Question

Which would have more volume? A mass of mercury or the same mass of bromine. The density of mercury is 13.5g/ml. The density of Bromine is 3.12 g/cm3.

Answer 1

Explanation:

Given that,

The density of mercury is 13.5 g/mL

The density of Bromine is 3.12 g/cm³

It is mentioned that Mercury and bromine have the same mass. Let d₁,d₂ are the density of Mercury and Bromine. V₁ and V₂ are their volumes. So,

$\text{density}=\dfrac{\text{mass}}{\text{volume}}$

$\text{mass}=\text{density}\times \text{volume}$

Since, mass is same.

So,

$d_1V_1=d_2V_2\\\\\dfrac{d_1}{d_2}=\dfrac{V_2}{V_1}\\\\\dfrac{13.5}{3.12}=\dfrac{V_2}{V_1}\\\\4.32=\dfrac{V_2}{V_1}\\\\V_2=4.32\times V_1$

Hence, the volume of bromine is more than that of mercury. It is 4.32 times of the density of mercury.