Chapter 6, Problem 115IAE

Interpretation Introduction

Interpretation:

The temperature to which air must be cooled to give a relative humidity of $80\%$ should be calculated.

Concept introduction:

The ideal gas equation can be expressed as follows,

$PV=nRT$

Gay-Lussac’s law gives the relationship between the pressure of an ideal gas and a temperature of an ideal gas. According to gay-Lussac’s law, the temperature of the ideal gas on the Kelvin scale is directly proportional to the pressure of the ideal gas at constant volume. This law can be expressed as follows:

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

The conversion factor to convert $°\text{C}$ to Kelvin is,

$T\left(\text{K}\right)=T\left(°\text{C}\right)+273$