Calculate the quantity of energy produced per gram of U-235 (atomic mass = 235.043922 amu) for the neutron-induced fission of U-235 to form Xe-144 (atomic mass = 143.9385 amu) and Sr-90 (atomic mass = 89.907738 amu) (discussed in Problem 57).
Ch.20 - Radioactivity and Nuclear Chemistry
Chapter 20, Problem 72
Calculate the quantity of energy produced per gram of reactant for the fusion of H-3 (atomic mass = 3.016049 amu) with H-1 (atomic mass = 1.007825 amu) to form He-4 (atomic mass = 4.002603 amu).
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Identify the nuclear reaction: \( \text{H-3} + \text{H-1} \rightarrow \text{He-4} \).
Calculate the mass defect: \( \Delta m = (\text{mass of H-3} + \text{mass of H-1}) - \text{mass of He-4} \).
Convert the mass defect from atomic mass units (amu) to kilograms using the conversion factor: 1 amu = 1.66053906660 \times 10^{-27} \text{ kg}.
Use Einstein's equation \( E = \Delta m c^2 \) to calculate the energy released, where \( c \) is the speed of light \( 3.00 \times 10^8 \text{ m/s} \).
Calculate the energy produced per gram of reactant by dividing the total energy by the total mass of the reactants in grams.
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Textbook Question
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Textbook Question
Calculate the quantity of energy produced per mole of U-235 (atomic mass = 235.043922 amu) for the neutron-induced fission of U-235 to produce Te-137 (atomic mass = 136.9253 amu) and Zr-97 (atomic mass = 96.910950 amu) (discussed in Problem 58).
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Open Question
Calculate the quantity of energy produced per gram of reactant for the fusion of two H-2 (atomic mass = 2.014102 amu) atoms to form He-3 (atomic mass = 3.016029 amu) and one neutron.
Textbook Question
A 75-kg human has a dose of 32.8 rad of radiation. How much energy is absorbed by the person's body? Compare this energy to the amount of energy absorbed by the person's body if he or she jumped from a chair to the floor (assume that the chair is 0.50 m from the ground and that all of the energy from the fall is absorbed by the person).
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Open Question
If a 55-gram laboratory mouse is exposed to a dose of 20.5 rad of radiation, how much energy is absorbed by the mouse’s body?
Open Question
PET studies require fluorine-18, which is produced in a cyclotron and decays with a half-life of 1.83 hours. Assuming that the F-18 can be transported at 60.0 miles/hour, how close must the hospital be to the cyclotron if 65% of the F-18 produced makes it to the hospital?