A rigid tank contains 50 kg of saturated liquid water at 90d
A rigid tank contains 50 kg of saturated liquid water at 90degreeC. Determine the pressure in the tank and the volume of the tank.
Solution
Boiling point and pressure are related to each other by the equation:
Tb = (1/To - R*ln(P/Po)/Hvap)^-1
where
Tb = boiling point = 90 deg C = 90 +273 = 363 K
To = 100 deg C = 100+273 = 373 K
R = gas constant = 8.314
Po = 1 atm
P = pressure required
Hvap = heat of vaporization of water = 40.66 kJ/mol = 4.066*10^4 J/mol
So, 363 = (1/373 - 8.324*ln(P/1)/(4.066*10^4))^-1
So, P = 0.697 atm = 1.013*0.697*10^5 Pa = 7.06*10^4 Pa <-----answer
