One thousand kg of natural gas at 100 bar and 255 K is stored in tank. If the pressure, ρ, specific volume, υ, and temperature, T, of the gas are related by following expression
ρ = [(5.18 × 10-3) T/ (υ – 0.002668)] – (8.91 × 10-3)/ υ2
Where υ is in m3/kg, T is in K, and ρ is in bar, determine the volume of the tank, in m3. Also, plot pressure versus specific volume for the isotherms T= 250, 500, and 1000 K.