The volume of blood in the body of a certain deep-sea diver is about \(6.00
\mathrm{~L}\). Blood cells make up about \(55 \%\) of the blood volume, and the
remaining \(45 \%\) is the aqueous solution called plasma. What is the maximum
volume of nitrogen measured at \(1.00 \mathrm{~atm}\) and \(37^{\circ}
\mathrm{C}\) that could dissolve in the diver's blood plasma at a depth of \(93
\mathrm{~m}\), where the pressure is \(10.0\) atm? (This is the volume that could
come out of solution suddenly, causing the painful and dangerous condition
called the bends, if the diver were to ascend too quickly.) Assume that
Henry's constant for nitrogen at \(37^{\circ} \mathrm{C}\) (body temperature) is
\(5.8 \times 10^{-4} \mathrm{~mol} \cdot \mathrm{L}^{-1}\)-atm \({ }^{-1}\).