Answer:
The mass left after 24.6 years is 25.0563 grams
Explanation:
The given parameters are;
The mass of the hydrogen-3 = 100 grams
The half life of hydrogen-3 which is also known as = 12.32 years
The formula for calculating half-life is given as follows;
[tex]N(t) = N_0 \times \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{\frac{1}{2} }} }[/tex]
Where;
N(t) = The mass left after t years
N₀ = The initial mass of the hydrogen-3 = 100 g
t = Time duration of the decay = 24.6 years
[tex]t_{\frac{1}{2} }[/tex] = Half-life = 12.32 years
[tex]N(24.6) = 100 \times \left (\dfrac{1}{2} \right )^{\dfrac{24.6}{12.32}} } = 25.0563[/tex]
The mass left after 24.6 years = 25.0563 grams.
