$1.$ Your pre$-$sampling and post$-$sampling pump calibration using a primary standard are both $0\mathrm{.}05$ L$/$min$.$ You collect a personal sample on an employee working in the operation. The sample is collected for $460$ minutes. Calculate the sample volume.

$2.$ The laboratory reports that the front section of the sample contains $4,500$g of methyl n$-$amyl ketone and the back section contains $100$g of methyl n$-$amyl ketone. Neither the front nor back sections of the field blank you supplied contain any detectable levels of methyl n$-$amyl ketone. Calculate the concentration of the sample in $$g$/$L and mg$/$m$^3.$ Convert the result to ppm $($MW for methyl n$-$amyl ketone $=114\mathrm{.}2).$ Note: Use the ideal gas constant of $24\mathrm{.}45.$

$3.$ You then reference OSHA's Table Z$-1$ and find that the $8-$hour TWA PEL for methyl n$-$amyl ketone is $100$ ppm$.$ You also look up the ACGIH TLV for methyl n$-$amyl ketone and find that the TLV is $50$ ppm as an $8-$hour TWA exposure. Discuss how the results of the personal sample you collected compare to the OSHA PEL and the ACGIH TLV$.$

$4.$ Discuss whether you would recommend comparing the results of your sampling to the OSHA PEL or the ACGIH TLV$.$ Include your rationale for the choice.

Show all your work for the calculations for questions $1$ and $2.$ Your answers for questions $3$ and $4$ should be at least $70$ words in length. Cite the NIOSH document using APA Style.