BIOE 201
Problem Set #2 (50 points)
Due: Wednesday, September 9 at the start of class
1. (10 points) Problem 3.18 in Bioengineering Fundamentals
2. (10 points) Ali is a graduate student in the Imoukhuede Lab, and even used to TA Dr.
Imoukhuede’s course… until a terrible example of a prob...
1. (10 points) Problem 3.18 in Bioengineering Fundamentals
2. (10 points) Ali is a graduate student in the Imoukhuede Lab, and even used to TA Dr.
Imoukhuede’s course… until a terrible example problem-related accident occurred. He
sat around one-day thinking about the theoretical steak generator found in Lecture 4.
Neglecting his lab work, he decided to reproduce the example problem in the office
one-day. Being a starving graduate student, Ali was only able to purchase a 6-ounce
rib-eye steak from County Market, and being hungry, he initially consumed half of his
steak. He then fashioned a device that would generate delicious, authentic beef rib-eye
meat at a tunable rate. Somehow, his steak was already contaminated with steak-
eating microbes, which consumed the meat at a leisurely pace of 2 ounces an hour.
Worried that he would quickly run out of steak, Ali panicked, and turned his steak
generator to the highest setting, 11, which (later studies revealed) generated steak at
the unheard of rate of 1 lb/second. The generator immediately became stuck at the
setting. Ali realized the major flaw in the original example problem: steak takes up
volume! If his office has the dimensions 10x12x10 meters, how long will it take for the
room (without Ali) to be fully saturated with steak? (Assume the density of beef to be
approximately 16 lbs/ft3). How quickly would Ali have to consume the steak if he were to
halt the meat’s accumulation? Finally, Ali realizes his office has about 30 minutes worth
of oxygen available. But he didn’t have this realization until enough meat had
accumulated to fill half the room, and his door is trapped on the other side of the office!
What is the minimum rate Ali will have to consume the steak in order to reach the door
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