A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 milligrams of the material present and after two hours it is observed that the material has lost 20% of its original mass, find (a) an expression for the mass of the material remaining at any time , (b) the mass of the material after five hours; and (c) the time at which the material has decayed to one half of its initial mass.

Q: A sample of radioactive material has a half-life of about 1200 years. An initial sample weighs 20…

A: Given half life of the radioactive sample is about 1200 grand initial sample weight is 20 grams.

Q: 2. The half-life of a radioactive substance is 4000 years. How long will it take for the substance…

A: The half life of the radioactive decay is  years.

Q: An experimental forest is to be grown by planting 3000 trees each year on the same day of the year.…

A: Let i = number of years = 0, 1, ... , 10 and the number of trees planting in the starting of each…

Q: The population of a community grows in proportion to the population at any time t. Its initial…

A: Given data is: Initial population P=1200 R=25% Time t=8 year

Q: A certain drug ingested by a patient is initially 20 mg. After 10 hours, the amount of the drug in…

A: Law of Decay is given as follows Where A is the amount any time t  is the initial amount k is the…

Q: The decay constant for a certain drug is k = 0.35 day−1. Calculate the time it takes for the…

A: