(25 pts) Imagine that you are calibrating some meteorological sensors using a sp
ID: 120822 • Letter: #
Question
(25 pts) Imagine that you are calibrating some meteorological sensors using a specially designed closed and insulating chamber, which allows for the pressure and temperature to be varied. The mass of the air within the chamber remains constant and the pressure is controlled by changing the interior volume (imagine a piston configuration). Initially, the chamber is at a pressure of 1000 hPa and a temperature of 20 C . The relative humidity of the air within the chamber is 20%. What will be the relative humidity of the air if the temperature is decreased by 10 C and the pressure is reduced by 200 hPa?
Explanation / Answer
Saturated vapor pressure (ps) at 20o c = 6.11 * 10^((7.5*20)/237.3+20)) = 23.39 hPa
Saturated vapor pressure (ps)at 10o C = 6.11 * 10^((7.5*10)/237.3+10)) = 18.53 hPa
Relative humidity at 20o C = p/ps *100
20 =( p/ 23.39) *100
Vapor pressure (p) = 4.67 hPa
then,
relative humidity at 10 o C = p/ps *100
= (4.678*100)/18.53
= 25.25 %
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