This bathtub cost a bundle, but even rich people occasionally have to deal with clogged drains. Part A Write the basic equation for volume balance for this system. What property

of the fluid allows us to simplify from mass balance (which is always valid) to volume balance (which is not)? Part B The rich person turns on the faucet to flow at 5.0 gal/min for 15 minutes. Meanwhile, the open drain is draining at 1.0 gal/min. How much water is in the bathtub after 15 minutes? Then, how long will it take to completely drain? Part C Make a plot showing the volume of water versus time.