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

Question

Mountain climbers carry bottled oxygen when at very high altitudes. (a) Assume that a mountain climber uses oxygen and does work at twice the rate for climbing 116 stairs/mm (1.96 L/min, 685 W), because of low air temperature and winds. Calculate how many liters of oxygen a climber would need for 6.5 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.) L (b)How much useful work does the climber do if he and his equipment have a mass of 94.0 kg and he gains 650 m of altitude? J (c) What is his efficiency for the 6.5 h climb? %

Explanation / Answer

amount of useful oxygen needed = (1.96)*(6.5*60) = 764.4 L

total oxygen needed = 764.4/0.4 = 1911 L

------------------

part b

W = PE = m*g*h = 94*9.8*650 = 598780 J

----------

part c

W = P*t = 685*6.5*60*60 = 16029000 J

W' = 598780 J

efficiency = (16029000-598780)/16029000 = 96 % <----answer

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.