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Chapter 5: Q. 102 (page 285)

Atmospheric Pressure The atmospheric pressure p on a balloon or plane decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the height h (in kilometers) above sea level by the function

p(h)=760e-0.145h

(a) Find the atmospheric pressure at a height of 2 kilometers (over a mile).
(b) What is it at a height of 10 kilometers (over 30,000 feet)?

Short Answer

Expert verified

(a) 568.68mm

(b) 178.27mm

Step by step solution

01

Step 1.Given inforamation

Let us consider the height above sea level beh.
And the atmospheric pressure above sea level as a function of height be p(h)=760e-0.145h

02

Step 2.

Let us consider height be 2 kilometers
Therefore pressure will be

p(2)=760e-0.145脳2=760(7482)=568.68mm

03

Step 3.(b) What is it at a height of 10 kilometers (over 30,000 feet)? 

Let us consider height be 10 kilometers
Therefore pressure will be
p(10)=760e0.145脳10=760(0.2345)=178.27mm

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