Solution Found!
An empty bathtub has its drain closed and is being filled
Chapter 4, Problem 14HP(choose chapter or problem)
Problem 14HP
An empty bathtub has its drain closed and is being filled with water from the faucet at a rate of 10 kg/min. After 10 min the drain is opened and 4 kg/min flows out; at the same time, the inlet flow is reduced to 2 kg/min. Plot the mass of the water in the bathtub versus time and determine the time from the very beginningwhen the tub will be empty.
Questions & Answers
QUESTION:
Problem 14HP
An empty bathtub has its drain closed and is being filled with water from the faucet at a rate of 10 kg/min. After 10 min the drain is opened and 4 kg/min flows out; at the same time, the inlet flow is reduced to 2 kg/min. Plot the mass of the water in the bathtub versus time and determine the time from the very beginningwhen the tub will be empty.
ANSWER:
Solution 14HP
Step 1 of 4
We have to plot the mass of the water in the bathtub versus time and also determine the time from the very beginning when the tub will be empty.
The rate of change of mass inside the control volume(bathtub) during the first 10 minutes is given by
Where,
rate at which water is filled
to bathtub = 10 kg/min
Thus,
Hence, the mass of water in bathtub after 10 min is
