Question

What is the average density of a hexane/octane mixture comprised

of 10 kg of hexane and 30 kg of octane? The density of hexane is
0.66 and that of octane is 0.703.

Answer 1

Step-by-step explanation:

The given data is as follows.

Mass of hexane = 10 kg, Mass of octane = 30 kg

Formula to calculate average density of mixture is as follows.

`\sum x_(i) \rho_(i)`

where,
`x_(i)` = mass fraction of i component in mixture

`\rho_(i)` = density of i component

Hence, calculating the mass fraction of both hexane and octane as follows.

`x_(hexane)` =
`(10)/((10 + 30))` = 0.25

`x_(octane)` =
`(30)/((10 + 30))` = 0.75

Therefore, calculate the average density as follows.

`\rho_(mixture)` =
`(0.26 * 660) + (0.75 * 703)`

= 692.25
`kg/m^(3)`

Thus, we can conclude that the average density of given hexane/octane mixture is 692.25
`kg/m^(3)`.