Solution Found!
Answer: With the assumption that the air temperature is a
Chapter 18, Problem 20E(choose chapter or problem)
With the assumption that the air temperature is a uniform \(0.0^{\circ} \mathrm{C}\) (as in Example 18.4), what is the density of the air at an altitude of 1.00 km as a percentage of the density at the surface?
Equation Transcription:
Text Transcription:
0.0degC
Questions & Answers
QUESTION:
With the assumption that the air temperature is a uniform \(0.0^{\circ} \mathrm{C}\) (as in Example 18.4), what is the density of the air at an altitude of 1.00 km as a percentage of the density at the surface?
Equation Transcription:
Text Transcription:
0.0degC
ANSWER:
Solution 20E
We need to first find the expression for density with height. This can be derived from the expression of pressure as shown below.
We have density …..(1)
The variation of pressure with height is given by …..(2)
Here, atmospheric pressure , molar mass of air, acceleration due to gravity
height, universal gas constant, absolute temperature
Given, temperature
Altitude