Question

If you start with 100 grams of hydrogen-3, how many grams will you have after 24.6 years?

Answer 1

The mass left after 24.6 years is 25.0563 grams

Step-by-step 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;

`N(t) = N_0 * \left ((1)/(2) \right )^{\frac{t}{t_{(1)/(2) }} }`

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

`t_{(1)/(2) }` = Half-life = 12.32 years

`N(24.6) = 100 * \left ((1)/(2) \right )^{(24.6)/(12.32)} } = 25.0563`

The mass left after 24.6 years = 25.0563 grams.