Question

A 100. g sample has a half-life of 11.4 years. How much of the sample will remain after 33years?

Answer 1

Answer:

The mass of the sample remaining after 33 years = 13.45 g

Explanations:

The initial mass of the sample, M₀ = 100g

The half life, x = 11.4 years

The time, t = 33 years

The remaining sample after t years = M(t)

The remaining mass of the sample after t years is calculated using the formula

`M(t)\text{ = }M_0(0.5)^{(t)/(x)}`

Substituting the values into the equation

`\begin{gathered} M(33)=100(0.5)^{(33)/(11.4)} \\ M(33)\text{ = }13.45\text{ g} \end{gathered}`

The mass of the sample remaining after 33 years = 13.45 g