Question

calculate the relative humidity of the air at 40 ° C if the absolute humidity is 28 gm /cu. m. the amount of water vapour required to saturated the air at 40 ° c is 52. 12. gm /cu.m

Answer 1

Relative humidity (RH)
The ratio of the actual amount of water vapour in the air to the amount it could hold when saturated expressed as a percentage or the ratio of the actual vapour pressure to the saturation vapour pressure expressed as a percentage.


Absolute humidity (AH)
The mass of water vapour in a unit volume of air. It is a measure of the actual water vapour content of the air.


Thanks to World Meteorological Organization we can find saturation vapour pressure given the temperature and atmospheric pressure (read more at Saturation vapour pressure)

From relative humidity and saturation vapour pressure we can find actual vapour pressure.


Then we can use the general law of perfect gases


In our case this is


where R is universal gas constant equals to 8313.6, and Rv - specific gas constant for water vapour equals to 461.5

Thus we can express mass to volume ratio as

which is absolute humidity.

So, for 25 degrees centigrade and 60% relativy humidity, one cubic meter of moist air contains about 14 grams of water, which corresponds to conversion table values I've found before.

Answer 2

Answer:

Relative humidity (RH)

The ratio of the actual amount of water vapour in the air to the amount it could hold when saturated expressed as a percentage or the ratio of the actual vapour pressure to the saturation vapour pressure expressed as a percentage.



Absolute humidity (AH)

The mass of water vapour in a unit volume of air. It is a measure of the actual water vapour content of the air.



Thanks to World Meteorological Organization we can find saturation vapour pressure given the temperature and atmospheric pressure (read more at Saturation vapour pressure)

From relative humidity and saturation vapour pressure we can find actual vapour pressure.



Then we can use the general law of perfect gases



In our case this is



where R is universal gas constant equals to 8313.6, and Rv - specific gas constant for water vapour equals to 461.5

Thus we can express mass to volume ratio as



which is absolute humidity.

So, for 25 degrees centigrade and 60% relativy humidity, one cubic meter of moist air contains about 14 grams of water, which corresponds to conversion table values I've found before.

Explanation: