The rate at which radon is being created is the rate at which radium is decaying, namely A1 N1 or A1 Noe-Ait. But the radon is also decaying at the rate A,N2. Hence, we have dN2 = \1N1 – A2N2, dt or dN2 + A2N2 = A1N1 = 11 Noe¬A1t_ dt This equation is of the form (3.1), and we solve it as follows: I = / A2 dt = Azt, (3.10) N2e^2t A, Noe-Aite^2t dt + c = e(A2-A1)t dt + c= d1 No (A2-A1)t + c, A2 - A1 12, see Problem 19.) Since N2 = 0 at t = 0 (we if A1 + d2. (For the case A1 assumed pure Ra at t = 0), we must have d1 No A1 No 0 = d2 – di or c = Substituting this value of c into (3.10) and solving for N2, we get d, No (e- d2 - A1 - e-Aat). Ait N2 > Example 2. Radium decays to radon which decays to polonium. If at t = 0, a sample is pure radium, how much radon does it contain at time t? Let No = number of radium atoms at t = 0, N1 = number of radium atoms at time t, N2 = number of radon atoms at time t, A1 and A2 = decay constants for Ra and Rn. As in Section 2, we have for radium dN1 -A1 N1, N1 = Noe-^t. dt

Please answer Part 2 of the question.

Uranium-235 is used as a nuclear fuel for Canadian made CANDU nuclear power plants. During one such fission reaction, a uranium-235 atom is split by a fast moving neutron to produce krypton-92, barium-141 and an unknown number of neutrons. Determine the number of neutrons produced by this reaction, record that value in blank #1. Determine the energy released by the reaction, rounded to the nearest whole MeV, record that in blank #2. Isotope Uranium-235 Krypton-92 Barium-141 Neutron Mass (u) 235.043930 91.92345 140.91440 1.008665

A state-of-the-art proton decay experiment is expected to detect 47% of the proton decays in a body of water. Assuming protons have a lifetime of 1031 years, how many m3 of water would you need in order to see 6 decays per month?  (Assume a "month" is one-twelfth of a year.)

a radioactive material has a half-life of eigth days. how long will take for the material to be reduce on one-sixteeth (1/16) of its original mass? a radioactive sample has a decay constant of 0.219/minute. what is its half-liofe?, if at the start of an exeperiement, there are 3.2x10 nuclei, how much wilkl remain after 1 hour?

Calculate the partial pressure of helium gas for a volume of 1.0 x 10-6 m3 of 22286Rn gas after 6 days. The radon gas was originally placed in an evacuated container at 1.0 atm, and the temperature remains constant at 0°C. What is the partial pressure of the radon gas after 6 days? (t1/2 = 3.82 d for 222Rn)