Question

A 50.0 mL graduated cylinder has a mass of 65.1 g. When it is filled with an unknown liquid to the 49.3 mL mark, the cylinder and liquid combined have a mass of 120.5 g. Calculate the density of the liquid in g/cm3.

Answer 1

Answer: The density of liquid is
`1.12g/cm^3`

Step-by-step explanation:

We are given:

Mass of cylinder,
`m_1` = 65.1 g

Mass of liquid and cylinder combined, M = 120.5 g

Mass of liquid,
`m_2` =
`(M-m_1)=(120.5-65.1)g=55.4g`

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

`\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}`

We are given:

Mass of liquid = 55.4 g

Volume of liquid = 49.3 mL =
`49.3 cm^3` (Conversion factor:
`1mL=1cm^3` )

Putting values in above equation, we get:

`\text{Density of liquid}=(55.4g)/(49.3cm^3)\\\\\text{Density of liquid}=1.12g/cm^3`

Hence, the density of liquid is
`1.12g/cm^3`