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

Answer:

39.42g

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 = $\frac{mass}{volume}$

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

    Density =  $\frac{M}{LxLxL}$

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