Neurotransmitters are molecules that are released by nerve cells to other
cells in our bodies, and are needed for muscle motion, thinking, feeling, and
memory. Dopamine is a common neurotransmitter in the human brain.
(a) Predict what kind of reaction dopamine is most likely to undergo in water:
redox, acid-base, precipitation, or metathesis? Explain your reasoning.
(b) Patients with Parkinson's disease suffer from a shortage of dopamine and
may need to take it to reduce symptoms. An IV (intravenous fluid) bag is
filled with a solution that contains \(400.0 \mathrm{mg}\) dopamine per \(250.0
\mathrm{~mL}\) of solution. What is the concentration of dopamine in the IV bag
in units of molarity? (c) Experiments with rats show that if rats are dosed
with \(3.0 \mathrm{mg} / \mathrm{kg}\) of cocaine (that is, \(3.0 \mathrm{mg}\)
cocaine per \(\mathrm{kg}\) of animal mass), the concentration of dopamine in
their brains increases by \(0.75 \mu M\) after 60 seconds. Calculate how many
molecules of dopamine would be produced in a rat (average brain volume \(5.00
\mathrm{~mm}^{3}\) ) after 60 seconds of a \(3.0 \mathrm{mg} / \mathrm{kg}\) dose
of cocaine.