Approximately .
Explanation:
Calculate the ratio between the mass of this sample after and the initial mass:
.
Let denote the number of half-lives in that
(where
might not necessarily be an integer.) The mass of the sample is supposed to become
the previous quantity after each half-life. Therefore, if the initial mass of the sample is
(for example,) the mass of the sample after
half-lives would be
. Regardless of the initial mass, the ratio between the mass of the sample after
half-lives and the initial mass should be
.
For this question:
.
Take the natural logarithm of both sides of this equation to solve for :
.
.
.
In other words, there are half-lives of this sample in
. If the length of each half-life is constant, that length should be
.
Explanation:
1. Increasing the concentrations of reactants in a chemical reaction would affect a reaction positively by increasing the number of collisions within a particular period which in turn increases the rate of reaction.
2. The molecules gains energy,which enable them to move faster and collide with the right energy for a reaction to take place.
3. The average kinetic motion of molecules in a solution can be measured by measuring the temperature. Temperature is a measure of the average kinetic energy of molecules in a solution.