Chemistry for Engineering Students
Chemistry for Engineering Students
3rd Edition
ISBN: 9781285199023
Author: Lawrence S. Brown, Tom Holme
Publisher: Cengage Learning
Question
Chapter 14, Problem 14.58PAE

(a)

Interpretation Introduction

To determine: What mass of octane C8H18 would have to undergo combustion to provide the same quantity of energy as that released by fission of one kilogram of 235U to produce 90Sr and 143Xe.

(a)

Expert Solution
Check Mark

Explanation of Solution

Write the balanced nuclear reaction.

92235U+01n3890Sr+54143NP+301n

Mass of reactant =mu+mn (putting the value from table)

=235.0439231u+1.0086649u=236.0525880u

Mass of product =mSr+mXe+3mn (putting the value from table)

=89.90773764+142.9348900u+3(1.0086649u)=235.8686223u

Δm=mass of productmass of eactant=235.8686223u236.0525880u=0.1839657u

Negative sign indicated so mass convert into energy so energy is released.

Energy released on one atom fission of u

=(0.1839657u)×C2

1u=1.66053886×1027KgC=3×108 m/s

Putting these values we get,

=(0.1839657×1.66053886× 10 27)×(3× 10 8)2J=2.7455370×1011J

Energy released per atom of 235U=2.7455370×1011J

No. of atoms in 1 kg of 235U=1000g235.044 g/mol×6.022×1023atoms/mol

So energy released in fission of 1 kg 235U=(2.7455370×1011J)×(1000235.044×6.022×1023)

=7.0342675×1013J

Combustion of octane

C8H18(l)+252O28CO2(g)+9H2O(l)ΔH=5471 kJ/mol

1 mole of c8H18(l) released 5471 kJ energy.

So no of moles released 7.0342675×1013J energy

=7.0342675× 10 13J5471× 103J=1.2857370×107 moles

Mass of moles =moles×molar mass

=1.2857370×107moles×114 g/mole=1465740180 gram=1465740.180 kg

Mass of octant =1465740.180 kg

(b)

Interpretation Introduction

To determine: the amount of gallons of octane in this

(b)

Expert Solution
Check Mark

Explanation of Solution

0.702 g1  cm3

( 1  cm 3 = 1 1000 L

1 g= 10 3  kg)=0.702× 10 3 kg1 1000L=0.702 kg/L

Volume of octane ( in L)=1465740.180 kg0.702 kg/L

1 gallon =3.78541 lit

1lit=13.78541gallon

=1465740.180 kg0.702 kg/L×13.78541 gallon/LIt

=551578 gallons

Hence gallons of octane required =551578 gallons

Conclusion

1 kg 235U Gives energy as 1.46×107 kg octane give.

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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. 14.103PAE
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