Introduction to Nuclear Reactor Physics 1st. Edition by Robert E. Masterson, ScD | 9781498751483 | 1498751482 | Holooly

Introduction to Nuclear Reactor Physics

179 SOLVED PROBLEMS

Question: 3.4

A neutron scatters off of a Carbon-12 nucleus, which is frequently used as a moderating material in thermal graphite reactors. If the scattering reaction is an elastic one, what is the average scattering angle of the neutron? What percentage of the initial kinetic energy of the neutron is lost in ...

Verified Answer:

The average scattering of the neutron is given by ...

Question: 5.9

Using Equations 5.75 through 5.78, estimate the percentage error in the fission and absorption rates when the fast neutrons are ignored in a thermal water reactor fuel rod. ...

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According to Equations 5.75 and 5.77, the differen...

Question: 22.2

In the P1 approximation, the angular neutron flux ϕ(r, E, u) can be written as the sum of two terms: Φ(r , E, u) = Φo(r ,E)Po(μ) + Φ1(r ,E)P1(μ) or Φ(r , E, u) = Φo + μΦ1 where Po(μ) and P1(μ) are the first two Legendre polynomials. What is the physical meaning of ϕo and ϕ1 in this case? ...

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In the

P_1

approximation,

ϕ_...

Question: 22.1

Suppose that the components of the angular neutron current along the x-axis, the y-axis, and the z-axis in a Cartesian coordinate system are given by Jx = 0.25 × 10^14 neutrons/cm²/s, Jy = 0.433 × 10^14 neutrons/cm²/s, and Jz = 0.866 × 10^14 neutrons/cm²/s. What is the neutron density n(r, E, Ω, t) ...

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The magnitude of the neutron density n(r, E, Ω, t)...

Question: 19.1

Calculate the values of the diffusion coefficients for water and uranium in a thermal water reactor just prior to start-up. ...

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In this case, the room temperature libraries from ...

Question: 17.9

In the previous example, how much additional reactivity has to be added to the core by withdrawing the control rods to keep the core critical when the average fuel temperature rises from 300°C to 1000°C? What is the value of this additional reactivity in pcm and in dollars and cents? ...

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In Example Problem 17.8, the initial reactivity of...

Question: 17.4

If the value of αF at a temperature of T is known to be −2.0 × 10^−5 per °K, what is the value of αF at a temperature of 4T? ...

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Since

α_{\mathrm{F}}=\frac{{C}}{\sqrt{T}\ln...

Question: 23.3

Suppose we would like to use the Monte Carlo method to find the paths of the particles emanating from an isotropic point source of strength S located at r = 0. In two dimensions (x and y), show how you would construct the logic so that the particles are emanated properly from the point source in ...

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If the point source is an isotropic source, we can...

Question: 7.5

Using the equations presented previously and assuming that the nuclear fuel is Uranium-233 instead of Uranium-235, estimate the number of grams of U-233 that must be consumed per day to produce 1000 MWT of recoverable power. ...

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From the equations presented previously, it can be...

Question: 5.12

According to Table 5.8, U-233, U-235, U-238, and Pu-249 are all non-1/v absorbers. If their absorption cross sections at 0.025 eV are 574.25 barns, 681.77, 2.717, and 1017.40 barns, what values should we use for their absorption cross sections for the entire thermal energy range? Assume the ...

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Their absorption cross sections for the entire the...

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