Chapter 2, Problem 2.2P

Interpretation Introduction

Interpretation: Assuming the ideal gas behavior, the height at a particular pressure is to be determined by applying the barometric equation.

Concept introduction: The barometric equation can be applied to determine the pressure at a particular height or height for a given pressure.

The barometric equation can be given as

  $\frac{\text{dP}}{\text{P}}\text{= -}\frac{\text{gM}}{\text{RT}}\text{dZ}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}$ ……. (1)

  $\begin{array}{l}\text{P }\text{}\text{= }\text{}\text{Pressure }\text{}\text{at }\text{}\text{the }\text{}\text{given }\text{}\text{height}\\ \text{g = Acceleration due to gravity = 9}{\text{.8 m/s}}^{\text{2}}\\ \text{M=Molecular }\text{}\text{weight }\text{}\text{of }\text{}\text{air}\\ \text{R=Universal gas constant }\text{}\text{= 8}\text{.314 J/mol}\text{.K}\\ \text{T=Temperature of earth's atmosphere}\\ \text{Z =Elevation point}\end{array}$