Calculating Air Flush Time for Airliner Cabin with 30000 cuft and 10000 ppm of X

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SUMMARY

To calculate the air flush time for an airliner cabin of 30,000 cubic feet containing 10,000 ppm of substance X, the flow rate of fresh air is 600 cubic feet per minute. The goal is to reduce the concentration of X to 100 ppm. By establishing a differential equation for the amount of X (denoted as "p") over time, one can determine the time required to achieve the desired concentration level.

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juice34
A airliner cabin with 30000 cuft containing 10000 ppm of x is to be flushed with fresh air until the concentration is 100ppm of x. The flow rate is 600ft^3/min. How many minutes till the concentration is at 100ppm. Could somebody help me or guide me in solving this problem.
 
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juice34 said:
A airliner cabin with 30000 cuft containing 10000 ppm of x is to be flushed with fresh air until the concentration is 100ppm of x. The flow rate is 600ft^3/min. How many minutes till the concentration is at 100ppm. Could somebody help me or guide me in solving this problem.

Hi juice34! :smile:

You can assume that the flow rate in equals the flow rate out.

Hint: call the amount of x "p".

Then the flow in contains [how much?] of x/min (doesn't depend on p), and the flow out contains [how much?] of x/min (does depend on p) … make a differential equation for p and t. :smile:
 

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