Respuesta :
Answer: The time for activity to fell from 800 counts per second to 200 counts per second is 20 minutes
Explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process Â
a) for finding the rate constant:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]
[tex]k=\frac{0.693}{10min}=0.0693min^{-1}[/tex]
b) for activity to fell from 800 counts per second to 200 counts per second.
[tex]t=\frac{2.303}{0.0693}\log\frac{800}{200}[/tex]
[tex]t=20minutes[/tex]
The time for activity to fell from 800 counts per second to 200 counts per second is 20 minutes
