General Chemistry - Standalone book (MindTap Course List)
General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN: 9781305580343
Author: Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher: Cengage Learning
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Chapter 20, Problem 20.97QP
Interpretation Introduction

Interpretation:

Energy released when 4.50kg of U-235 undergoes given fission process and compare this energy with heat released when 4.50kg graphite burns to Carbon dioxide gas.

Expert Solution & Answer
Check Mark

Answer to Problem 20.97QP

  • Energy released when 4.50kg of U-235 undergoes given fission is -5.419×1014J .
  • The energy released is high than the energy released by 4.50kg of Carbon.

Explanation of Solution

Given:

Mass of I-136 nuclei = 135.8401 amu

Mass of Y-96 nuclei = 95.8629 amu

Nuclear mass of U-235= 235.04392amu-(92×0.000549amu)=234.993412amuNuclear mass of I-135=135.8401amu-(53×0.000549amu)=135.811003amuNuclear mass of Y-96 = 95.86amu-(39×0.000549amu)=95.841489amu

Write the appropriate nuclear mass below each nuclide symbol and calculate change in mass.

0192235531363996Y          + 401nMasses: 1.008665234.993412135.81100395.8414891.008665amuΔm =[135.811003+95.841489+1×008665-(1.008665+234.99934120)]amu= - 0.314925amu

When 1 mol U-235 are undergo fission process, the change in mass is -0.314925 g . Therefore, for 4.50kg of U-235, the mass change is

4.50×103g U-235×1mol U-235235.04392g U-235×-0.314925g1.00728 U-235= -6.029g

Converting mass to energy gives,

ΔE=(Δm)c2=(-6.029×10-3kg)(2.998×108m/s)2=-5.419×1014J

For the combustion of Carbon:

C(graphite)+ O2(g)CO2(g)ΔHf000-394kJ/molForthereaction,ΔH=ΔE=-394kJ/mol4.50×1031molC12.01gC×-394kJ1molC= -1.476×105kJ=1.48×105kJ

To compare the two quantities, take the ratio of two:

E(U-235)E(C(graphite))=-5.419×1011kJ1mol C=-1.476×105kJ

In the fusion process the energy released from 4.50kg U-235 ( 5.42×1011kJ) is more than 3 million times larger than the energy released by burning 4.50kg of graphite which is equal to 1.48×105kJ .

Conclusion

  • Energy released when 4.50kg of U-235 undergoes given fission was calculated as -5.419×1014J .
  • The energy released in this process was high than the energy released by 4.50kg of Carbon.

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Chapter 20 Solutions

General Chemistry - Standalone book (MindTap Course List)

Ch. 20.4 - Prob. 20.9ECh. 20.4 - Prob. 20.10ECh. 20.4 - Prob. 20.11ECh. 20.4 - Prob. 20.3CCCh. 20.6 - Prob. 20.12ECh. 20 - Prob. 20.1QPCh. 20 - Prob. 20.2QPCh. 20 - Prob. 20.3QPCh. 20 - Prob. 20.4QPCh. 20 - Prob. 20.5QPCh. 20 - Prob. 20.6QPCh. 20 - Prob. 20.7QPCh. 20 - Prob. 20.8QPCh. 20 - Prob. 20.9QPCh. 20 - Prob. 20.10QPCh. 20 - Prob. 20.11QPCh. 20 - Prob. 20.12QPCh. 20 - Prob. 20.13QPCh. 20 - Prob. 20.14QPCh. 20 - Prob. 20.15QPCh. 20 - Prob. 20.16QPCh. 20 - Prob. 20.17QPCh. 20 - Prob. 20.18QPCh. 20 - Prob. 20.19QPCh. 20 - Prob. 20.20QPCh. 20 - Prob. 20.21QPCh. 20 - Prob. 20.22QPCh. 20 - Prob. 20.23QPCh. 20 - Prob. 20.24QPCh. 20 - Prob. 20.25QPCh. 20 - Prob. 20.26QPCh. 20 - Prob. 20.27QPCh. 20 - Prob. 20.28QPCh. 20 - Prob. 20.29QPCh. 20 - Prob. 20.30QPCh. 20 - Prob. 20.31QPCh. 20 - Prob. 20.32QPCh. 20 - Prob. 20.33QPCh. 20 - Prob. 20.34QPCh. 20 - Prob. 20.35QPCh. 20 - Prob. 20.36QPCh. 20 - Prob. 20.37QPCh. 20 - Prob. 20.38QPCh. 20 - Prob. 20.39QPCh. 20 - Prob. 20.40QPCh. 20 - Prob. 20.41QPCh. 20 - Prob. 20.42QPCh. 20 - Prob. 20.43QPCh. 20 - Prob. 20.44QPCh. 20 - Prob. 20.45QPCh. 20 - Prob. 20.46QPCh. 20 - Prob. 20.47QPCh. 20 - Prob. 20.48QPCh. 20 - Prob. 20.49QPCh. 20 - Prob. 20.50QPCh. 20 - Prob. 20.51QPCh. 20 - Prob. 20.52QPCh. 20 - Fill in the missing parts of the following...Ch. 20 - Fill in the missing parts of the following...Ch. 20 - Prob. 20.55QPCh. 20 - Prob. 20.56QPCh. 20 - Prob. 20.57QPCh. 20 - Prob. 20.58QPCh. 20 - Prob. 20.59QPCh. 20 - Prob. 20.60QPCh. 20 - Prob. 20.61QPCh. 20 - Prob. 20.62QPCh. 20 - Prob. 20.63QPCh. 20 - Prob. 20.64QPCh. 20 - Prob. 20.65QPCh. 20 - Prob. 20.66QPCh. 20 - Prob. 20.67QPCh. 20 - Prob. 20.68QPCh. 20 - Prob. 20.69QPCh. 20 - Prob. 20.70QPCh. 20 - Prob. 20.71QPCh. 20 - Prob. 20.72QPCh. 20 - Prob. 20.73QPCh. 20 - Prob. 20.74QPCh. 20 - Prob. 20.75QPCh. 20 - Prob. 20.76QPCh. 20 - Prob. 20.77QPCh. 20 - Prob. 20.78QPCh. 20 - Find the change of mass (in grams) resulting from...Ch. 20 - Find the change of mass (in grams) resulting from...Ch. 20 - Prob. 20.81QPCh. 20 - Prob. 20.82QPCh. 20 - Prob. 20.83QPCh. 20 - Prob. 20.84QPCh. 20 - Prob. 20.85QPCh. 20 - Prob. 20.86QPCh. 20 - Prob. 20.87QPCh. 20 - Prob. 20.88QPCh. 20 - Prob. 20.89QPCh. 20 - Prob. 20.90QPCh. 20 - Prob. 20.91QPCh. 20 - Prob. 20.92QPCh. 20 - Prob. 20.93QPCh. 20 - Prob. 20.94QPCh. 20 - Prob. 20.95QPCh. 20 - Prob. 20.96QPCh. 20 - Prob. 20.97QPCh. 20 - Prob. 20.98QPCh. 20 - Prob. 20.99QPCh. 20 - Prob. 20.100QPCh. 20 - Prob. 20.101QPCh. 20 - Prob. 20.102QPCh. 20 - Prob. 20.103QPCh. 20 - Prob. 20.104QPCh. 20 - Prob. 20.105QPCh. 20 - Prob. 20.106QPCh. 20 - Prob. 20.107QPCh. 20 - Prob. 20.108QPCh. 20 - Prob. 20.109QPCh. 20 - Prob. 20.110QPCh. 20 - Prob. 20.111QPCh. 20 - Prob. 20.112QPCh. 20 - Prob. 20.113QPCh. 20 - Prob. 20.114QPCh. 20 - Prob. 20.115QPCh. 20 - Prob. 20.116QPCh. 20 - Prob. 20.117QPCh. 20 - Prob. 20.118QPCh. 20 - Prob. 20.119QPCh. 20 - Prob. 20.120QPCh. 20 - Prob. 20.121QPCh. 20 - Prob. 20.122QPCh. 20 - Prob. 20.123QPCh. 20 - Prob. 20.124QPCh. 20 - Prob. 20.125QPCh. 20 - Prob. 20.126QPCh. 20 - Prob. 20.127QPCh. 20 - Prob. 20.128QP
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