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Problem

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Textbook ExpertVerified Tutor
3 Nov 2021

Given information

Given that the rate of change of atmospheric pressure  with respect to  altitude is proportional to ,

Provided that the temperature is constant.

Given at  the pressure is  at sea level and   at 

Step-by-step explanation

Step 1.

Analyze the given data the rate of change of atmospheric pressure  with respect to  altitude is proportional to , where the temperature is constant.

Thus write

 

Given at  the pressure is  at sea level and   at 

Therefore,

 

 

 

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