Question

What mass of lead (density 11.4 g/cm3) would have an identical volume to 20.1 g of mercury (density 13.6 g/cm3)?

Answer 1

Answer: The mass of lead is 16.872 g

Step-by-step explanation:

To calculate mass of a substance, we use the equation:

`\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}` ......(1)

• For Mercury:

Density of mercury =
`13.6g/cm^3`

Mass of mercury = 20.1 g

Putting values in equation 1, we get:

`13.6g/cm^3=\frac{20.1g}{\text{Volume of mercury}}\\\\\text{Volume of mercury}=1.48cm^3`

The volume of mercury is
`1.48cm^3` which is equal to the lead sample.

• For lead:

We are given:

Density of lead =
`11.4g/cm^3`

Volume of lead =
`1.48cm^3`

Putting values in equation 1, we get:

`11.4g/cm^3=\frac{\text{Mass of lead}}{1.48cm^3}\\\\\text{Mass of lead}=16.872g`

Hence, the mass of lead is 16.872 g

Answer 2

In order to determine the mass of lead, Pb, that would have an identical volume as 20.1 g of mercury, Hg, we first get the equivalent volume of 20.1 g of mercury. This can be done by using the given density of mercury which is equal to 13.6 g/cm^3. This is shown in the following equation:

20.1 g Hg/ 13.6g/cm^3 = 1.4779 cm^3 of Hg

Consequently, we use this obtained volume which is the target volume for lead. Again, we make use of the density of the substance, in this case, lead has a density of 11.4 g/cm^3. The resulting equation is then:

11.4 g/cm^3 x 1.4779 cm^3 = 16.8485 g of Pb

Thus, the amount of lead that has an identical volume as 20.1 g of mercury is 16.8485 g Pb.