Answer the following questions, modelling air as a diatomic ideal gas with average molar mass M = 29 g/mol and the ratio of specific heats y Cp = 1.4. Cy 1. Show that the pressure gradient for the change of altitude is given by dP MgP dy RT where y is the altitude from the ground, g is the gravitational acceleration which is assumed to be constant, T is the temperature and R is the gas constant.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter2: The Kinetic Theory Of Gases
Section: Chapter Questions
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Answer the following questions, modelling air as a diatomic ideal gas with average molar mass M =
29 g/mol and the ratio of specific heats y
Cp
= 1.4.
Cy
1. Show that the pressure gradient for the change of altitude is given by
dP
MgP
dy
RT
where y is the altitude from the ground, g is the gravitational acceleration which is assumed to be
constant, T is the temperature and R is the gas constant.
Transcribed Image Text:Answer the following questions, modelling air as a diatomic ideal gas with average molar mass M = 29 g/mol and the ratio of specific heats y Cp = 1.4. Cy 1. Show that the pressure gradient for the change of altitude is given by dP MgP dy RT where y is the altitude from the ground, g is the gravitational acceleration which is assumed to be constant, T is the temperature and R is the gas constant.
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