At the temperature of 100 degree C and an absolute pressure

At the temperature of 100 degree C and an absolute pressure of 5 atmospheres, what is the ratio of the density of water to the density of air, rho_w/rho_a.

Solution

Assume Air as an ideal gas.

density_air = P/(RT) = (5*101325) / (287.06*373) = 4.73 kg/m³

from steam table

5 atm and 100 C

density of water = 961.538 kg/m³

ratio = Density of water/ density of air = 961.538/4.73

ratio = 203.285