Chemistry for Engineering Students
Chemistry for Engineering Students
4th Edition
ISBN: 9781337398909
Author: Lawrence S. Brown, Tom Holme
Publisher: Cengage Learning
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Chapter 14, Problem 14.53PAE
Interpretation Introduction

To determine: The amount of energy released in the fusion of 1kg of 235U according to the equation

92235U+01n52137Te+4097Zr+201n

Expert Solution
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Explanation of Solution

92235U+01n52137Te+4097Zr+201n

Apply Einstein’s equation

E=Δmc2

Δm= Mass of product mass of reactant

C: speed of light.

Mass of 1 atom of U=235.0439231u(given)

Mass of 1 neutron =1.0086649u(given)

Mass of 1 atom of Te=136.92532u(given)

Mass of 1 atom of Zr=96.91095u(given)

Mass of reactant

=mU+mn=235.0439231u+1.0086649u=236.0525880u

Mass of product

=mTe+mZr+2(mn)=136.92532u+96.91095u+(2×1.0086649)u=235.8535989u

Δm=mass of productmass of reactants=235.85359984u236.0525880u=0.1989882u

Energy released in the fusion of the U-atom =(0.1989882u)×C2

1u=1.66053886×1027kgC=3×108m/s

=(Δm)C2=(0.1989882×1.66053886× 10 27kg)×(3× 10 8m/s)2=2.96973535×1011J

No of moles in 1 kg U =mass of U in grammolar mass

=1×1000gram235.0439231g/mol

So no of atoms in 1 kg of U=no. of moles × NA( NA=Avogadro's no)

 NA=6.0221415×1023 atom/mol

(Putting values)

=1000gram235.0439231g/mol×6.0221415×1023atom/mol=100×6.0221415× 10 23235.0439231atoms

So total amount of energy released

=(amount of energy released in fusion one atom)×total number of atoms=2.96973535×1011J/atom×1000×6.0221415× 10 23235.0439231atoms=7.6089×1013J

Hence energy released per kg of U =7.6089×1013J

Conclusion

Energy released by U =7.6089×1013J

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Chapter 14 Solutions

Chemistry for Engineering Students

Ch. 14 - Prob. 14.1PAECh. 14 - Prob. 14.2PAECh. 14 - Prob. 14.3PAECh. 14 - Prob. 14.4PAECh. 14 - (a) How does 14C enter a living plant? (b) Write...Ch. 14 - Prob. 14.6PAECh. 14 - Prob. 14.7PAECh. 14 - Prob. 14.8PAECh. 14 - Prob. 14.9PAECh. 14 - Prob. 14.10PAECh. 14 - Prob. 14.11PAECh. 14 - Prob. 14.12PAECh. 14 - Prob. 14.13PAECh. 14 - Prob. 14.14PAECh. 14 - Prob. 14.15PAECh. 14 - Prob. 14.16PAECh. 14 - Prob. 14.17PAECh. 14 - Prob. 14.18PAECh. 14 - Prob. 14.19PAECh. 14 - Prob. 14.20PAECh. 14 - Prob. 14.21PAECh. 14 - Prob. 14.22PAECh. 14 - Prob. 14.23PAECh. 14 - Prob. 14.24PAECh. 14 - Prob. 14.25PAECh. 14 - Prob. 14.26PAECh. 14 - Prob. 14.27PAECh. 14 - Prob. 14.28PAECh. 14 - Prob. 14.29PAECh. 14 - Prob. 14.30PAECh. 14 - Prob. 14.31PAECh. 14 - Prob. 14.32PAECh. 14 - Prob. 14.33PAECh. 14 - Prob. 14.34PAECh. 14 - Prob. 14.35PAECh. 14 - Prob. 14.36PAECh. 14 - Prob. 14.37PAECh. 14 - Prob. 14.38PAECh. 14 - Prob. 14.39PAECh. 14 - Prob. 14.40PAECh. 14 - Prob. 14.41PAECh. 14 - Prob. 14.42PAECh. 14 - Prob. 14.43PAECh. 14 - Prob. 14.44PAECh. 14 - Prob. 14.45PAECh. 14 - Prob. 14.46PAECh. 14 - Prob. 14.47PAECh. 14 - Prob. 14.48PAECh. 14 - Prob. 14.49PAECh. 14 - Prob. 14.50PAECh. 14 - Prob. 14.51PAECh. 14 - Prob. 14.52PAECh. 14 - Prob. 14.53PAECh. 14 - Prob. 14.54PAECh. 14 - Prob. 14.55PAECh. 14 - Prob. 14.56PAECh. 14 - Prob. 14.57PAECh. 14 - Prob. 14.58PAECh. 14 - Prob. 14.59PAECh. 14 - Prob. 14.60PAECh. 14 - Prob. 14.61PAECh. 14 - Prob. 14.62PAECh. 14 - Prob. 14.63PAECh. 14 - Prob. 14.64PAECh. 14 - Prob. 14.65PAECh. 14 - Prob. 14.66PAECh. 14 - Prob. 14.67PAECh. 14 - Prob. 14.68PAECh. 14 - Prob. 14.69PAECh. 14 - Prob. 14.70PAECh. 14 - Prob. 14.71PAECh. 14 - Prob. 14.72PAECh. 14 - Prob. 14.73PAECh. 14 - Prob. 14.74PAECh. 14 - Prob. 14.75PAECh. 14 - Prob. 14.76PAECh. 14 - Prob. 14.77PAECh. 14 - Prob. 14.78PAECh. 14 - Prob. 14.79PAECh. 14 - Prob. 14.80PAECh. 14 - Prob. 14.81PAECh. 14 - Prob. 14.82PAECh. 14 - Prob. 14.83PAECh. 14 - Prob. 14.84PAECh. 14 - Prob. 14.85PAECh. 14 - Prob. 14.86PAECh. 14 - Prob. 14.87PAECh. 14 - Prob. 14.88PAECh. 14 - Prob. 14.89PAECh. 14 - Prob. 14.90PAECh. 14 - Prob. 14.91PAECh. 14 - Prob. 14.92PAECh. 14 - Prob. 14.93PAECh. 14 - Prob. 14.94PAECh. 14 - Prob. 14.95PAECh. 14 - Prob. 14.96PAECh. 14 - Prob. 14.97PAECh. 14 - Prob. 14.98PAECh. 14 - Prob. 14.99PAECh. 14 - Prob. 14.100PAECh. 14 - Prob. 14.101PAECh. 14 - Prob. 14.102PAECh. 14 - Prob. 14.103PAECh. 14 - Prob. 14.104PAECh. 14 - Prob. 14.105PAECh. 14 - Prob. 14.106PAECh. 14 - Prob. 14.107PAE
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