Question

suppose the relative humidity of the air was 96% on a cold morning when the temperature was 20 degrees celsius. In the afternoon,the air temperature has risen to 35 degrees celsius,but the actual amount of water vapour in the air is the same as it was in the morning. What is the approximate relative humidity in the afternoon?

Answer 1

is mathematically given as

RH=37.04%

What is the approximate relative humidity in the afternoon?

Question Parameters:

the relative humidity of the air was 96% on a cold morning

when the temperature was 20 degrees celsius. In the afternoon

the air temperature has risen to 35 degrees celsius

Generally, the equation for the Relative humidity  is mathematically given as

$H=\frac{vapor pressure of water}{saturated vapor pressure of water}$

Therefore

At 20

where

vapor pressure of water at 20 =2.34kpa

$H=\frac{96*2.34}{100}$

At 35

'vapor pressure of water at 20 =5.63kpa

H=\frac{96*5.36}{100}

In conclusion The relative humidity

RH=(90*2.34)/(100*5.63)*100

RH=37.04%

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