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Calculate the Energy Released by 1g of Natural Uranium Assuming 200 Mev is Released in Each Fission Event and that the Fissionable Isotope 235u Has an Abundance of 0.7% by Weight in Natural Uranium.

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प्रश्न

Calculate the energy released by 1g of natural uranium assuming 200 MeV is released in each fission event and that the fissionable isotope 235U has an abundance of 0.7% by weight in natural uranium.

योग
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उत्तर

235 g of uranium contains 6.02 × 1023 atoms.

1 g of uranium = `1/235 xx 6.023 xx 10^23` atoms

∴ 0.7 g of uranium = `1/235 xx 6.023 xx 10^23 xx 0.007` atoms

1 atom gives 200 MeV. 

∴ Total energy released = `(6.023 xx 10^23 xx 0.007 xx 200 xx 10^6 xx 1.6 xx 10^-19)/235 "J" = 5.74 xx 10^8 "J"`

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अध्याय 46: The Nucleus - Exercises [पृष्ठ ४४४]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 46 The Nucleus
Exercises | Q 47 | पृष्ठ ४४४

संबंधित प्रश्न

A 1000 MW fission reactor consumes half of its fuel in 5.00 y. How much `""_92^235"U"` did it contain initially? Assume that the reactor operates 80% of the time, that all the energy generated arises from the fission of `""92^235"U"` and that this nuclide is consumed only by the fission process.


Suppose India had a target of producing by 2020 AD, 200,000 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 utilization (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 235U to be about 200MeV.


In a typical fission reaction, the nucleus is split into two middle-weight nuclei of unequal masses. Which of the two (heavier or lighter) has greater kinetic energy? Which one has greater liner momentum?


The heavier nuclei tend to have larger N/Z ratio because
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(b) a neutron is an unstable particle
(c) a neutron does not exert electric repulsion
(d) Coulomb forces have longer range compared to the nuclear forces.


As the mass number A increases, which of the following quantities related to a nucleus do not change?


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Which particle is most likely to be captured by a 235u nucleus and cause it to undergo fission? 


Distinguish between nuclear fission and fusion giving an example of each.


A heavy nucleus P of mass number 240 and binding energy of 7.6 MeV per nucleon splits into two nuclei Q and R of mass number 110 and 130 and binding energy per nucleon of 8.5 MeV and 8.4 MeV respectively. Calculate the energy released in fission.


Beyond natural radioactive decay, new nuclear possibilities emerge when nuclei are bombarded with particles such as:


In the fission of uranium-235, the particle that bombards the nucleus to initiate the reaction is a:


When \(_{92}^{235}U\) captures a bombarding neutron, the intermediate nucleus formed before it splits is:


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The energy released (Q value) in the fission reaction of nuclei like uranium is of the order of:


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