Question

A container is filled completely with 197g of ethyl alcohol (density 0.790g/cm3). What is the volume of the container?

Answer 1

The volume of the container is 249.367 cm³

Step-by-step explanation:

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

`density=(mass)/(volume)`

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Density, according to the International System of Units, is usually expressed in kilogram per cubic meter (kg/m³) or gram per cubic centimeter (g/cm³).

In this case:

• density= 0.790 g/cm³
• mass= 197 g
• volume= ?

Replacing:

`0.790 (g)/(cm^(3) ) =(197 g)/(volume)`

Solving:

`volume=(197 g)/(0.790 (g)/(cm^(3) ) )`

volume= 249.367 cm³

The volume of the container is 249.367 cm³