2.3) In 1976, the US nuclear industry needed about 10,000 tons of U308. Assuming that enrichment and tails requirements do not change and the industry increased at a rate of x% per year, how long would it take for the $130.kgU reserves to be exhausted? Assume that the reserves are 600,000 tons of U308. After you develop the equation for the time, obtain numerical results for x=2,4, and 6%. 2.4) Assume that a decision is made to start ordering reactors at such a constant rate per year from 1990 until 2030 at which time orders will stop, so that all known uranium reserves of 2.3 million tonnes (with prices up to $260/kgU) will be used up. Assume: a) All plants are identical and need 150 tons of natural uranium per year. b) It takes 10 years to build a plant c) Every plant has a 30 year lifetime. d) There are 120 plant operating in 1990. e) Reactors operating in 1990start retiring in 2000, at the rate of 10/yr. For these reactors, consider their needs only after 1990. Calculate how many reactors per year could be ordered and the maximum number of reactors operating at any single time. 2.5) How many 1000 MW(e) LWR's can the world reserves of uranium serve? Consider the price category up to $80/kgU. Assume that each reactor needs 150 tons of natural uranium per year and has a lifetime of 30 years. Also assume annual refueling of one third of the core. See Table 2.7 for World's reserves.