Planet Bizzaro has an atmosphere of pure oxygen (O2).  At the surface, the O2 density is 1019 cm-3; the density decreases to 1.35×1018 cm-3 at an altitude of 10 km.  The average gravitational acceleration is 5 m/s2.  The molecular weight of O2 is 32 amu and 1 amu = 1.66×10-27 kg. What is the average scale height between the surface and 10 km?  Report your answer in km to 2 significant digits. The average scale height is ______ m

Applications and Investigations in Earth Science (9th Edition)
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ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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Planet Bizzaro has an atmosphere of pure oxygen (O2).  At the surface, the O2 density is 1019 cm-3; the density decreases to 1.35×1018 cm-3 at an altitude of 10 km.  The average gravitational acceleration is 5 m/s2.  The molecular weight of O2 is 32 amu and 1 amu = 1.66×10-27 kg.

What is the average scale height between the surface and 10 km?  Report your answer in km to 2 significant digits.

The average scale height is ______ m 

Expert Solution
Step 1: Average scale height

In the context of the issue, the average scale height is a measure of how quickly a substance's density—in this case, the density of oxygen molecules—decreases with increasing altitude in a planet's atmosphere. It's a crucial factor in figuring out how a substance's density changes with altitude and sheds light on the behavior of the atmosphere.

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Follow-up Question

Use the answer from the previous problem (and the information provided in the problem) to estimate the temperature in Bizzaro's atmosphere.  Report answer in Kelvin to 2 significant digits.  Neglect changes in gravity and temperature with height.

The temperature is  ______ K.

 

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