Water is contained in two closed tanks (A and B) which are connected by a pipe at 1 m above the ground level. The tank A is pressurized at 1.5 atm pressure while tank B is at 4 atm. For both tanks, it can be assumed that the pressure is due to nitrogen, which behaves as an ideal gas. Initially, the water level in tank A is 3 m above the ground whereas tank B is above 2 m above ground. Each tank is identical and made from stainless steel with a total height of 4 m and the base area of 5 m2. (a) [5 pts] Which direction does the water flow? (b) [10 pts] Obtain an expression for the rate of change in the water level of Tank A, dh/dt, and (c) [5 pts] What is the equilibrium height?

Please solve part B. Thank you.