At what rate must Uranium 235 undergo fission by neutron bombardment to generate energy at a rate of 154 W (1W = 1J/s)? Assume each fission reaction releases 200 MeV of energy. How many billions of fissions per second are required? Use 1 eV = 1.6 * 10-19 J. Enter an integer.

Respuesta :

To develop this problem we simply have to perform conversions per second to know the amount of fission that are made. A simple mathematical calculation that starts from:

[tex]P = 915W[/tex]

Watts is the energy invested over time therefore

[tex]P = 915\frac{J}{s}[/tex]

According to the statement there is a release per second of 200MeV so the number of Fisions per second would be subject to

[tex]#_{fissions} = \frac{915J/s}{200*10^6eV(\frac{1.6*10^{-19}J}{1eV})}[/tex]

[tex]#_{fissions} = 28593.75*10^{9}s^{-1}[/tex]

Therefore there are 28593.75*10^{9} Fissions per second.

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