If you are given a 2,900-gram sample of Hydrogen, and hydrogen has a half-life of 2,450 years. How much hydrogen is left after 19,600 years?

11.33g of hydrogen

Explanation:

We need to apply the formulae;

Nt/No = (1/2) ^t/t1/2

Where;

Nt = mass of hydrogen remaining after a time t (the unknown)

No = mass of hydrogen initially present = 2900g

t = time taken for Nt mass of hydrogen to remain = 19600 years

t1/2 = half-life of hydrogen = 2450 years

Substituting values;

Nt/2900 = (1/2) ^19600/2450

Nt/2900 = (1/2) ^8

Nt/2900 = 1/256

256Nt = 2900

Nt = 2900/256

Nt = 11.33g of hydrogen

Therefore, 11.33g of hydrogen is left after 19600years.