Question

find the density of mercury if a mass of 2.72 kg occupies a volume of 200 cm 3​

Answer 1

Explanation:

Mercury has a density of 13.5 g/mL, which is about 13.5 times denser than water (1.0 g/mL), so a small amount of mercury like this feels unexpectedly heavy.

Answer 2

Answer:

Given :-

• A mass of 2.72 kg occupies a volume of 200 cm³.

To Find :-

• What is the density of mercury.

Formula Used :-

$\clubsuit$ Density Formula :

$\mapsto \sf\boxed{\bold{\pink{Density =\: \dfrac{Mass}{Volume}}}}$

Solution :-

First, we have to convert the volume cm³ to m³ :

$\implies \sf Volume =\: 200\: cm^3$

$\implies \sf Volume =\: \dfrac{2\cancel{00}}{10000\cancel{00}}\: m^3\: \: \bigg\lgroup \small\sf\bold{\pink{1\: cm^3 =\: \dfrac{1}{1000000}\: m^3}}\bigg\rgroup$

$\implies \sf Volume =\: \dfrac{2}{10000}\: m^3$

$\implies \sf\bold{\purple{Volume =\: 0.0002\: m^3}}$

Now, we have to find the density of mercury :

Given :

• Mass = 2.72 kg
• Volume = 0.0002 m³

According to the question by using the formula we get,

$\longrightarrow \sf Density =\: \dfrac{2.72}{0.0002}$

$\longrightarrow \sf Density =\: \dfrac{\dfrac{272}{100}}{\dfrac{2}{10000}}$

$\longrightarrow \sf Density =\: \dfrac{272}{100} \times \dfrac{10000}{2}$

$\longrightarrow \sf Density =\: \dfrac{27200\cancel{00}}{2\cancel{00}}$

$\longrightarrow \sf Density =\: \dfrac{\cancel{27200}}{\cancel{2}}$

$\longrightarrow \sf Density =\: \dfrac{13600}{1}$

$\longrightarrow \sf\bold{\red{Density =\: 13600\: kg/m^3}}$

${\small{\bold{\underline{\therefore\: The\: density\: of\: mercury\: is\: 13600\: kg/m^3\: .}}}}$