Home
Class 12
PHYSICS
A power reactor develops energy at the r...

A power reactor develops energy at the rate of 30,000 kW. How many gram of `""^(235)U` would be consumed daily? Assuming that on an average 200 MeV energy is released per fission.

Text Solution

Verified by Experts

Number of atoms undergoing fission per second
= `(3xx10^(7))/(200xxL6xx10^(-13))=0.9375xx10^(18)`
= Number of atoms undergoing fission in 24 hours = `0.9375xx10^(18)xx24xx3600=0.81xx10^(23)`.
`therefore` Mass of uranium undergoing fission
= `(235)/(6.023xx10^(23))xx0.81xx10^(23)=31.6g`
Promotional Banner

Similar Questions

Explore conceptually related problems

A uranium rector develops thermal energy at a rate of 300 MW. Calculate the amount of U^235 being consumed every second .Average energy released per fission is 200 MeV.

Suppose India had a target of producing by 2020 AD, 200,200 MW of electric power, ten percent of which was to be obtained from nuclear power plants. Suppose we are given that, on an average, the efficiency of utillization (i.e, conversion to electric energy) of thermal energy produced in a reactor was 25%. How much amount of fissionable uranium would our country need per year by 2020 ? Take the heat energy per fission of ""^(235)U to be about 200 MeV.

Consider the case of bombardment of ""^(235)U nucleus with a thermal neutron. The fission products are ""^(95)Moand""^(139)La and two neutrons. Calculate the energy released. (Rest masses of the nuclides : ""^(235)U=235.0439u,""_(0)^(1)n=1.0087u,""^(95)Mo=94.9058u,""^(139)La=138.9061u Take 1 u = 931MeV).

A town has a population of 1 million. The average electric power needed per person is 300W. A reactor is to be designed to supply power to this town. The efficiency with which thermal power is converted into electric power is aimed at 25%.(a) Assuming 200 MeV of thermal energy to come form each fission event on an average, find the number of events on an place every day. (b) Assuming the fission to take place largely through U^235 , at what rate will the amount of U^235 decrease ? Express uour answer in kg per day. (c) Assuming that uranium enriched to 3% in U^235 will be used, how much uranium is needed per month (30 days)?

Monochromatic light of wavelength 632.8 nm is produced by a helium-neon laser. The power emitted is 9.42 mW. a. Find the energy and momentum of each photon is the light beam. b. How many photons per second, on the average, arrive at a target irradiated by this beam? (Assume the beam to have uniform cross-section which is less than the target area). c. How fast does a hydrogen atom have to travel in order to have the same momentum as that of the photon?

The fission properties of ""_(94)^(239)Pu are very similar to those of ""_(92)^(235)U . The average energy released per fission is 180 MeV . How much energy , in MeV, is released if all the atoms in 1kg of pure ""_(94)^(239)Pu undergo fission?

In a fusion reactor, the reaction occurs in two stages. (i) Two deuterium (""_(1)^(2)D) nuclei fuse to form a tritium (""_(1)^(3)T) nucleus with a proton as product. (ii) A tritium nucleus fuses with another deuterium nucleus to form a helium (""_(2)^(4)He) nucleus with neutron as another product. Find (a) the energy released in each stage. (b) the energy released in the combined reaction per deuterium and (c) what percentage of the mass energy of the initial deuterium is released? Given : ""_(1)^(2)D=2.014102u,""_(1)^(3)T=3.016049u,""_(2)^(4)He=4.002603u,""_(1)^(1)H=1.007825u,""_(0)^(1)n=1.008665u Take 1u = 931 MeV