Relative humidity calculations.

AI Thread Summary
The discussion centers on calculating absolute humidity from a given temperature and relative humidity. The initial calculation using Antoine's equation led to a mole fraction of water vapor, which was incorrect for determining absolute humidity. The correct method involves using the ideal gas law, specifically the formula pM/RT, to find the density of water vapor in gm/m3. Additionally, it was noted that the Antoine constants used were only valid for higher temperatures, suggesting the need for different constants for lower temperatures. The user resolved their confusion by realizing the need to adjust their calculations with the appropriate molecular weight conversion.
maistral
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This is totally pissing me off, I don't know what the heck am I doing wrong.

Alright, so I was given a temperature of 30°C at 30% relative humidity. I have to get the absolute humidity-

So I used Antoine; log(P)=7.96681-1668.21/(228+30); P = 31.6869mmHg.

0.3 x 31.6869 = 9.41517; 9.41517/(760-9.41517) = 1.25x10^-2.

Apparently the correct answer is 7.86x10^-3; and an air-water psychrometric chart says 0.008. What on Earth am I doing wrong?EDIT: Nevermind, I forgot that I have to multiply y 18/29.
 
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maistral said:
This is totally pissing me off, I don't know what the heck am I doing wrong.

Alright, so I was given a temperature of 30°C at 30% relative humidity. I have to get the absolute humidity-

So I used Antoine; log(P)=7.96681-1668.21/(228+30); P = 31.6869mmHg.

0.3 x 31.6869 = 9.41517; 9.41517/(760-9.41517) = 1.25x10^-2.

Apparently the correct answer is 7.86x10^-3; and an air-water psychrometric chart says 0.008. What on Earth am I doing wrong?


EDIT: Nevermind, I forgot that I have to multiply y 18/29.

What you calculated was the mole fraction of water vapor. The absolute humidity is defined as the density of water vapor in the air, in units of gm/m3. You need to use the ideal gas law to calculate the absolute humidity: pM/RT
 
The Antoine constants you used are also valid from 60C to 150C.
For temps of 0C to 60C, the following constants are used:

A=8.10765
B=1750.286
C=235.0
 
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