Question

What is the density of sulphuric acid if 35.4 mL of the acid weighs 65.14 g?

Answer 1

Hint: Density is the measure of the amount of mass of any substance that is present in its per unit volume. In the mathematical equation, it can be written as:
\[\text{Density (d)}=\dfrac{\text{Mass (m)}}{\text{Volume (V)}}\]
If we know the mass and volume terms, we can easily find out the density of any substance.

Complete answer:
Density is how much matter is contained within a volume. A dense object weighs more than a less dense object that is the same size. Density is the measurement of the amount of mass per unit of volume. In order to calculate density, we need to know the mass and volume of the substance. The formula for density is:
\[\text{Density (d)}=\dfrac{\text{Mass (m)}}{\text{Volume (V)}}\]
The SI unit of density is $\text{kg/}{{\text{m}}^{\text{3}}}$. However, the units of $\text{g/c}{{\text{m}}^{\text{3}}}$ and $\text{g/mL}$ are more commonly used.
In the question, we are given sulphuric acid that weighs 65.14 grams and the volume of this much amount of the acid is 35.4 millilitres. Thus, we know the mass and volume values, so we just have to plug in the values in the above equation to get the density.
\[\begin{align}
  & \because \text{Density (d)}=\dfrac{\text{Mass (m)}}{\text{Volume (V)}} \\
 & \text{Here} \\
 & \text{Mass (m)}=65.14g \\
 & \text{Volume (V)}=35.4mL \\
 & \therefore \text{Density (d)}=\dfrac{\text{65}\text{.14 g }}{\text{35}\text{.4 mL}}=1.84\text{ g/mL} \\
\end{align}\]
Hence, the density of sulphuric acid is 1.84 g/mL when 35.4 mL of the acid weighs 65.14 g.
Density often has units of grams per cubic centimetre (g/cm3).

Note:
Densities are critical for many uses. One of the most important applications is that the density of a substance will determine if it will float on another substance. Less dense substances will float on or rise through more dense substances.