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*((RSr-87:Sr-86-Sr-87:Sr-86)/RRb-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*((RSr-87:Sr-86-R°Sr-87:Sr-86)/RRb-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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Determination of Age of Minerals and Rocks using Rubidium-87/ Strontium Method Formula

​LaTeX ​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)
t = 1/λ*((RSr-87:Sr-86-Sr-87:Sr-86)/RRb-87:Sr-86)

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= Noe-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 (RSr-87:Sr-86), Initial Ratio of Sr-87/Sr-86 (R°Sr-87:Sr-86) & Ratio of Rb-87/Sr-86 at Time t (RRb-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*((RSr-87:Sr-86-R°Sr-87:Sr-86)/RRb-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 (RSr-87:Sr-86), Initial Ratio of Sr-87/Sr-86 (R°Sr-87:Sr-86) & Ratio of Rb-87/Sr-86 at Time t (RRb-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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