Question

The concentration of a solution is $8\% $ (\[w/w\]) and $10\% $ (\[w/v\]). Calculate density in (\[g/ml\]) of solution.

Answer 1

Hint: The density of a substance is the measure of how much stuff an object has in a unit volume. It is basically defined as mass per unit volume. It is represented by the symbol For $\rho $. Moreover, it can be explained as the relationship between the mass of the substance and the volume it takes up.

Formula used:
Density of solution (d) $ = \dfrac{{mass\,of\,solution}}{{volume\,of\,solution}}$

Complete step by step answer:
The density of a material shows the denseness of that material in a specific given area. It is essentially a measurement of how tightly matter is packed together.
Now, in the given question, the concentration of a solution (\[w/w\]) is $8\% $, which means that 8g of the solute is present in $100g$ of solution.
And, concentration (\[w/v\]) is $10\% $. Now, as the weight of the solute is 8g so, the volume of the solution will be:
 $8 \times 10 = 80mL$
Therefore, according to the given formula,
Density of the solution $ = \dfrac{{mass\,of\,solution}}{{volume\,of\,solution}}$
Now, mass $ = 100g$
Volume is $80mL$
So, density $ = \dfrac{{100}}{{80}} = 1.25gm{L^{ - 1}}$

Hence, the density of the solution will be $1.25gm{L^{ - 1}}$

Note:
In general, liquids are less dense solids and gases are less dense than liquids. This is due to the fact that solids have densely packed particles whereas liquids are materials where particles can slide around one another and gases have particles that are free to move all over the plane. One well known application of density is determining whether an object will float on water or not. The floating of ships and diving of submarines are due to their density difference.