Question

A gas sample has a density of 1.17 g/l. what volume of this gas will havea mass of 2.25 mg?

Answer 1

Answer : The volume of the gas sample is 0.00192 L.

Explanation :

The density of a substance is defined as the mass per unit volume.

The formula for density can be written as

$Density =\frac{mass}{volume}$

Step 1 : Convert mass from mg to g.

The density of the sample is given as 1.17 g/L

The mass of the sample is 2.25 mg.

Since density has the unit "g", we need to convert the mass from mg to g.

The conversion factor for g to mg is , 1 g = 1000 mg.

$2.25 mg \times\frac{1g}{1000mg} = 0.00225 g$

Step 2 : Use density formula.

The density formula can be rearranged to solve for volume as follows.

$Volume =\frac{mass}{density}$

Mass = 0.00225 g

Density = 1.17 g/L

Let us plug in these values in the above formula.

$Volume =\frac{0.00225g}{1.17g/L}$

$Volume = 0.00192L$

The volume of the gas sample is 0.00192 L or 1.92 mL