Nuclear decay is a first-order kinetics process. What is the half-life of a radioactive isotope if it takes 233 minutes for the concentration of the isotope to drop from 0.500 M to 0.0125 M? Give your answer in minutes.

The half life of the given radioactive isotope is 43.86 minutes

Explanation:

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

explanation:

venn diagram is pictorial representation with of circles showing the relation between two finite sets or things. the intersection part of two circles conveys the relation present in between those sets or things.

here in the venn diagram of sand and salt two circles represent sand and salt. but the area falling under the intersection of these circle represents the mixture of sand and salt.

so, in a venn diagram the mixture will be placed in a middle that is in between the intersection of two circles.