Question

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.

A. 4.32 L
B. 5.40 L
C. 6.48 L
D. 7.56 L

Answer 1

To calculate the liters of oxygen a climber would need for 10.0 hours of climbing, we need to find the oxygen consumption rate for climbing 1 stair per minute and then multiply it by 60 and 10.0.

Step-by-step explanation:

To calculate the liters of oxygen a climber would need for 10.0 hours of climbing, we first need to find the oxygen consumption rate for climbing 116 stairs per minute. Since the climber uses oxygen at twice the rate for climbing 116 stairs per minute, we can calculate the oxygen consumption rate for climbing 1 stair per minute. This is done by dividing the oxygen consumption rate for climbing 116 stairs per minute by 116. Then we multiply this rate by 10.0 hours to get the total amount of oxygen consumed.

Let's assume the oxygen consumption rate for climbing 116 stairs per minute is x liters per minute. Therefore, the oxygen consumption rate for climbing 1 stair per minute is x/116 liters per minute. To find the total oxygen consumption for 10.0 hours, we multiply this rate by 60 to convert minutes to hours and then by 10.0 hours.

The final calculation is: (x/116) * 60 * 10.0.