Homework Help: Algebra II

Posted by Joy on Monday, November 21, 2011 at 1:29pm.

The barometric pressure in inches of mercury at a height of h feet above sea level is

p=30.0e^-kh

where k=3.83*10^-5. At what height will the pressure be 10.0 in. of mercury.

Algebra II - Reiny, Monday, November 21, 2011 at 2:57pm
I assume h is the height, so

30 e^(-kh) = 10
e^(-kh) = 1/3

- kh = ln (1/3)
-kh = -1.098612...
h = 1.098612/k = 28684.4

check:
30 ( e^(-.0000383(28684.4))
= 30(.3333333) = 9.9999997 , not bad

Answer this Question

Related Questions

Calc - Air pressure at sea level is 30 inches of mercury. At an altitude of h ...
Calculus - Air pressure at sea level is 30 inches of mercury. At an altitude of ...
Chemistry - 8. The usual partial pressure of oxygen that people get at sea level...
Chemistry - How do I solve this? The usual partial pressure of oxygen that ...
Chemistry - How do I solve this? The usual partial pressure of oxygen that ...
Chemistry - How do I solve this? The usual partial pressure of oxygen that ...
precalculus - The earth's atmospheric pressure, P, in terms of height above ...
Algebra (MAT 117) - b. Suppose that an object is 100 pounds when it is at sea ...
College Algebra - The atmospheric pressure P in pounds per square inch, at x ...
math - The average air pressure at sea-level will support the column of mercury ...

For Further Reading

First Name:
School Subject:
Answer: