A 400 m3 storage tank is being constructed to hold LNG, liquefied natural gas, which may be assumed to be essentially pure methane. If the tank is designed to contain 90% liquid and 10% vapor by volume at 100 kPa, what mass of LNG will the tank hold and at which temperature?

(b) The storage tank in part (a) warms up by 5 °C per hour due to a failure in its refrigeration system. The maximum pressure that this tank might hold is 1 MPa. Determine the temperature (and quality, if applicable) of LNG at these conditions. How much time is available to repair the system until it reaches this pressure?

(c) Solve problem 2 of HW1, but now use for your calculations the Peng-Robinson EOS, and use the Antoine equation to estimate saturation pressures/temperatures.