What is the relationship between relative humidity and temperature?

In summary, the closed room has a temperature of 15 degrees Celsius and a relative humidity of 60%. To find the relative humidity at 20 degrees Celsius, we use the equation RH= [Partial pressure at 15 degree celsius(P15)/SVP at 15]*100%, where P15V = m1rT288 and p20V=m2rT293. Since it is a closed room, the mass of water vapor present does not increase with temperature. Therefore, to find the relative humidity at 20 degrees Celsius, the mass of water vapor (m1) is taken to be equal to the mass of water vapor (m2) at 15 degrees Celsius. This results in a relative humidity of
  • #1
leena19
186
0

Homework Statement



Temperature of a closed room is 15 degree celsius (T288).Relative humidity(RH)at 15degree celsius =60%
Find the RH when the temperature is 20 degrees.
S.V.P at 15 degrees celsius=12.67mmHg
SVP at 20 degree celsius = 17.36mmHg
(ans:45%)

Homework Equations





The Attempt at a Solution


RH= [Partial pressure at 15 degree celsius(P15)/SVP at 15]*100%

P15V = m1rT288 ----------(1)
p20V=m2rT293 -----------(2)

I get the answer when i take m1 as equal to m2,but I don't understand why they should be equal.
Doesn't m,the mass of water vapour present in the room increase with temperature?

Thanx
 
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  • #2
Hi leena19! :wink:
leena19 said:
Temperature of a closed room is 15 degree celsius …
…
Doesn't m,the mass of water vapour present in the room increase with temperature?

Always study the question …

it's a closed room! :rolleyes:​

Where would the extra mass come from? :smile:
 
  • #3
Ah!OK.
Thank you very much!
 

Related to What is the relationship between relative humidity and temperature?

1. What is relative humidity?

Relative humidity is a measure of the amount of moisture in the air compared to the maximum amount of moisture that the air can hold at a specific temperature. It is expressed as a percentage and is influenced by factors such as temperature, air pressure, and water vapor content.

2. How is relative humidity measured?

Relative humidity is typically measured using a hygrometer, which is a type of instrument that can accurately measure the amount of water vapor in the air. It works by using either a wet-bulb or dry-bulb thermometer to compare the temperature of the air to the temperature of a surface that is kept at 100% humidity.

3. What is the ideal relative humidity for human comfort?

The ideal relative humidity for human comfort is between 40-60%. This range is considered comfortable for most people, as it is not too dry or too humid. However, this can also vary depending on personal preferences and the temperature.

4. How does relative humidity impact the weather?

Relative humidity plays a crucial role in weather patterns and conditions. High relative humidity can lead to cloud formation, precipitation, and fog, while low relative humidity can result in dry, clear skies and potential fire hazards. It can also affect the perceived temperature, with higher humidity making it feel hotter and lower humidity making it feel cooler.

5. How can relative humidity impact health?

Extreme levels of relative humidity, either too high or too low, can have negative effects on human health. High humidity can make it difficult for the body to cool itself, leading to heat exhaustion and dehydration. Low humidity can dry out the respiratory system and skin, potentially causing dryness, irritation, and increased risk of respiratory infections. It is important to maintain a healthy balance of relative humidity for optimal health.

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