Prove that the two forms of the law of radioactive decay are equivalent. Access the chart of the nuclides and obtain the half-lives for the following isotopes: 1. Tritium: 1T3 2. Uranium 235 3. Potassium 40 4. Carbon 14 5. Radium 226 Radon 222 as a daughter in the decay chain of uranium is gaseous at room temperature. It is an inert or noble gas that does not interact chemically in the body. However, it decays into Pb210 which attaches itself to vegetation such as tobacco leaves as a solid and subsequently decays into Po210 which emits an energetic alpha particle with 5.3MeV of energy. The inhalation of these two isotopes in the particulate matter of cigarette-smoke delivers to the average smoker a radiation effective-dose or dose-equivalent of 8 rems (radiation equivalen man) per year to the basal cells of the bronchial tissue. The "cancer dose" is the total radiation dose that if spread through a population would cause one additional cancer death and is considered to be approximately 2,000 rems. Calculate the ensuing radiological risk in units of cancer deaths per year in a population of one million smokers