Answer: The Relative humidity is 50%
Explanation: Relative humidity is the ratio of the air’s water vapour content (the actual amount of water vapour in the air) to its water vapour capacity at a given temperature. It depends on temperature and the pressure of the system of interest and it is usually expressed in PERCENTAGE; the higher the percentage, the more humid the air/water mixture.
The formula of Relative humidity (%) = (water vapor content / water vapor capacity) x 100%
Where: Water vapour content is the actual amount of water vapour in the air. Which is 10g/cm³ from the question above;
Water vapour capacity is the air's capacity to hold water vapour. Which is 20g/cm³ from the question above.
Therefore, RH(%)= (10g/cm³ / 20g/cm³) x 100 = 0.5 x 100= 50%
This means that the air contains half of the water vapour it could hold at 20 degree Celsius.
Using the relative humidity formular, the percentage relative humidity value is 50%
The relative humidity percentage can be calculated thus :
Inputting the values into the formula :
[tex]Relative \: humidity = \frac{10 g/m³}{20 g/m³} \times 100[/tex]%
[tex]Relative \: humidity = 0.5 \times 100[/tex]%
Relative humidity = 50%
The relative humidity expressed as a percentage is 50%.
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