ), Ratio of Sr-87/Sr-86 at Time t (R_Sr-87:Sr-86), Initial Ratio of Sr-87/Sr-86 (R°_Sr-87:Sr-86) & Ratio of Rb-87/Sr-86 at Time t (R_Rb-87:Sr-86). With our tool, you need to enter the respective value for 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 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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