Question

1. a rectangular tank measuring 27.0 cm x 7.0 cm x 11.25 cm contains a gas sample that has a density of 0.020 g/ml. what is the mass of the gas contained in the tank?

Explanation:

Step1: Calculate the volume of the tank

The volume $V$ of a rectangular - prism (tank) is given by $V = l\times w\times h$, where $l = 27.0\ cm$, $w = 7.0\ cm$, and $h = 11.25\ cm$. So $V=27.0\times7.0\times11.25\ cm^{3}=2126.25\ cm^{3}$. Since $1\ cm^{3}=1\ mL$, the volume $V = 2126.25\ mL$.

Step2: Calculate the mass of the gas

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. Rearranging for mass gives $m=
ho\times V$. Given $
ho = 0.020\ g/mL$ and $V = 2126.25\ mL$, then $m=0.020\ g/mL\times2126.25\ mL = 42.525\ g$.

Answer:

$42.525\ g$