A liquid solution contains $1\mathrm{.}15wt\%$ of a protein, $0\mathrm{.}27wt\%$ of $KCl,$ and the remainder water. The average molecular weight of the protein by gel permeation is $525000g$ mass $\frac{?}{g}$ mol. Calculate the mole fraction of each component in solution.

An aqueous solution of NaCl has a concentration of $24w\%$NaCl with a density of $1\mathrm{.}178\frac{g}{c}{m}^3$ at $25C.$ calculate the following:

a$.$ Mole fraction of NaCl and water.

b$.$ Concentration of NaCl as:

i$.$ gmo$\frac{l}{?}$ Liter

ii$.l\frac{b_m}{f}{t}^3$

iii. $l\frac{b_m}{g}al$

iv$.k\frac{g}{m^3}.$

In the experimental measurement of freeze drying of a material, an absolute pressure of $2\mathrm{.}4mmHg$ was held in the chamber. Use Appendix A$.1$ for conversion factors, convers this pressure to:

a$.$ atm,

b$.$ in$.$ of water at $4C$

c$.m$ of $Hg$

d$.Pa.$

A volume of $65f{t}^3$ of $N_2$ gas at $90F$ and $29g$ is compressed to $75g$ and cooled to $65F.$ Calculate the final volume in $f{t}^3$ and the final density in $l\frac{b_m}{f}{t}^3.[$Hint: Be sure to convert all pressure to psia first and then to atm. Substitute original conditions into Eq$.(1\mathrm{.}4-1)$ to obtain $n,$lbmol