Consider the hypothetical case of production of an artificial radioactive nuclide Y by neutron activation of nuclide X in a nuclear reactor. (The gamma decay of Y will be very useful in medical imaging and other uses.) Suppose 1 mole of nuclide X is placed in a location in the reactor where the flux value is 2.31013 cm2s1. Suppose that the neutron-capture cross section of X is 30b, and that the half-life of Y is 3.5 years. X is not radioactive and is not produced by any reaction in the reactor. Write the equation for the concentration of Y as a function of time while it is in the reactor. (There is no Y present at t=0, when X is first placed in the reactor.) If Y is harvested at t=2 years, what is its inventory, and what is its activity in curies