A nuclear power station delivers 1 GW of electricity for a year from uranium fission. Given that a single fission event delivers about 200 MeV of heat, estimate the number of atoms that underwent fission, their mass, and the loss of mass of the fuel elements.

In nuclear power plants, atoms are split apart to form smaller atoms releasing energy 20 in a process called nuclear fission. Calculate the electrical power that is released in one hour due to splitting 200 g of Uranium-235, taking the disintegration energy per event to be 208 MeV.

A particle of mass m, is fired at a stationary particle of mass mg, and a reaction takes place in which new particles are created out of the incident kinetic energy. Taken together, the product particles have total mass mg. The minimum kinetic energy the bombarding particle must have so as to induce the reaction is called the threshold energy. At this energy, the kinetic energy of the products is a minimum, so the fraction of the incident kinetic energy that is available to create new particles is a maximum. This condition is met when all the product particles have the same velocity and the particles have no kinetic energy of motion relative to one another. (a) By using conservation of relativistic energy and momentum and the relativistic energy-momentum relation, show that the threshold kinetic energy is [m- (m, + m,)*]c² K. min 2m, Calculate the threshold kinetic energy for each of the following reactions: (b) p + p → p + p + p + p (one of the initial protons is at rest, and…

Suppose that our Sun, of mass 1.99 x 1030 kg, consists entirely of hydrogen and that the dominant energy-releasing fusion reaction 4 H He 2e+ + 2v + y involves the "burning" of hydrogen into helium with a Q-value of 26.73 MeV. If the total power output of the Sun is assumed to remain constant at 3.9 x 1026 W, estimate the number of years for all of the hydrogen to be used up.

We have the following nuclear reaction, 73Li + p −→ 74Be + n the neutrons are ejected at an angle of 90° relative to the original direction of the proton beam. The kinetic energy of neutrons is 1.94 MeV. (a) Calculate the Q of the nuclear reaction

We want to get an idea of the actual mass of 235U involved in powering a nuclear power plant. Assume that a single fission event releases 200 MeV of thermal energy. A 1,000 MWe electric power plant has a thermal power of approximately 3,000 MWth. What rate of fission reactions is required to produce this power? (Note: 1 eV = 1.6 × 10−19 J.) The reactor core consists of approximately 100 tonnes of UO2 (1 tonne = 1,000 kg), which is enriched in 235U to 4%. How many full-power years could the reactor operate if all of the 235U were to be fissioned? What factors prevent such complete depletion of the 235U from occurring? Under the 235U depletion scenario of part b, what mass of fission products and what mass of high-level wastes (HLW) would be produced?

If the average energy released in a fission event is 208 MeV, find the total number of fission events required to operate a 60-W lightbulb for 2.0 h.

The electrical power output of a large nuclear reactor facility is 935 MW. It has a 39.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass (in kg) of 235U is fissioned in one year of full-power operation?