Chapter 43: Q7P (page 1331)

At what rate must ${}^{235}U$ nuclei 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. $3.12 \times 10^{10} s^{- 1}$ .

Step by step solution

Given data

The generated energy, P =1 W

The released energy, Q =200 MeV

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.

$R = \frac{P}{Q}$ ...(i)

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).

$R = \frac{1 W}{200 MeV} R = \frac{1 W}{200 \times 10^{6} eV} R = \frac{1 W}{200 \times 10^{6} \times 1.6 \times 10^{19} J} R = \frac{1}{3.2 \times 10^{11}}$

Solve further as,

$R = \frac{10^{11}}{3.2} R = \frac{10 \times 10^{10}}{3.2} R = 3.12 \times 10^{10} s^{- 1}$

Hence the rate at which nuclei undergo fission by neutron bombardment $3.12 \times 10^{10} s^{- 1}$ .

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At what rate must ${}^{235}U$ nuclei undergo fission by neutron bombardment to generate energy at the rate of 1.00 W? Assume that Q=200 MeV.

Short Answer

Step by step solution

Given data

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

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

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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

Step by step solution

Given data

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Modern Physics

Turning Points in Physics

Linear Momentum

Electrostatics

Torque and Rotational Motion

Electricity and Magnetism

Study anywhere. Anytime. Across all devices.

At what rate must ${}^{235}U$ nuclei undergo fission by neutron bombardment to generate energy at the rate of 1.00 W? Assume that Q=200 MeV.