A radioactive material decays at a rate proportional to the amount present. Initially there are 150 milligrams of the material present and after 2 hour(s) the material has 50 milligrams. (a) Find the material decay constant, r > 0, r = Σ (b) Find the mass of the material N as function of time. N(t) Σ (c) Find the mass of the material N, after 3 hours, N1 Σ N(0) (d) The half-life of a radioactive material is the time T such that N(7) Find the half-life of the material in this problem. 2 T = Σ

Q: A tank contains 1060 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the…

A: I have explained everything with in the solution. Please go through that.

Q: A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the…

A:

Q: A tank originally contains 500 gallons of pure water. Brine containing 2 lb of salt per gallon is…

A:

Q: Suppose that a room containing 1000 cubic feet of air is originally free of carbon monoxide (CO).…

A: Given Information:The room contains 1000 cubic feet of carbon monoxide. Initially, cigarette smoke…

Q: A person’s blood alcohol content (BAC) is a measure of how much alcohol is in the bloodstream. When…

A:

Q: As a swimming pool drains, the amount of water in the pool (in gallons) is given by g(t) = 3000 −…

A:

Q: A piece of chicken is boiled until its internal temperature reaches 165 °F. The chicken is then…

A: Given the formula for Newton's cooling law…

Q: The amount of doxycyclin (an antibiotic) decays rapidly in the blood. If a patient takes 200 mg of…

A: a) Patient takes 200 mg of Oxycontin, so  f(0)=Ab0200=A Now, after 5 hours she has only 50 mg, so…

Q: A 1. The radioactive isotope lead, Pb-209, decays at a rate proportional to the amount present at…

A: we will formulate a differential equation for amount of isotope and the solve it by using given data…