Chapter 1, Problem 1.14P

Interpretation Introduction

Interpretation:

The ambient pressure in Denver relative to the sea level under the given conditions should be identified.

Concept introduction:

First, plug in the value of rhow i.e. density which is equal to the ratio of mass to the volume. After that, insert the value of volume by ideal gas equation i.e.

PV =nRT

Where n = number of moles which is equal to the ratio of mass to the molar mass and put the value of number of moles in ideal gas equation and arrange the formula in terms of volume. Put the value of volume in the formula of density.

Given by:

  $\begin{array}{l}\frac{\text{dP}}{\text{dz}}\text{ = -ρg -------(1)}\\ \text{where, ρ = }\frac{\text{MP}}{\text{RT}}\\ \text{substituting for ρ in equation (1) we get:}\\ \frac{\text{dP}}{\text{dz}}\text{ = -}\frac{\text{MP}}{\text{RT}}\times \text{g}\end{array}$