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At the beginning of a typical airline flight you are

Chapter 17, Problem 1CQ

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QUESTION:

Problem 1CQ

At the beginning of a typical airline flight you are instructed about the proper use of oxygen masks that will fall from the ceiling if the cabin pressure suddenly drops. You are advised that the oxygen masks are working properly, even if the bags do not fully inflate. In fact, the bags expand to their fullest if cabin pressure is lost at high altitude, but expand only partially if the plane is at low altitude. Explain.

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QUESTION:

Problem 1CQ

At the beginning of a typical airline flight you are instructed about the proper use of oxygen masks that will fall from the ceiling if the cabin pressure suddenly drops. You are advised that the oxygen masks are working properly, even if the bags do not fully inflate. In fact, the bags expand to their fullest if cabin pressure is lost at high altitude, but expand only partially if the plane is at low altitude. Explain.

ANSWER:

Step 1 of 2

The equation for the ideal gas is given by,

                                                                 

Here,  is the pressure, is the volume,  amount of gas, is gas constant and  is the temperature.

If the amount of gas, and temperature is constant, then the relationship between the pressure and the volume can be defined as,

                                                                 

From the above, the pressure of the gas in inversely proportional to the volume of the gas.

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