The answer is 1.22 mg
Half-life T=2.7 days =2.7 ×24 ×3600
decay constant =0.693 / T=0.693 / 233280
=2.97 * 10^-6
A=300 Ci
=300 ×3.7 ×10 ^10=1110^10
The relation between activity and the number of isotopes is
A=?n
n=3.73×10^18
Mass of the isotope, m=(3.73×10^18/6.023×10^23)198=1.22mg
What is half-life?
- It is the time at which the concentration of a substance reduces to half of the initial concentration.
- The concentration decrease to half of the initial value.
- It has different formulas for different order reactions.
- The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive.
- The term is also generally used to characterize any type of exponential (rarely, non-exponential) decay.
- For example, the medical sciences refer to the biological half-life of drugs and other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time.
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