Question

A 2-m3 rigid tank initially contains air whose density is 1.18 kg/m3 . The tank is connected to a high-pressure supply line through a valve. The valve is opened, and air is allowed to enter the tank until the density in the tank rises to 5.30 kg/m3 . Determine the mass of air that has entered the tank?

Answer 1

Step-by-step explanation:

It is known that density is the mass present in per unit volume.

Mathematically, Density =
`(mass)/(volume)`

Since, it is given that
`d_(1)` is 1.18
`kg/m^(3)`,
`d_(2)` is 5.30
`kg/m^(3)`, and volume is 2
`m^(3)`.

Therefore, mass of air that has entered will be
`m_(2)` -
`m_(1)` and it will be calculated as follows.

`d_(2) - d_(1)` =
`(m_(2) - m_(1))/(Volume)`

`m_(2) - m_(1)` =
`(5.30 kg/m^(3) - 1.18 kg/m^(3)) * 2 m^(3)`

= 8.24 kg

Thus, we can conclude that mass of air that has entered the tank is 8.24 kg.