A tree 33 m tall and 0.55 m in diameter at its base produces about 6.1 ×10^4 L of oxygen per y

step 1 The amount of oxygen that is produced by the tree that is 33 meters tall with the diameter of 0

A tree 33 m tall and 0.55 m in diameter at its base...

A tree $33 \mathrm{~m}$ tall and $0.55 \mathrm{~m}$ in diameter at its base produces about $6.1 \times 10^{4}$ L of oxygen per year. A person who exercises vigorously several hours a day might take in about $22 \mathrm{~m}^{3}$ of air per day. How many people breathing would five such trees supply with oxygen?

Key Concepts

Photosynthesis and Oxygen Production

Photosynthesis is the process by which trees convert carbon dioxide and water into sugars and oxygen. The rate of oxygen production depends on the tree’s size, species, and environmental conditions, and it is often measured over a set period (such as per year) to assess the contribution of vegetation to the atmospheric oxygen supply.

Breathing and Oxygen Consumption

The human respiratory process involves inhaling air that is comprised of several gases, approximately 21% of which is oxygen. During activities such as vigorous exercise, oxygen consumption increases, and understanding the volume of air processed helps in estimating the actual oxygen intake over a given time period.

Unit Conversion in Volume Measurements

Accurate comparison between oxygen production and consumption requires converting measurements into consistent volume units. This typically involves converting between liters and cubic meters, ensuring that both the production by trees and the consumption by humans are evaluated on the same scale.

Rate Comparison and Scaling

The problem involves comparing rates – the annual oxygen production by a tree versus the daily oxygen intake by a person. This requires aggregating consumption over a comparable time period (such as one year) and then scaling the results to determine the balance between the supply provided by trees and the demand from human respiration.

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