Combining of two gases within an airflow

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SUMMARY

The discussion focuses on calculating the required airflow of 100% CO2 needed to achieve a final concentration of 0.5% CO2 in a 300 CFM airflow containing 0.0387% CO2. The user attempts to set up an equation to find the value of 'x', representing the CFM of 100% CO2 to be added. The equation formulated is based on the principle of mixing gases and requires solving for 'x' to determine the necessary flow rate of pure CO2 to reach the desired concentration.

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Homework Statement


not really a question, just stuck with something.
An airflow of 300 CFM has a contains 0.0387% CO2 (carbon dioxide-naturally occurring in air) flows through two ends of an rectangular open container from an exhaust fan located at the bottom.

Within the container 100% CO2 can be added through a controllable valve. This air will mix instantly with the passing .0387 300CFM airflow.

How much CFM of the 100%CO2 is required to add to the airflow to create a mixture of gases that = 0.5% CO2


Homework Equations





The Attempt at a Solution


I tried setting up a simple addition formula:

[(300CFM)/(.0387% CO2)] + [(x)/(100% CO2)] = (300+XCFM)/?

I'm not sure if this is even close to being right, even if it is...i don't remember how to find the new percentage of CO2 after adding a certain volume.

Maybe if the air was constant it would be easier for me...i just can't get my head around the whole "flowing" concept.
 
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Let 'x' be the airflow of 100% CO2 added. The airflow of CO2 due to the fan is 300 CFM (ft^3/min) times 0.0387%. The total airflow after the addition of the 100% CO2 will be 300 + x. 5% of that is the concentration of CO2 after the addition. The same amount of air + 100% CO2 enters the chamber as exits. Solve for x.
 

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