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You have 26.4 g of [tex]O_2[/tex] gas in a container with twice the volume of one with [tex]CO_2[/tex] gas. The pressure and temperature of both containers are the same. Calculate the mass of carbon dioxide gas in the container.

A) 36.3 g
B) 26.4 g
C) 18.2 g
D) 13.2 g
E) None of these

Answer :

Final answer:

By using the concept of molar volume, and relating the volumes of gases to their quantities in moles, we calculate that the CO₂ container contains approximately 18.2g of CO₂. The answer option is c) 18.2 g.

Explanation:

In this question, we deal with the concept of molar volume - the volume occupied by one mole of any gas at a particular temperature and pressure. For ideal gases, this is about 22.4L at standard temperature and pressure (STP). We use this to equate the behaviors of O₂ and CO₂.

The molar mass of O₂ is 32g/mol, and you have 26.4g, so that's about 0.825 mol of O₂. The volume of CO₂ is half that of O₂, so we have about 0.4125 mol of CO₂ in the CO₂ container.

Let's use the concept of molar mass to find the mass of CO₂. The molar mass of CO₂ is 44.01g/mol. So, 0.4125 mol * 44.01 g/mol gives approximately 18.2g.

Therefore, the answer is c) 18.2 g.

Learn more about Molar Volume here:

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