Fuel Oil is pumped into a leaking tank at a rate of 1 L/min. The hole at the bottom has an effective area of 0.1 cm2 . a. Write a differential equation describing the mass balance for fuel oil in the tank. b. What is the maximum depth that the fuel oil can reach if the tank is initially empty? (Note that the fuel oil spurts out through the hole with a velocity of (2gh)1/2 where h is the depth of oil and g is the acceleration of gravity, 981 cm/sec2 .

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj