Hw 6 - NUCL 200 Introduction to Nuclear Engineering Spring 2008 NUCL 200 Introduction to Nuclear Engineering Due Date Monday by 5 pm Spring 2008

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Unformatted text preview: NUCL 200: Introduction to Nuclear Engineering Spring 2008 NUCL 200: Introduction to Nuclear Engineering Due Date: Monday, April 14, 2008 by 5 pm. Spring 2008 Homework 6 Homework 6 Purdue University, School of Nuclear Engineering NUCL 200: Introduction to Nuclear by 5 pm. Due Date: Monday, April 14, 2008 Engineering Spring Semester 2009 H6-01 (20 pts) A batch of radioactive waste from a processing plant contains the following isotopes: 1. (20 pts) A H6-01 (20 pts) A batch of radioactive waste from a processing plant contains Isotope Half-life Fission yield,% batch ofthe following I-131 from a processing plant contains the following radioactive isotopes: 8 days waste 2.9 Ce-141 33 days 6 Ce-144 284 days 6.1 Isotope Half-life Fission yield,% Cs-137 30 days 5.9 I-131 8 yr 2.9 7 I-129 16 Ce-141 1.7 10 yr 33 days Homework 6 Due Friday, April 17, 2009 isotopes: 2. 3. 4. Ce-144 284 days 6.1 Assume that theCs-137 activityyr t = 0 is 5.9 initial proportional to and 30 at 7 plot the fission yield, I-129 on a semilog yr the activity of each for times show 1.7 10 1 ranging from 0 to 100 yr. Form the total and identify which isotope dominates that at =times. Assume at various 0 is proportional to and the fission yield, show on a semilog plot Assuming that the initial activity thet initial activity at t = 0 is proportional to and the fission yield, show on a semilog plot theyr. Formof each forand identify which isotope the activity of each isotope for remains of biological 0 to 100 activity the total times from origin indicate that the abundance H6-02 (15 pts) Fossil times rangingForm the ranging yr. 14 C is one tenth of its dominates at various times.from 0 to 100 value in livingtotal and identify which isotope of dominates at various times. organisms today. Estimate the age of the fossil. (15 pts) (15 pts) Fossil pts) Fossil remains of biologicalindicate that the abundance of 14C is one tenth of its H6-02 (15 remains of biological origin origin indicate that the abundance H6-03 (10 pts) Discuss the of itsthe age radiometric dating based on carbonvalue in living organisms today. tenth suitability of of the organisms today. Estimate the of 14 C is one Estimate value in living fossil. 14age of the fossil. and uranium-lead decay to typical applications in archeology, geology, etc.. (10 pts) Discuss the suitability of radiometric dating based on carbon-14 and uranium-lead decay to H6-03 based on typical applications (10archeology, geology, etc. of radiometric dating the signalcarbonin pts) Discuss the suitability H6-04 (15 pts) A radioisotope is to to typical applications in archeology, geolfor ar14 and uranium-lead decay be selected to provide rival ofetc.. ogy, a new grade of oil in a 500-mile-long pipe line, in which the (10 pts) A radioisotope is to is 3selectedSome of the the signal for arrival of a new grade of oil in a 500fluid speed be ft/sec. to provide candidates are: mile-long pipe line, (15 which the fluid speed to 3 ft/sec. Some of the the signal for arH6-04 in pts) A radioisotope is is be selected to provide candidates are: rival of a new grade of oil in a 500-mile-long pipe line, in which the fluid speed Isotope Half-life the candidates are: is 3 ft/sec. Some of Particle,energy (MeV) Na-24 14.96 h 1.389; 1.369, 2.754 S-35 87.9 d 0.167 Isotope Half-life Particle,energy (MeV) Co-60 5.263 y 0.314; 1.173, 1.332 Na-24 14.96 h 1.389; 1.369, 2.754 Fe-59 45 d 1.57; 1.095, 1.292 S-35 87.9 d 0.167 5.263 y to accomplish this task. Choose anCo-60 appropriate radioisotope0.314; 1.173, 1.332 Explain Choose an appropriate which criteria determine d choice. task.1.095, 1.292 radioisotope to accomplish 1.57; Explain which criteria determine your this Fe-59 45 your choice. 5. (15 pts) A range Their bandgaps are listed as follows: H6-05 (15 pts) A range of semiconductors is available for construction of an energy-sensitive radiation detector. Their bandgaps are listed as folof semiconductors is available for construction of an energy-sensitive lows: radiation detector. Material Bandgap (eV) Si 1.16 Ge 0.72 CdTe 1.52 CZT 1.64 HgI2 2.13 InSb 0.23 Choose an appropriate radioisotope to accomplish this task. Explain Which semiconductor your potentially exhibit the best energy reswhich criteria determine could choice. Which semiconductor could potentiallyWhat is this maximum energy resolutionandthis What is this olution and why? exhibit the best energy resolution in why? H6-05 (15 pts) A this in % if a -ray deposits 1if a of construction detec- of energy in the semiconductor of semiconductors is % MeV -ray deposits 1 MeV maximum energy resolution in rangesemiconductor in availablefor energy in theof an energy-sensitive radiation detector. Their bandgaps are listed as foltor? detector and 3 eV is expended per generation of a free carrier for this semiconductor? lows: H6-06 (10 pts) Explain the reason why semiconductor detectors typically exhibit better energy resolution than scintillation detectors. Material Bandgap (eV) Si 1.16 H6-07 (15 pts) Prior to the Ge neutron activation analysis experiment two sam0.72 ples are prepared: aCdTe measured sample of unknown composition 10 g 1.52 and a 25 g comparison sample 1.64 containing pure stable isotope of Ca CZT and a very small amount of contaminant. Their initial activities are HgI2 2.13 constant and equal 0.1 Ci and 0.2 Ci, respectively. Following the InSb 0.23 neutron activation analysis experiment the measured sample exhibits 6. (10 pts) Explain the reason why semiconductor detectors typically exhibit better energy resolution than scintillation detectors. 7. (15 pts) Prior to the neutron activation analysis experiment two samples are prepared: a 10 g measured sample of unknown composition and a 25 g comparison sample containing pure stable isotope of Ca and a very small amount of contaminant. Their initial activities are constant and equal 0.1 Ci and 0.2 Ci, respectively. Following the neutron activation analysis experiment the measured sample exhibits an activity of 0.5 Ci, while the comparison sample exhibits an activity of 2 Ci. Assuming the additional activity is due only to Ca activation, how much Ca in g is in the measured sample? L&B: Introduction to Nuclear Engineering by John R. Lamarsh and Anthony J. Baratta. ...
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This note was uploaded on 05/02/2009 for the course NUCL 200 taught by Professor Jovanoic during the Spring '08 term at Purdue University-West Lafayette.

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