1000 kg of natural gas at 100 bar and 255 K is stored in a tank. If the pressure p, specific volume v and temperature T of the gas are related by the following expression (the teacher gave us the answer to be 8.84 m^3):
[5.18x 10 ^-3 T(v-.002668)] -8.91 x 10^-3/v^2
where v is in m^3/Kg, T is in Kelvin and p is bar, determine the volume of gas in the tank. Also plot pressure versus v and T for the isotherms T = 250, 500 and 1000 K. Note that the numbers in the above expression have their own units.