The half life of tritium is 12.3.If 48 mg of tritium is released from a nuclear power plant what mass of the sample will remain after 49.2 years?

Respuesta :

Answer:

Explanation:

To calculate the remaining mass of tritium after 49.2 years, you can follow these steps:

1. Determine the number of half-lives that have passed:

- Divide the total time (49.2 years) by the half-life of tritium (12.3 years):

49.2 years ÷ 12.3 years = 4 half-lives

2. Calculate the remaining mass after 4 half-lives:

- Since each half-life halves the amount of tritium, after 4 half-lives, the remaining mass can be calculated by:

Remaining mass = Initial mass × (1/2)^number of half-lives

Remaining mass = 48 mg × (1/2)^4

Remaining mass = 48 mg × (1/16)

Remaining mass = 3 mg

Therefore, after 49.2 years, only 3 mg of the sample will remain from the initial 48 mg of tritium released from the nuclear power plant.