# A Uranium Reactor Develops Thermal Energy at a Rate of 300 Mw. Calculate the Amount of 235u Being Consumed Every Second. Average Released per Fission is 200 Mev. - Physics

Sum

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

#### Solution

Given:
Rate of development of thermal energy = 300 MW
Average energy released per fission = 200 MeV
Let N be the number of atoms disintegrating per second.
Then, the total energy emitted per second will be

N xx 200 xx 10^6 xx 1.6 xx 10^-19 = Power

N xx 200 xx 10^6 xx 1.6 xx 10^-19 = 300 xx 10^6 atoms

⇒ N = 3/(2 xx 1.6) xx 10^19 = 3/3.2 xx 10^19 atoms

6.023 × 1023 atoms = 238 gm of U235

3/3.2 xx 10^19 atoms will present in (238 xx 3 xx 10^19)/(6 xx 10^23 xx 3.2) = 3.7 mg

Concept: Nuclear Energy - Fission
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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 24 The Nucleus
Q 48 | Page 444