Home
Class 12
PHYSICS
What is the power output of a .(92) U^(2...

What is the power output of a `._(92) U^(235)` reactor if it is takes `30` days to use up `2 kg` of fuel, and if each fission gives `185 MeV` of usable energy ?.

Text Solution

Verified by Experts

The correct Answer is:
`58.3xx10^(6)watt`
P=?
Mass of fuel consumed/sec `=(2xx10^(3))/(30xx24xx60xx60)g`
Number of atoms undergoing fission
`=(6xx10^(23)xx2xx10^(3))/(235xx30xx24xx60xx60)=1.97xx10^(18)`
Power =Energy released/sec
`=1.97xx10^(18)xx185xMeV//sec`
`=364.45xx10^(18)xx1.6xx10^(-13)watt`
`P=58.3xx10^(6)"watt"`
Promotional Banner

Topper's Solved these Questions

  • ATOMS AND NUCLEI

    PRADEEP|Exercise Fill in the blank 2|1 Videos

  • ATOMS AND NUCLEI

    PRADEEP|Exercise Multiple choice questions 1|1 Videos

  • ATOMS AND NUCLEI

    PRADEEP|Exercise curiocity quetions 3|1 Videos

  • COMMUNICATION SYSTEMS

    PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos

Similar Questions

Explore conceptually related problems

What is the power output of a ._(92) U^(235) reactor if it is takes 30 days to use up 2 kg of fuel, and if each fission gives 185 MeV of useable energy ?.

The power output of a _92U^(235) reactor if it takes 30 days to use up 2 kg of fuel and if each fission gives 185 MeV of energy (Avogadro number =6xx10^(23)//mole) will be -

If reactor takes 30 day to consume 4 kg of fuel and each fission gives 185 MeV of usable energy , then calculate the power output.

The elecron curium _(96)^(248) On has a mean life of 10^(13) second ist pirmary dacay mode with a probilly of 8% and the letter with a probillty of 92% Each fission released 200 MeV of energy . The masses involved in a - dacay are as follows _(96)^(248) Cm = 248.072220 u, _(94_^(244) Pu = 244.064100 u and _(2)^(4) He = 4 .002603 u calculate the power output from a sample of 10^(20) Cm atom (1 u = 931 MeV//e^(2))

In reactor 2, kg of ""_(92) U^(235) fuel is fully used up in 30 days . The energy released per fission is 200 MeV. Given that the Avogadro number ,N=6.023 xx 10^(26) per kilo mole and 1e V=1.6 xx 10^(-19)J. The power output of the reactor is close to

Calculate the amount of ""_(92)U^(235) required to release energy of 1 kWh. Given energy released during fission of one atom is 200 MeV.

The fission properties of ._84Pu^(239) are very similar to those of ._92U^(235) . The average energy released per fission is 180MeV . How much energy in MeV is released if all the atoms in 1kg of pure ._94Pu^(239) undergo fission.

The fission properties of ._94^239Pu are very similar to those of ._92^235 U. The average energy released per fission is 180 MeV. If all the atoms in 1 kg of pure ._94^239Pu undergo fission, then the total energy released in MeV is

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 ^235U , at what rate will the amount of ^235U decrease ? Express uour answer in kg per day. (c) Assuming that uranium is needed per month (30 days)?

PRADEEP-ATOMS AND NUCLEI-Exercise
  1. The energy released by fission of one U^(235) atom is 200 MeV. Calcula...

    Text Solution

    |

  2. When .(92)U^(235) undergoes fission, 0.1% of the original mass is rele...

    Text Solution

    |

  3. What is the power output of a .(92) U^(235) reactor if it is takes 30 ...

    Text Solution

    |

  4. The activity of a radioactive sample falls from 600 s^(-1) to 500 s^(-...

    Text Solution

    |

  5. A radioactive nucleus can decay by two different processes. The half-...

    Text Solution

    |

  6. Calculate packing fraction of alpha particle form the following date: ...

    Text Solution

    |

  7. The binding energies per nucleon for deuteron (.1H^2) and helium (.2He...

    Text Solution

    |

  8. M(1) and M(2) represent the masses of .(10)Ne^(20) nucleus and .(20)Ca...

    Text Solution

    |

  9. Calculate the energy of the following nuclear reaction: .(1)H^(2)+.(...

    Text Solution

    |

  10. One miligram of thorium emits 22alpha particles per minute per unit so...

    Text Solution

    |

  11. Prove that the instantaneous rate of change of activity of a radioacti...

    Text Solution

    |

  12. The nucleus of an atom of .(92)Y^(235) initially at rest decays by emi...

    Text Solution

    |

  13. Find the ratio of Li^(++) ions in its ground state assuming Bohr 's mo...

    Text Solution

    |

  14. Two H atoms in the ground state collide inelastically. The maximum amo...

    Text Solution

    |

  15. The simple Bohr modle is not applicable to He^(4) atom because

    Text Solution

    |

  16. The gravitational force between a H-atom and another particle of mass ...

    Text Solution

    |

  17. When a nucleus in an atom undergoes a radioactive decay, the electroni...

    Text Solution

    |

  18. M(x) and M(y) denote the atomic masses of the parent and the dougther ...

    Text Solution

    |

  19. Heavy stable nuclei have more neutrons than protons. This is because o...

    Text Solution

    |

  20. The variation of decay rate of two radioactive samples A and B with ti...

    Text Solution

    |