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Chapter 43: Q7P (page 1331)

At what rate must U235nuclei undergo fission by neutron bombardment to generate energy at the rate of 1.00 W? Assume that Q=200 MeV.

Short Answer

Expert verified

The rate at which nuclei undergo fission by neutron bombardment. 3.12×1010s-1.

Step by step solution

01

Given data

The generated energy, P =1 W

The released energy, Q =200 MeV

02

Determine the formulas to calculate the rate at which nuclei undergo fission by neutron bombardment.

The expression to calculate the fission ratio is given as follows.

R=PQ ...(i)

03

Calculate the rate at which nuclei undergo fission by neutron bombardment.

Calculate the fission ratio.

Substitute 1W forP and 200 MeV for into equation (i).

R=1W200MeVR=1W200×106eVR=1W200×106×1.6×1019JR=13.2×1011

Solve further as,

R=10113.2R=10×10103.2R=3.12×1010s-1

Hence the rate at which nuclei undergo fission by neutron bombardment 3.12×1010s-1.

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Most popular questions from this chapter

In Fig. 43-10, the equation for n(K), the number density per unit energy for particles, n(K)=1.13nK1/2(kT)3/2e-KkTiswhere nis the total particle number density. At the center of the Sun, the temperature is1.50×107Kand the average proton energyKavgis 1.94 keV. Find the ratio of the proton number density at 5.00keVto the number density at the average proton energy.

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