91Ó°ÊÓ

An all-electric home uses about \(2.0 \times 10^{3} \mathrm{kW} \cdot \mathrm{h}\) of electrical energy per month. How many \(^{235} \mathrm{U}\) atoms would be required to provide this house with its energy needs for one year? Assume 100.0 percent conversion efficiency and 208 MeV released per fission.

When \(^{18} \mathrm{O}\) is struck by a proton, \(^{18} \mathrm{F}\) and another particle are produced. What is the other particle?

A sample of a radioactive isotope is measured to have an activity of \(240.0 \mathrm{mCi}\). If the sample has a half-life of 14 days, how many nuclei of the isotope are there at this time?

It has been estimated that Earth has \(9.1 \times 10^{11} \mathrm{kg}\) of natural uranium that can be economically mined. Of this total, 0.70 percent is \(^{235} \mathrm{U}\). If all the world's energy needs \(\left(7.0 \times 10^{12} \mathrm{J} / \mathrm{s}\right)\) were supplied by \(^{235} \mathrm{U}\) fission, how long would this supply last? Assume that 208 MeV of energy is released per fission event and that the mass of \(235 \mathrm{U}\) is about \(3.9 \times 10^{-25} \mathrm{kg}\)

If the average energy released in a fission event is \(208 \mathrm{MeV},\) find the total number of fission events required to provide enough energy to keep a \(100.0 \mathrm{W}\) light bulb burning for \(1.0 \mathrm{h}\)

How many atoms of \(^{235} \mathrm{U}\) must undergo fission to operate a \(1.0 \times 10^{3}\) MW power plant for one day if the conversion efficiency is 30.0 percent? Assume 208 MeV released per fission event.