The energy released per fission of uranium-23 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The power produced by the reactor is $P = 1000 \, kW = 10^6 \, J/s$.The energy released per fission is $E_f = 200 \, MeV = 200 	imes 10^6 \, eV$.

Vedclass · Accepted Answer

$3 	imes 10^{16}$

Vedclass · Answer

(C) The power produced by the reactor is $P = 1000 \, kW = 10^6 \, J/s$.The energy released per fission is $E_f = 200 \, MeV = 200 	imes 10^6 \, eV$.Converting this energy into Joules:$E_f = 200 	imes 10^6 	imes 1.6 	imes 10^{-19} \, J = 3.2 	imes 10^{-11} \, J$.The number of fissions per second $(n)$ is given by the ratio of total power to energy per fission:$n = \frac{P}{E_f} = \frac{10^6 \, J/s}{3.2 	imes 10^{-11} \, J/fission}$.$n = \frac{1}{3.2} 	imes 10^{17} \approx 0.3125 	imes 10^{17} = 3.125 	imes 10^{16} \, 	ext{fissions/s}$.Thus, the approximate number of nuclei undergoing fission per second is $3 	imes 10^{16}$.

The energy released per fission of uranium-$235$ is about $200 \, MeV$. $A$ reactor using $U-235$ as fuel is producing $1000 \, kW$ power. The number of $U-235$ nuclei undergoing fission per second is approximately:

Similar Questions

In a nuclear reactor,the fuel is consumed at the rate of $1 \, mg/s$. The power generated in kilowatt is

In a nuclear fusion process,a certain mass of hydrogen is converted into helium,resulting in a mass defect of $0.02866 \, u$. The energy released per $1 \, u$ of mass formed is ......... $MeV$. (Given $1 \, u = 931 \, MeV$)

$A$ nucleus of mass $M + \Delta m$ is at rest and decays into two daughter nuclei of mass $\frac{M}{4}$ and $\frac{3M}{4}$. If the speed of light is $c$,the speed of the daughter nucleus of mass $\frac{M}{4}$ is:

$A$ power of $100 \ W$ is produced by the fission of $1 \ kg$ of $^{235}U$. For approximately how long will the energy production continue?

If all the helium in a star is converted into oxygen in its core,the energy released per oxygen nucleus is...........$MeV$?
[Mass of $He = 4.0026 \, a.m.u.$,Mass of $O = 15.9994 \, a.m.u.$]

Vedclass Test Series

Exam Paper Generator

Online Exam Module