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BONUS: You are sitting in a quiet room working on your chemistry feel panic When

ID: 572427 • Letter: B

Question

BONUS: You are sitting in a quiet room working on your chemistry feel panic When you try to leave, you learn that only door out of the room is lockeo. air flow into the room (it is air room (5 meters long, 10 meters wide, 6 meters high) with your chemistry exam? take-home exam. All of a sudden you come over you and thus you decide to get up and take a break to get some fresh air tight with no ventilation system) How long can you survive in this Keep in mind the following facts (you may not need to use all of them depending on approach this answer this question, but remember to cite any outside information. how you problem), and feel free to research any information that you think is necessary to Human tidal volume (the volume of air that moves in and out of the lungs during normal quiet respiration) is about 500 mL for an adult. Resting respiratory rate for adults is 12-18 breaths per minute (bpm). Under stressful conditions, we would expect to be at the high end of that, so let's use 18 bpm for our problem. For a human adult breathing normal air, inhaled air is about 20.3 %2 The density of normal air is about 1.2g/L

Explanation / Answer

The volume of the given room = 5 m X 10 m X 6 m = 300 m3

Note: 1 m3 = (102 cm)3 = 103 * 103 cm3 = 103 * 103 mL = 103 L

Therefore, the volume of the room = 300 * 103 L = 3*105 L

The % of inhaled air = 20.8 % O2 = 20.8 * 32 / 100 = 6.656 g/mol (since the molar mass of O2 = 32)

Now, the no. of breaths per min = 18 * 6.656 = 119.808 g = 119.808 g /(1.2 g/L) = 99.84 L/min

Therefore, the time of survival = 3*105 L / (99.84 L/min) ~ 3005 min = 3005/60 h ~ 50 h 5 min