Calculating the Mass of Oxygen in a Sample of Carbon Dioxide

Oct 13, 2025 by windailys.com 129 views

Carbon dioxide is a colorless, odorless gas composed of one carbon atom and two oxygen atoms. The molecular formula for carbon dioxide is CO2. In this article, we will explore the composition of carbon dioxide and calculate the mass of oxygen in a given sample.

Calculating the Mass of Oxygen in a Sample of Carbon Dioxide

To calculate the mass of oxygen in a sample of carbon dioxide, we need to know the mass of carbon in the sample and the percentage of carbon by mass. We are given a 43.0g sample of carbon dioxide that is 27.3 percent by mass carbon. We can use this information to calculate the mass of carbon in the sample.

Step 1: Calculate the Mass of Carbon in the Sample

To calculate the mass of carbon in the sample, we can use the following formula:

Mass of carbon = (Percentage of carbon by mass) x (Mass of sample)

In this case, the percentage of carbon by mass is 27.3% and the mass of the sample is 43.0g.

Mass of carbon = (27.3/100) x 43.0g Mass of carbon = 0.273 x 43.0g Mass of carbon = 11.719g

Step 2: Calculate the Mass of Oxygen in the Sample

Now that we know the mass of carbon in the sample, we can calculate the mass of oxygen in the sample. The molecular formula for carbon dioxide is CO2, which means that for every 1 carbon atom, there are 2 oxygen atoms. Therefore, the mass of oxygen in the sample is twice the mass of carbon.

Mass of oxygen = 2 x Mass of carbon Mass of oxygen = 2 x 11.719g Mass of oxygen = 23.438g

Calculating the Mass of Oxygen in a 78g Sample of Carbon Dioxide

Now that we know the mass of oxygen in a 43.0g sample of carbon dioxide, we can calculate the mass of oxygen in a 78g sample of carbon dioxide. We can use the following formula:

Mass of oxygen in 78g sample = (Mass of oxygen in 43g sample) x (Mass of 78g sample / Mass of 43g sample)

Mass of oxygen in 78g sample = 23.438g x (78g / 43g) Mass of oxygen in 78g sample = 23.438g x 1.814 Mass of oxygen in 78g sample = 42.65g

Therefore, the mass of oxygen in a 78g sample of carbon dioxide is approximately 42.65g.

Conclusion

In this article, we calculated the mass of oxygen in a 43.0g sample of carbon dioxide and then used that information to calculate the mass of oxygen in a 78g sample of carbon dioxide. We found that the mass of oxygen in a 78g sample of carbon dioxide is approximately 42.65g.

Understanding the Importance of Carbon Dioxide

Carbon dioxide is an important gas in the Earth's atmosphere, playing a crucial role in the Earth's climate system. It is a greenhouse gas that traps heat in the atmosphere, contributing to global warming. Understanding the composition of carbon dioxide and its properties is essential for mitigating the effects of climate change.

Calculating the Mass of Oxygen in a Sample of Carbon Dioxide: A Step-by-Step Guide

To calculate the mass of oxygen in a sample of carbon dioxide, follow these steps:

Calculate the mass of carbon in the sample using the formula: Mass of carbon = (Percentage of carbon by mass) x (Mass of sample)
Calculate the mass of oxygen in the sample using the formula: Mass of oxygen = 2 x Mass of carbon
Use the mass of oxygen in the sample to calculate the mass of oxygen in a larger sample using the formula: Mass of oxygen in larger sample = (Mass of oxygen in smaller sample) x (Mass of larger sample / Mass of smaller sample)

By following these steps, you can calculate the mass of oxygen in a sample of carbon dioxide and understand the importance of this gas in the Earth's atmosphere.