If the half-life of a radioactive material is 8 years, how many years will it take for one-half of the original amount of material to decay?

It will take 8 years to decay one half of the original amount of the material.

Explanation:

Radioactive materials are those which emit radiations on decaying. So the decay of radioactive materials obey a exponential order.

Here, N is the number of radioactive materials present in time t, N₀ is the amount of radioactive material present at original state or at starting. Also k is termed as the disintegration constant and t is the time taken for decay.

So, disintegration constant is the rate at which the radioactive material will decay. In order to determine the time required to decay half of the original amount of radioactive materials, then we have to perform ratio of ln 2 to disintegration constant. This formula is defined as the half life time of the radioactive materials.

Thus, it can be stated as the time required to decay one half of the original amount of any radioactive material is defined as half life time of that material.

Since, here the radioactive material is said to have a half life time of 8 years, then it will require 8 years to decay one half of the original amount of the material.

a. the law of proportion states the combination of 2 atoms in a specific ratio to produce multiple compounds such as the given statement of question ‘1st compound contains 88.8 % cu ’ indicates 88.8 g of cu is present along with 11.2 g oxygen in 100 g of compound whereas the statement ‘2st compound contains 79.9 % cu ’ indicates 79.9 g of cu is present along with 20.1 g oxygen in 100 g of compound

1st compound contains 88.8 g cu

for cu

m = 63 g /mol

atomic % = 88.8 /63 = 1.42

for o

m = 16 g /mol

atomic % = 11.2 /16 = 0.7

b. the emperical formula of 1st compound is

cu1.4o0.7

cu2o