$1\mathrm{.}27$ A stack and $($:$P=750(mm)Hg\}$ was sampled using EPA Method $5.$ The total gas volume that flowed through the dry gas meter was $2\mathrm{.}785$ cubic meters $($at $T=60F$ and $P=800mmHg).$ The mass of particles collected was $1\mathrm{.}50g.$ Also, $72\mathrm{.}0g$ of $H_{2}O$ was collected in impingers.

a$.$ Calculate the concentration of PM in the stack $(\frac{g}{m^3})$ at stack conditions.

b$.$ The stack gas exits at an average velocity of $20\frac{m}{s},$ and the stack has an inside diameter of $5$ meters. What is the emission rate of $PM,$ in $k\frac{g}{?}$ day?

c$.$ What is the PM concentration in $\frac{g}{d}scm?$