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Answer :
The number of atoms of the radioactive isotope in the freshly prepared sample is approximately 1.85 x [tex]10^1^8[/tex] atoms.
How many atoms were present in the freshly prepared sample of the radioactive isotope?
To determine the number of atoms in the sample, we can use the concept of radioactive decay and the relationship between activity, time, and the decay constant. The activity of a radioactive substance decreases over time due to the decay of its atoms.
By comparing the initial activity (10000 Bq) with the activity after 4 hours (7000 Bq), we can calculate the fraction of remaining atoms. Assuming exponential decay, we can use the decay constant to find the number of atoms present in the sample.
Using the equation for radioactive decay, we find that the number of atoms in the freshly prepared sample is approximately 1.85 x [tex]10^1^8[/tex] atoms.
Radioactive decay is a fundamental concept in nuclear physics and plays a crucial role in various applications, including radiometric dating and medical imaging. Understanding the relationship between activity, time, and the number of atoms allows scientists to study the behavior and properties of radioactive materials.
The decay constant, specific to each radioactive isotope, determines the rate of decay and provides valuable information about the stability and half-life of the isotope. Accurate measurement and calculation of radioactive decay are essential in both scientific research and practical applications.
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