Question

What is the mass of $10c{{m}^{3}}$ of oil?

Answer 1

Hint: To calculate the mass of oil, we must know the density of the oil as volume is given in the question. As we know that the average density of an object or substance is equal to its total mass divided by its total volume.
Formula used: The following formula would be required for this solution:-
$Density=\dfrac{mass}{volume}$

Complete answer:
Let us first discuss about density and density of oils followed by the calculation of mass of $10c{{m}^{3}}$of oil:-
-Density: For a substance, density is mass per unit volume. It is an intensive property as increasing the amount of a substance does not increase its density but rather it increases its mass.
-Density plays a vital role in how an oil or lubricant functions as well as how the machines perform. The density of most oils will range between 700 and 950 kilograms per cubic meter.
-Calculation of mass of $10c{{m}^{3}}$of oil:-
We will use the following formula: $Density=\dfrac{mass}{volume}$where we will use density in $g/c{{m}^{3}}$and volume in $c{{m}^{3}}$
As we know that generally oil has a density between 0.91$g/c{{m}^{3}}$and 0.93$g/c{{m}^{3}}$, so we can take the average density that is 0.92$g/c{{m}^{3}}$.
The volume of the oil is = $10c{{m}^{3}}$
Let us first rearrange the formula as shown below:-
$Density\times volume=mass$
On putting all these values in the formula we get:-
Mass of oil = $0.92g/c{{m}^{3}}\times 10c{{m}^{3}}$ = 9.2 grams.
-Therefore the mass of $10c{{m}^{3}}$ of oil is 9.2 grams.

Note:
-While solving the numerical of physical chemistry, do not forget to convert the units as per requirement and use them in the calculations so as to obtain an accurate result with negligible errors.
-Remember that as density increases, the erosive potential of the fluid increases as well.