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,
[tex]\text{density}=\dfrac{\text{mass}}{\text{volume}}[/tex]
[tex]\text{mass}=\text{density}\times \text{volume}[/tex]
Since, mass is same.
So,
[tex]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[/tex]
Hence, the volume of bromine is more than that of mercury. It is 4.32 times of the density of mercury.
