Chapter 19: Problem 35
What is the difference between radioactive decay and nuclear transmutation?
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Chapter 19: Problem 35
What is the difference between radioactive decay and nuclear transmutation?
These are the key concepts you need to understand to accurately answer the question.
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An electron and a positron are accelerated to nearly the speed of light before colliding in a particle accelerator. The ensuing collision produces an exotic particle having a mass many times that of a proton. Does the result violate the law of conservation of mass?
The radioactive isotope \({ }^{238} \mathrm{Pu},\) used in pacemakers, decays by emitting an alpha particle with a half-life of 86 yr. (a) Write an equation for the decay process. (b) The energy of the emitted alpha particle is \(9.0 \times 10^{-13} \mathrm{~J},\) which is the energy per decay. Assuming that all the alpha particle energy is used to run the pacemaker, calculate the power output at \(t=0\) and \(t=10 \mathrm{yr} .\) Initially \(1.0 \mathrm{mg}\) of \({ }^{238} \mathrm{Pu}\) was present in the pacemaker. (Hint: After \(10 \mathrm{yr}\), the activity of the isotope decreases by 8.0 percent. Power is measured in watts or \(\mathrm{J} / \mathrm{s}\).
As of \(2011,\) elements 113 through 118 have all been synthesized. Element 113 (Uut) was formed by the alpha decay of element 115 (Uup); element 114 (Uuq) was created by bombarding \({ }^{244} \mathrm{Pu}\) with \({ }^{48} \mathrm{Ca}\); element 115 (Uup) was created by bombarding \({ }^{243} \mathrm{Am}\) with \({ }^{48} \mathrm{Ca}\); element 116 (Uuh) was created by bombarding \({ }^{248} \mathrm{Cm}\) with \({ }^{48} \mathrm{Ca}\); element 117 (Uus) was created by bombarding \({ }^{249} \mathrm{Bk}\) with \({ }^{48} \mathrm{Ca} ;\) element 118 (Uuo) was created by bombarding \({ }^{249} \mathrm{Cf}\) with \({ }^{48} \mathrm{Ca}\). Write an equation for each synthesis. Predict the chemical properties of these elements. (Before transuranium elements are given proper names, they are temporarily assigned three-letter symbols all starting with U.)
From the definition of curie, calculate Avogadro's number, given that the molar mass of \({ }^{226} \mathrm{Ra}\) is \(226.03 \mathrm{~g} / \mathrm{mol}\) and that it decays with a half-life of \(1.6 \times 10^{3} \mathrm{yr}\)
A freshly isolated sample of \({ }^{90} \mathrm{Y}\) was found to have an activity of \(9.8 \times 10^{5}\) disintegrations per minute at 1: 00 P.M. on December 3,2003 . At 2: 15 P.M. on December \(17,2003,\) its activity was redetermined and found to be \(2.6 \times 10^{4}\) disintegrations per minute. Calculate the half-life of \({ }^{90} \mathrm{Y}\).
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