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.