Question

What is the mass of 35.2 ml of a solution that has a density of 1.12 g/cm

(in dimensional analysis)

Answer 1

39.42g

Step-by-step explanation:

Given parameters:

volume of the solution = 35.2mL

density of solution = 1.12g/cm³

Unknown:

Mass of solution = ?

Solution:

Density is given as mass per unit volume. It is the amount of substane contained in a solution.

It is mathematically expressed as:

Density =
`(mass)/(volume)`

The dimensional equivalence of mass is designated as M and volume is expressed in lengths, L

Density =
`(M)/(LxLxL)`

the dimensional equivalence of length is ML⁻³

Therefore, to find the mass of the solution:

Mass = Density x volume

We must express the volume in form of cm³

1mL = 1cm³

so 35.2mL of the solution is the same as 35.2cm³

Mass = 1.12g/cm³ x 35.2cm³ = 39.42g