A radioactive sample of radon has an activity of 2050 Bq. How many kg of radon are present?

Name: Problem 65, Chapter 29: College Physics
Uploaded: 2021-10-10T02:15:20-08:00
Duration: 2 min 55 s
Channel: Mayank Tripathi
Description: A radioactive sample of radon has an activity of 2050 Bq. How many kg of radon are present?

step 1 So in this question, it's given to us that a sample of radon has an activity of 2050 bequil. And

A radioactive sample of radon has an activity of 2050 Bq....

Key Concepts

Radioactive Decay

This concept refers to the process by which unstable nuclei lose energy by emitting radiation. It is a random process at the level of single atoms, but it leads to predictable and measurable decay rates when considering a collection of atoms. The decay process is quantified by parameters such as the half-life and decay constant.

Activity (Becquerels)

Activity is a measure of the rate of radioactive decay, defined as the number of disintegrations per unit time. Its SI unit is the becquerel (Bq), which corresponds to one disintegration per second. Activity provides a direct measure of the number of radioactive decays occurring in a sample over time.

Decay Constant and Half-Life

The decay constant is a probability rate at which a nucleus decays and is mathematically related to the half-life of the substance. The half-life is the period required for half the nuclei in a sample to decay. The relationship between the decay constant and the half-life is crucial in calculating the number of remaining atoms in a sample based on its activity.

Conversion from Number of Nuclei to Mass

Once the number of radioactive nuclei in a sample is determined from its activity using the decay constant, the conversion from the number of atoms to mass requires the use of Avogadro’s number and the molar mass of the substance. This conversion bridges the microscopic scale of atoms to the macroscopic scale of mass, enabling quantitative measurements in kilograms or grams.

Transcript

Please give Ace some feedback