Determine the density, specific gravity, and mass of the air in a room whose dimensions are 4 m×5 m× 6 m at 100 kpa and 25 c

Answer : The density, specific gravity, and mass of the air in a room is, 1.16825 g/L, 0.916 and 140.19 kg respectively.

Explanation :

First we have to calculate the volume of air.

Now we have to calculate the mole of air.

Using ideal gas equation:

where,

P = Pressure of air = 100 kPa =  0.987 atm      (1 atm = 101.3 kPa)

V = Volume of air = 120000 L

n = number of moles of air = ?

R = Gas constant =

T = Temperature of air =

Putting values in above equation, we get:

Now we have to calculate the mass of air.

As we know that the molar mass of air is, 28.96 g/mol

Now we have to calculate the density of air.

Now we have to calculate the specific gravity of air.

As we know that air density at STP is, 1.2754 g/L