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Chapter 43: Q10P (page 1331)

Calculate the energy released in the fission reaction

U235+n鈫�Cs141+Rb93+2n

Here are some atomic and particle masses.

U235235.04392uRb9392.92157uCs141140.91964un1.00866u

Short Answer

Expert verified

The released energy in fission reaction is 181. MeV.

Step by step solution

01

Given data

The mass of U235,mu=235.04392u

The mass of R93b,mRb=92.92157u

The mass of C147s,mCs=140.91963u

The mass of n,n=1.00866

02

Determine the energy released in the fission reaction.

The expression to calculate released energy is given as follows.

Q=-鈭�mc2Q=(mu+mn-mCs-mRb-2mn)c2 ...(i)

03

Calculate the released energy in the fission reaction.

Calculate the released energy.

Substitute 235.04392u for m2=92.92157u, for mRb,140.91963u for mCs,1.00866u forn and 931.5MeV/u forc2 into equation (i).

Q=(235.04392u+1.00866u-140.91963u-92.92157-2脳1.00866u)脳931.5MeV/uQ=(235.04392+1.00866-140.91963-92.92157-2.01732)脳931.5MeVQ=0.19406脳931.5MeVQ=181鈥�MeV

Hence the released energy in fission reaction is 181..MeV

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Most popular questions from this chapter

The fission properties of the plutonium isotope Pu239are very similar to those of U235. The average energy released per fission is 180 MeV. How much energy, in MeV, is released if all the atoms in 1.0 kg of purePu239 undergo fission?

The natural fission reactor discussed in Module 43-3 is estimated to have generated 15 gigawatt-years of energy during its lifetime.

(a) If the reactor lasted for 200,000 y, at what average power level did it operate?

(b) How many kilograms of U235did it consume during its lifetime?

In the deuteron鈥搕riton fusion reaction of Eq. 43-15, what is the kinetic energy of (a) the alpha particle and (b) the neutron? Neglect the relatively small kinetic energies of the two combining particles.

The thermal energy generated when radiation from radio nuclides is absorbed in matter can serve as the basis for a small power source for use in satellites, remote weather stations, and other isolated locations. Such radio nuclides are manufactured in abundance in nuclear reactors and may be separated chemically from the spent fuel. One suitable radionuclide is 238Pu (T1/2=87.7y), which is an alpha emitter with Q = 5.50 Me V. At what rate is thermal energy generated in 1.00 kg of this material?

At the center of the Sun, the density of the gas is1.5脳105kg/m3 and the composition is essentially 35% hydrogen by mass and 65% helium by mass. (a) What is the number density of protons there? (b) What is the ratio of that proton density to the density of particles in an ideal gas at standard temperature (0掳C) and pressure(1.01脳105Pa) ?
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