Rb-87 Half Life Calculation: 478 Bq/g

In summary, the conversation discusses how to calculate the half life of a radioisotope based on its activity and molar mass. It involves finding the number of Rb-87 atoms in a sample of rubidium chloride and then using the decay constant to determine the half life. The process involves solving a homework exercise and calculating the decay constant, which is defined as the number of decays per second in a radioactive material.
  • #1
Umang
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Homework Statement


Specific Activity of a sample of rubidium chloride is 478 Bq per gram
knowing that activity is coming from Rb-87, calculate the half life of radioisotope

- Molar mass of the RbCl natural is 120.9256 gram
- Isotope composition of natural Rb is 72.15% and 27.85% respectively for Rb -85 and Rb-87.

Homework Equations


Calculate Half life of radioisotope from mixture.

The Attempt at a Solution


First find the number of Rb-87 atoms in solution.
Find the decay constant
so we can get half life.
is this process is correct?
 
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  • #2
Umang said:
First find the number of Rb-87 atoms in solution.
Find the decay constant
so we can get half life.
is this process is correct?

how one will calculate the decay constant...pl.show some work done ...as its a homework exercise.
One becquerel is defined as the activity of a quantity of radioactive material in which one nucleus decays per second. The becquerel is therefore equivalent to an inverse second, s−1.
 

What is Rb-87?

Rb-87 is a radioactive isotope of the element rubidium with a mass number of 87. It is commonly used in scientific research and has a half-life of 478 Bq/g.

What is half-life?

Half-life is the amount of time it takes for half of the radioactive material in a sample to decay into a stable form. It is a measure of the stability of a radioactive element.

What does Bq/g mean?

Bq/g stands for becquerels per gram, which is a unit of measurement for the activity of a radioactive substance. It measures the number of decays per second per gram of a substance.

How is Rb-87 half-life calculated?

The half-life of Rb-87 is calculated by measuring the rate of decay of the isotope and using the equation T1/2 = ln2/λ, where T1/2 is the half-life, ln2 is the natural logarithm of 2, and λ is the decay constant.

Why is Rb-87 half-life important?

Rb-87 half-life is important because it helps scientists determine the age of rocks and minerals, as well as study the behavior and movement of chemicals in different environments. It also has important applications in medical imaging and nuclear power.

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