Chapter 21: Problem 2
What are the steps in balancing nuclear equations?
Chapter 21: Problem 2
What are the steps in balancing nuclear equations?
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Get started for freeThe quantity of a radioactive material is often measured by its activity (measured in curies or millicuries) rather than by its mass. In a brain scan procedure, a 70 -kg patient is injected with \(20.0 \mathrm{mCi}\) of \({ }^{99 \mathrm{~m}} \mathrm{Tc}\) which decays by emitting \(\gamma\) -ray photons with a halflife of \(6.0 \mathrm{~h}\). Given that the \(\mathrm{RBE}\) of these photons is 0.98 and only two-thirds of the photons are absorbed by the body, calculate the rem dose received by the patient. Assume all of the \({ }^{99 \mathrm{~m}}\) Tc nuclei decay while in the body. The energy of a gamma photon is \(2.29 \times 10^{-14} \mathrm{~J}\).
In each pair of isotopes shown, indicate which one you would expect to be radioactive: (a) \({ }_{10}^{20} \mathrm{Ne}\) and \({ }_{10}^{17} \mathrm{Ne},(\mathrm{b}){ }_{20}^{40} \mathrm{Ca}\) and \({ }_{20}^{45} \mathrm{Ca},(\mathrm{c}){ }_{44}^{95} \mathrm{Mo}\) and \({ }_{43}^{92} \mathrm{Tc},(\mathrm{d}){ }_{80}^{195} \mathrm{Hg}\) and \({ }^{196} \mathrm{Hg},\) (e) \({ }^{209} \mathrm{Bi}\) and \({ }_{96}^{242} \mathrm{Cm}\)
Each molecule of hemoglobin, the oxygen carrier in blood, contains four Fe atoms. Explain how you would use the radioactive \({ }_{26}^{59} \mathrm{Fe}\left(t_{\frac{1}{2}}=46\right.\) days) to show that the iron in a certain food is converted into hemoglobin.
Consider the decay series \(\mathrm{A} \longrightarrow \mathrm{B} \longrightarrow \mathrm{C} \longrightarrow \mathrm{D}\) where \(A, B,\) and \(C\) are radioactive isotopes with halflives of \(4.50 \mathrm{~s}, 15.0\) days, and \(1.00 \mathrm{~s},\) respectively, and \(\mathrm{D}\) is nonradioactive. Starting with 1.00 mole of A, and none of \(\mathrm{B}, \mathrm{C},\) or \(\mathrm{D},\) calculate the number of moles of \(\mathrm{A}, \mathrm{B}, \mathrm{C},\) and \(\mathrm{D}\) left after 30 days.
Why is strontium-90 a particularly dangerous isotope for humans?
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