Exercise 6: Pumping a barrel of buffer solution to the top of a reaction vessel a 8.5 m A car battery will be used to power a pump to transfer the contents of a small open barrel to the top of an open reaction vessel 8.5 m from the ground. A typical car battery can provide a maximum of 4800 Watt-hours. The pump to be used is 65% efficient. The barrel has an inner diameter of 20 cm and the discharge piping has an inner diameter of 2 cm. The flow rate is constant at 3 liters/minute. Friction losses in the system are 12 m2/s2. The initial height of the fluid in the barrel is 45 cm. The density of the buffer solution is 1.05 g/cm3. How many minutes will it take to empty the barrel? How many of these barrels can be emptied by this pump using one car battery? This problem, like the water tower problem, requires an iterative approach over several minutes. 1 liter = 0.001 m3 1 minute = 60 seconds 1 g/cm3 = 1000 kg/m3 1 Watt = 1 Joule/second 1 Joule = 1 kgm?/s = = = = =