Question

The density of mercury is 13.6g/ml. What is the volume of a 200 gram sample of mercury?
A.213.6ml
B.0.0680m
C.13.6ml
D.2,720ml
E.14.7ml

Answer 1

Density is defined as the ratio of mass to its volume. It is usually represented as $\rho$. Both mass and density are given and we are asked to find out the volume, substitute the values in the density formula and you can get the answer.

Complete answer:
I have given the definition of density. Now let us know its formula. The formula of density is as follows:
$density\left( \rho \right) = \dfrac{{mass\left( m \right)}}{{volume\left( v \right)}}$
Given, density of mercury=13.6g/ml
Mass of the mercury sample=200g
Substituting the given values in the formula, we get

$$\Rightarrow 13.6 = \dfrac{{200}}{v} \\\ \Rightarrow v = \frac{{200}}{{13.6}} \\\ \Rightarrow v = 14.70 \\\$$

After substituting the values, we got the volume (v)=14.7ml
So, the volume of a 200 gram mercury sample with density 13.6g/ml is 14.7ml.
By the above explanation, the correct answer is D.

Note:
Density is that which usually comes under intensive property which means by increasing the amount of a substance, the density does not increase, rather its mass increases. The density of any substance varies with temperature and pressure.