The atmospheric pressure P (h) (in kilopascals) at a height h meters above sea level

Chapter 5, Problem 20

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The atmospheric pressure P (h) (in kilopascals) at a height h meters above sea level satisfies a differential equation P = kP for some positive constant k. (a) Barometric measurements show that P (0) = 101.3 and P (30,900) = 1.013. What is the decay constant k? (b) Determine the atmospheric pressure at h = 500.

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