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Mountain climbers carry bottled oxygen when at very high altitudes. (a) Assume t

ID: 1416731 • Letter: M

Question

Mountain climbers carry bottled oxygen when at very high altitudes. (a) Assume that a mountain climber uses oxygen and does work at 2.5 times the rate for climbing 116 stairs/min (1.96 L/min, 685 W), because of low air temperature and winds. Calculate how many liters of oxygen a climber would need for 12.0 h of climbing. (Note that only 40% of the inhaled oxygen is utilized and the rest is exhaled. Also note that your answer is in liters at sea level.) 8820 Correct: Your answer is correct. L

(b) How much useful work does the climber do if he and his equipment have a mass of 88.0 kg and he gains 1200 m of altitude? 1034880 Correct: Your answer is correct. J

(c) What is his efficiency for the 12.0 h climb? . %

Please help with part C!

Explanation / Answer

the total work he has done in the climbing process:

2.5*685W*12*3600 = 7.40 x10^7 J

the efficiency is thus

1034880/7.40x10^7

= 0.01398 = 1.398%

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