<u>Answer:</u> The half life of the given radioactive isotope is 43.86 minutes
<u>Explanation:</u>
Rate law expression for first order kinetics is given by the equation:
where,
k = rate constant = ?
t = time taken for decay process = 233 minutes
= initial amount of the reactant = 0.500 M
[A] = amount left after decay process = 0.0125 M
Putting values in above equation, we get:
The equation used to calculate half life for first order kinetics:
where,
= half-life of the reaction = ?
k = rate constant =
Putting values in above equation, we get:
Hence, the half life of the given radioactive isotope is 43.86 minutes