Final answer:
Without the specific context from Krakauer's book, it's not possible to answer accurately how Krakauer helped Hutchinson. The calculations for oxygen consumption, work done, and climbing efficiency require additional numerical data not provided here.
Step-by-step explanation:
To answer the student's question about Krakauer's assistance to Hutchinson on the Geneva Spur, it's important to refer to Jon Krakauer's book Into Thin Air. However, based on the details given, the passage does not directly relate to the specifics of Krakauer's assistance to Hutchinson, as it does not mention any act of sharing oxygen, emotional support, gear assistance, or contacting rescue teams. Without additional context or information from Krakauer's work, it's impossible to accurately answer the specific question of how Krakauer helped Hutchinson. As for the scientific part of the question, we can provide calculations for the amount of oxygen consumption, the work done by a climber, and the climber's efficiency during a climb.
The calculation would typically involve determining the rate of breathing for the climber, then doubling it as per the conditions, and finally accounting for only 40% utilization of the inhaled oxygen over the 10-hour climb at sea level. However, due to the lack of numerical data on the climber's breathing rate, completing the calculations is not feasible in this context.
To calculate the work done in gaining 1000 meters of altitude, we can use the formula for work, which is the product of force (weight in this context) and distance. In this scenario, the weight component would be the mass of the climber and his equipment (90.0 kg) multiplied by acceleration due to gravity (9.8 m/s2), and the distance is the 1000 meters elevation gained.
The efficiency of the climber during the climb could be calculated using the ratio of useful work output over the total energy expended. The energy expended would be dependent on the climber's metabolic rate and the time spent climbing.