Mountain climbers carry bottled oxygen when at very high altitudes. (a) Assuming that a mountain climber uses oxygen at twice the rate for climbing 116 stairs per minute (because of low air temperature and winds), calculate how many liters of oxygen a climber would need for 10.0 h of climbing. (These are liters at sea level.) Note that only 40% of the inhaled oxygen is utilized; the rest is exhaled. (b) How much useful work does the climber do if he and his equipment have a mass of 90.0 kg and he gains 1000 m of altitude? (c) What is his efficiency for the 10.0-h climb?

Solution 57PE :

a)

Step 1 of 4:-

While climbing at a rate of , the oxygen intake is .

While climbing mountains, it gets doubled which is,

.

For 10 hrs of climbing, the climber would require,

.

So, to climb the mountain for 10 hrs, the oxygen required is .

b)

Step 2 of 4:-

The height the climber reached is 1000 m of altitude.

The total mass is, .

The value of the acceleration due to gravity is, .

The amount of useful work is,

So, the amount of work done by the climber to reach the altitude of 1000 m is .

c)