Question

The density of concentrated nitric acid (HNO3) is 1.413 g/mL. What volume in liters would be occupied by a mass of 47.2 g?

Answer 1

Answer:

The volume that a mass of 47.2 g would occupy is 0.0334 L

Explanation:

Density is the property that matter, whether solid, liquid or gas, has to compress into a given space. Density is defined as the amount of mass it has per unit volume, that is, the ratio between the mass of a body and the volume it occupies:

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

This indicates that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

In this case:

• density= 1.413 g/mL
• mass= 47.2 g
• volume=?

Replacing:

$1.413 \frac{g}{mL}=\frac{47.2 g}{volume}$

Solving:

$volume=\frac{47.2 g}{1.413\frac{g}{mL} }$

volume=33.40 mL

Being 1,000 mL= 1 L:

volume= 0.0334 L

The volume that a mass of 47.2 g would occupy is 0.0334 L