University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 43, Problem 43.2DQ
To determine
To explain: Whether it makes physical sense that as the total number of nucleons becomes larger, the importance of the second term in the nuclear binding energy equation
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Identify the unknown particle X in the following nuclear reaction equations. (Enter your answers in the form x.)
Z
(a) He + X→
(b) He + X→ 109Ag + H
+
256
101 Md +
235
92
U→X+
96
37
1
(d) x + ³H2He + n
chemPad
X.Xº
chemPad
XX
14
J.
chemPad
X₁X² →
chemPad
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Use the below values for this problem. Please note that the mass for H is for the entire atom (proton & electron).
Neutron: m = 1.67493x10-27 kg = 1.008665 u = 939.57 MeV/c²
.
¹H: mH = 1.67353x10-27 kg = 1.007825 u = 938.78 MeV/c²
1
1 u = 1.6605x10-27 kg = 931.5 MeV/c²
.
Consider the following decay: 239 Pu 235 U+ a. 239 Pu has a mass of 239.0521634 u, 235 U has a mass of 235.0439299 u, and a has a mass of 4.002603 u.
94
92
94
92
Determine the disintegration energy (Q-value) in MeV.
Q =
Determine the binding energy (in MeV) for 239 Pu.
94
EB =
Consider the nuclear fusion reaction
3H+ 'He > 'H + 'He.
Part A
Compute the binding energy of the H.
Express your answer in mega-electron volts to three significant figures.
B =
MeV
Submit
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Part B
Compute the binding energy of the He.
Express your answer in mega-electron volts to three significant figures.
?
B =
MeV
Submit
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Part C
Compute the binding energy of the H.
Express your answer in mega-electron volts to three significant figures.
?
B =
MeV
Submit
Request Answer
Part D
Compute the binding energy of the "He.
Express your answer in mega-electron volts to three significant figures.
B =
MeV
Chapter 43 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 43.1 - Prob. 43.1TYUCh. 43.2 - Rank the following nuclei in order from largest to...Ch. 43.3 - Prob. 43.3TYUCh. 43.4 - Prob. 43.4TYUCh. 43.5 - Prob. 43.5TYUCh. 43.6 - Prob. 43.6TYUCh. 43.7 - Prob. 43.7TYUCh. 43.8 - Prob. 43.8TYUCh. 43 - Prob. 43.1DQCh. 43 - Prob. 43.2DQ
Ch. 43 - Prob. 43.3DQCh. 43 - Prob. 43.4DQCh. 43 - Prob. 43.5DQCh. 43 - Prob. 43.6DQCh. 43 - Prob. 43.7DQCh. 43 - Prob. 43.8DQCh. 43 - Prob. 43.9DQCh. 43 - Prob. 43.10DQCh. 43 - Prob. 43.11DQCh. 43 - Prob. 43.12DQCh. 43 - Prob. 43.13DQCh. 43 - Prob. 43.14DQCh. 43 - Prob. 43.15DQCh. 43 - Prob. 43.16DQCh. 43 - Prob. 43.17DQCh. 43 - The most common radium isotope found on earth,...Ch. 43 - Prob. 43.19DQCh. 43 - Prob. 43.20DQCh. 43 - Prob. 43.1ECh. 43 - Prob. 43.2ECh. 43 - Prob. 43.3ECh. 43 - Prob. 43.4ECh. 43 - Prob. 43.5ECh. 43 - Prob. 43.6ECh. 43 - Prob. 43.7ECh. 43 - Prob. 43.8ECh. 43 - Prob. 43.9ECh. 43 - Prob. 43.10ECh. 43 - Prob. 43.11ECh. 43 - Prob. 43.12ECh. 43 - Prob. 43.13ECh. 43 - Prob. 43.14ECh. 43 - Prob. 43.15ECh. 43 - Prob. 43.16ECh. 43 - Prob. 43.17ECh. 43 - Prob. 43.18ECh. 43 - Prob. 43.19ECh. 43 - Prob. 43.20ECh. 43 - Prob. 43.21ECh. 43 - Prob. 43.22ECh. 43 - Prob. 43.23ECh. 43 - Prob. 43.24ECh. 43 - Prob. 43.25ECh. 43 - Prob. 43.26ECh. 43 - Measurements on a certain isotope tell you that...Ch. 43 - Prob. 43.28ECh. 43 - Prob. 43.29ECh. 43 - Prob. 43.30ECh. 43 - Prob. 43.31ECh. 43 - Prob. 43.32ECh. 43 - Prob. 43.33ECh. 43 - Prob. 43.34ECh. 43 - Prob. 43.35ECh. 43 - Prob. 43.36ECh. 43 - Prob. 43.37ECh. 43 - Prob. 43.38ECh. 43 - Prob. 43.39ECh. 43 - Prob. 43.40ECh. 43 - Prob. 43.41ECh. 43 - Energy from Nuclear Fusion. Calculate the energy...Ch. 43 - Prob. 43.43ECh. 43 - Prob. 43.44ECh. 43 - Prob. 43.45ECh. 43 - Prob. 43.46ECh. 43 - Prob. 43.47PCh. 43 - Prob. 43.48PCh. 43 - Prob. 43.49PCh. 43 - Prob. 43.50PCh. 43 - Prob. 43.51PCh. 43 - Prob. 43.52PCh. 43 - Prob. 43.53PCh. 43 - Prob. 43.54PCh. 43 - Prob. 43.55PCh. 43 - Prob. 43.56PCh. 43 - Prob. 43.57PCh. 43 - Prob. 43.58PCh. 43 - Prob. 43.59PCh. 43 - Prob. 43.60PCh. 43 - Prob. 43.61PCh. 43 - Prob. 43.62PCh. 43 - Prob. 43.63PCh. 43 - Prob. 43.64PCh. 43 - Prob. 43.65PCh. 43 - Prob. 43.66PCh. 43 - Prob. 43.67PCh. 43 - Prob. 43.68PCh. 43 - DATA Your company develops radioactive isotopes...Ch. 43 - Prob. 43.70PCh. 43 - Prob. 43.71CPCh. 43 - Prob. 43.72CPCh. 43 - Prob. 43.73PPCh. 43 - Prob. 43.74PPCh. 43 - Prob. 43.75PPCh. 43 - Prob. 43.76PPCh. 43 - Prob. 43.77PP
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- The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?arrow_forwardThe electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical power. What is the thermal nuclear power output in megawatts? How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? What mass of 235U is fissioned in 1 year of full-power operation?arrow_forwardIf two nuclei are to fuse in a nuclear reaction, they must be moving fast enough so that the repulsive Coulomb force between them does not prevent them for getting within R1014mof one another. At this distance or nearer, the attractive nuclear force can overcome the Coulomb force, and the nuclei are able to fuse. (a) Find a simple formula that can be used to estimate the minimum kinetic energy the nuclei must have if they are to fuse. To keep the calculation simple, assume the two nuclei are identical and moving toward one another with the same speed v. (b) Use this minimum kinetic energy to estimate the minimum temperature a gas of the nuclei must have before a significant number of them will undergo fusion. Calculate this minimum temperature first for hydrogen and then for helium. (Hint: For fusion to occur, the minimum kinetic energy when the nuclei are far apart must be equal to the Coulomb potential energy when they are a distance R apart.)arrow_forward
- (a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forwardUnreasonable Results The relatively scarce naturally occurring calcium isotope 48Ca has a halflife at about 21016y. (a) A small sample of this isotope is labeled as having an activity of 1.0 Ci. What is the mass of the 48Ca in the sample? (b) What is unreasonable about this result? (c) What assumption is responsible?arrow_forward(a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forward
- (a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward(a) If the average molecular mass of compounds in food is 50.0 g, how many molecules are mere in 1.00 kg at food? (b) How many ion pairs are created in 1.00 kg of food, if it is exposed to 1000 Sv and it takes 32.0 eV to create an ion pair? (c) Find the ratio of ion pairs to molecules. (d) If these ion pairs recombine into a distribution of 2000 new compounds, how many parts per billion is each?arrow_forwardNo stable nuclides exist that have Z greater than ___. (10.3)arrow_forward
- Integrated Concepts: (a) What temperature gas would have atoms moving fast enough to bring two 3He nuclei into contact? Note that, because both are moving, the average kinetic energy only needs to be half the electric potential energy of these doubly charged nuclei when just in contact with one another. (b) Does this high temperature imply practical difficulties for doing this in controlled fusion?arrow_forwardDerive an approximate relationship between the energy of (decay and halflife using the following data. It may be useful to graph the leg t1/2 against Ea to find some straightline relationship. Table 31.3 Energy and HalfLife for (Decay Nuclide E( (MeV) t1/2 216Ra 9.5 0.18 (s 194Po 7.0 0.7 s 240Cm 6.4 27 d 226Ra 4.91 1600 y 232Th 4.1 1.41010yarrow_forwardData from the appendices and the periodic table may be needed for these problems. Unreasonable Results (a) Repeat Exercise 31.57 but include the 0.0055% natural abundance of 234U with its 2.45105y halflife. (b) What is unreasonable about this result? (c) What assumption is responsible? (d) Where does the 234U come from if it is not primordial?arrow_forward
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