Assume we have a sealed container holding 100 Bq of pure 222 Rn at t=0. Calculate the activity (in Bq) of the radon decay chain (222 Rn 218Po 214Pb 214Bi) at t=5, 50, and 500 minutes. Assume the activities of radon progeny are zero at t=0 and that the branching ratio is 100% to each of the progeny in the chain. Remember that you should solve for the number of atoms of each at each time them convert it to activity. You may use the Batman equations to solve this rather than derive the equations from scratch