Chapter 10: Problem 12
Why is Earth's core molten?
Chapter 10: Problem 12
Why is Earth's core molten?
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Get started for freeA sample of radioactive material is obtained from a very old rock. A plot \(\ln A\) verses \(t\) yields a slope value of \(-10^{-9} \mathrm{s}^{-1}\) (see Figure \(10.10(\mathrm{b})\) ). What is the half-life of this material?
The \(\beta^{-}\) particles emitted in the decay of \(^{3} \mathrm{H}\) (tritium) interact with matter to create light in a glowin-the-dark exit sign. At the time of manufacture, such a sign contains \(15.0 \mathrm{Ci}\) of \(^{3} \mathrm{H}\). (a) What is the mass of the tritium? (b) What is its activity 5.00 y after manufacture?
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 power. (a) What is the thermal nuclear power output in megawatts? (b) How many \(^{235}\) U nuclei fission each second, assuming the average fission produces \(200 \mathrm{MeV}\) ? (c) What mass of \(^{235} \mathrm{U}\) is fissioned in 1 year of full-power operation?
Write the complete decay equation in the complete \(_{Z}^{A} \mathrm{X}_{N}\) notation for the beta \(\left(\beta^{-}\right)\) decay of \(^{3} \mathrm{H}\) (tritium), a manufactured isotope of hydrogen used in some digital watch displays, and manufactured primarily for use in hydrogen bombs.
For the reaction, \(n+^{3} \mathrm{He} \rightarrow^{4} \mathrm{He}+\gamma,\) find the amount of energy transfers to \(^{4} \mathrm{He}\) and \(\gamma\) (on the right side of the equation). Assume the reactants are initially at rest. (Hint: Use conservation of momentum principle.)
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