Q92E - Chemistry (OpenStax)

Question

Calculate these volumes. (a) What is the volume of 11.3gmgraphite, density2.25g/cm³? 

(b) What is the volume of 39.657gm bromine, density 2.928g/cm³?

Step-by-Step Solution

Answer

The volume of the compound can be calculated using the formula:

\(Volume = \frac{{mass}}{{density}}\)

a. The volume of graphite is 5.02cm³.

b. The volume of bromine is 13.544 cm³₌ 13.54 mL

Step 1: Determine the volume of graphite

It is given that the mass of graphite =11.3 gm

Density of graphite =2.25 gm/cm³

Using volume formula:

Volume of graphite

\(\begin{aligned}{\underline{\phantom{xx}}} &= \frac{{11.3}}{{2.25}}\frac{g}{{g/c{m^3}}}\\ &= 5.02c{m^3}\end{aligned}\)

Therefore, the volume of graphite = 5.02 cm³.

Step 2: Determine the volume of bromine

It is given that the mass of bromine=39.657 gm

Density of bromine =2.928 gm/cm³

Using volume formula:

Volume of bromine

\(\begin{aligned}{\underline{\phantom{xx}}} &= \frac{{39.657}}{{2.928}}\frac{g}{{g/c{m^3}}}\\ & = 13.544\,c{m^3}\end{aligned}\)

Therefore, the volume of bromine = 13.55 mL (rounding off to 4 significant figures).