(Solved): 1. The equation RT[B]= is called the Van't Hoff equation, where B is the solute. Also keep in min ...

1. The equation $RT[B]=\pi$ is called the Van't Hoff equation, where B is the solute. Also keep in mind that $\pi =\rho gh$, the symbols as given in class (recall the sketch we made). a. The concentration of $B$ is written as the molarity, $n/V=$ moles/liter. Show that the molarity can be written as $\mathrm{c}/\mathrm{M}$, where $\mathrm{M}$ is the molar mass and $\mathrm{c}$ is the concentration as grams/liter. b. Using the result in "a" and the Van't Hoff equation, show that $\frac{cRT}{\pi }=M$. c. In an experiment, a solution of hemoglobin is $1.00\mathrm{g}$ in $0.100{\mathrm{dm}}^3$ water. At 276.15 $\mathrm{K}$, the osmotic pressure results in a column that is $3.51\mathrm{cm}$ high. Use this to determine the molar mass of hemoglobin. (Answer: 66,700 g/mol). (You will have to look up some physical constant values on your own).