Question

Mercury is commonly supplied in flasks containing $34.5g$(about$76lb$). What is the volume in litres of this much mercury?

Short answer

The volume of mercury in litre is obtained as:$2.54L$ .

Step-by-step solution

Conceptual Introduction

Fluid statics, often known as hydrostatics, is a branch of fluid mechanics that investigates the state of balance of a floating and submerged body, as well as the pressure in a fluid, or imposed by a fluid, on an immersed body.

Given Data

The density of a material is defined as the ratio of its mass to it’s volume.

The mass is given in kg$m=\text{34.5 kg}$.

The gram mass will be:$m=34.5\times {10}^{3}g$.

The density of mercury $\rho =13.6g/c{m}^3$.

Calculating the volume of the given Substance

As we known that the density is the rate of mass per volume let’s put the given data in the formula given below.

$$\begin{gathered} \rho =\frac{m}{V} \\ V=\frac{m}{\rho } \\ V=\frac{34.5\times {10}^3\text{g}}{13.6 {\text{g/cm}}^3} \\ V=2536.7 {\text{cm}}^3 \end{gathered}$$

So, the volume of mercury is ${\text{2536.7 cm}}^{\text{3}}$.

Calculating the volume of the given Substance in Liter

Hence, volume in litre,

$$\begin{gathered} V=2536.7{\text{cm}}^3\left(\frac{1\text{L}}{1000{\text{cm}}^3}\right) \\ =2.54\text{L} \end{gathered}$$

Therefore, volume of mercury in litre is: $\text{2.54 L}$.