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

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In summary, the problem involves an airliner cabin with a volume of 30000 cuft containing 10000 ppm of x. The flow rate of fresh air is 600ft^3/min and the goal is to flush the cabin until the concentration of x is at 100ppm. To solve this, we can use a differential equation for the amount of x and time.
  • #1
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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  • #2
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:
 
  • #3


To calculate the air flush time for the airliner cabin, we can use the formula:

t = (V * (C1 - C2)) / Q

Where:
t = time (in minutes)
V = volume of the cabin (in cubic feet)
C1 = initial concentration of X (in parts per million)
C2 = final concentration of X (in parts per million)
Q = flow rate (in cubic feet per minute)

Plugging in the given values, we get:

t = (30000 * (10000 - 100)) / 600
t = 4900 minutes

Therefore, it will take approximately 4900 minutes or 81.67 hours for the concentration of X to reach 100ppm in the airliner cabin.

It is important to note that this calculation assumes a constant flow rate and does not take into account any potential leaks or other factors that may affect the air flush time. It is always recommended to consult with a certified air quality specialist for accurate and precise calculations.
 

1. How do you calculate the air flush time for an airliner cabin?

To calculate the air flush time for an airliner cabin, you will need to know the volume of the cabin and the concentration of the gas you want to remove. Using the formula T = V/Q, where T is the air flush time, V is the cabin volume, and Q is the ventilation rate, you can determine the time needed to flush out the gas.

2. What is the recommended ventilation rate for an airliner cabin?

The recommended ventilation rate for an airliner cabin is typically around 20-30 air changes per hour. This means that the entire volume of the cabin should be replaced with fresh air 20-30 times in one hour to ensure proper air quality.

3. How do you determine the volume of an airliner cabin?

The volume of an airliner cabin can vary depending on the type of aircraft, but it is generally around 30,000 cubic feet. This can be calculated by multiplying the length, width, and height of the cabin. Alternatively, you can also find this information in the aircraft's specifications or by consulting the manufacturer.

4. What is considered a safe level of X gas in an airliner cabin?

The safe level of X gas in an airliner cabin is typically below 100 parts per million (ppm). However, this can vary depending on the specific gas and its effects on human health. It is important to consult safety regulations and guidelines to determine the acceptable concentration of X gas in a cabin.

5. How often should an airliner cabin be flushed to maintain air quality?

An airliner cabin should be flushed with fresh air at least once every flight. Depending on the length of the flight, it may be necessary to flush the cabin multiple times to maintain good air quality. It is also recommended to regularly monitor the air quality and adjust the ventilation rate as needed to ensure the safety and comfort of passengers and crew.

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