Trtitum, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an into tail amount sample of 50 grams, how much will remain after 10 years?
50 g * (1/2)^(10 / 12.4)
To determine how much Tritium will remain after 10 years, we can use the concept of half-life.
Half-life is the time it takes for half of the radioactive substance to decay.
Given that the half-life of Tritium is 12.4 years, we can calculate the number of half-lives that will occur in 10 years as follows:
Number of half-lives = 10 years / 12.4 years per half-life = 0.8064
Since each half-life reduces the amount by half, we raise 0.5 to the power of the number of half-lives to find the fraction that remains:
Fraction remaining = 0.5 ^ (number of half-lives)
Fraction remaining = 0.5 ^ 0.8064
Fraction remaining ≈ 0.6225
Finally, we multiply this fraction by the initial amount (50 grams) to find the remaining amount after 10 years:
Remaining amount = Fraction remaining * Initial amount
Remaining amount ≈ 0.6225 * 50 grams
Remaining amount ≈ 31.125 grams
Therefore, after 10 years, approximately 31.125 grams of Tritium will remain from the initial 50-gram sample.