The absolute tank pressure is initially 110kPa at T=350 K, with the valve
closed. The tank has volume, V=360 m³. The valve is open at t=0,
allowing air ($R=287\frac{N-m}{kg-K}$, n=1) from the tank to vent into the
atmosphere (101kPa). The initial flowrate out of the tank is $q_{in} = 0.16\frac{kg}{s}$.
9. (3 pts) Find the capacitance of the tank.
10. (3 pts) Find the average resistance of the valve, based on initial and
steady state conditions.
11. (6 pts) Select the correct DE for tank pressure, $p_i(t)$.
12. (3 pts) Find the time constant for the system.
13. (1 pt) Which word describes this polytropic expansion?