Technical Calculator

Relative Humidity Calculator

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what's Relative Humidity?

“Relative Humidity is a measure of the quantity and moisture content material at a selected temperature and dew factor.”

A way to Calculate Relative Humidity (RH)?

\[Td = \frac{a \cdot (\ln(RH/100) + \frac{b \cdot T}{c + T})}{a - (\ln(RH/100) + \frac{b \cdot T}{c + T})}\]

Where:

  • Td = Dew point
  • T = Air temperature
  • RH = Relative Humidity
  • a, b, c = constants

Practical instance:

let's think on a selected day the air temperature is 30°C and the dew factor is 20°C. what's the Relative Humidity (RH)?

Given:

T = 30°C

Dew point = 20°C

The constants for water are:

\(A = 611.21 \, \text{Pa}\)

\(B = 17.502\)

\(C = 240.97°C\) at a temperature of 30°C

Solution:

The relative humidity equation is:

\[e = 611.21 \cdot \exp\left(\frac{17.502 \cdot 20}{20 + 240.97}\right)\]

Calculate \(e\):

Measure relative humidity by calculating "e".

        \[e \approx 611.21 \cdot \exp\left(\frac{350.04}{260.97}\right) \approx 611.21 \cdot 1.480 \approx 905.59 \, \text{Pa}\]

Calculate the Saturation Vapor Pressure

(\(e_s\)) at 30°C using the same formula but with a temperature of 30°C.

                                                                                                \[e_s = 611.21 \cdot \exp\left(\frac{17.502 \cdot 30}{30 + 240.97}\right)\]

Calculate \(e_s\):

                                                                                                \[e_s \approx 905.59 \, \text{Pa}\]

Now the relative humidity is:

\[RH = \frac{e}{e_s} \times 100\]

Insert the values of \(e\) and \(e_s\):

                                                                                \[RH = \frac{905.59}{905.59} \times 100 = 100\%\]

you could test the RH of the air at a particular temperature and strain with our Relative Humidity Calculator. it's going to give you on the spot output in order to allow you to analyze your manual calculations quicker.

FAQs:

what's Humidity Definition?

Humidity is the degree of the amount of water vapor in the air at a selected temperature and pressure and the phenomenon is referred to as the moist bulb effect. Humidity is without delay proportional to the amount of water. in the weather forecast, the humidity is referred to as the relative humidity

what is 100% Relative Humidity?

If the relative humidity is a hundred percentage then the dewpoint temperature and actual air temperature are the same.

what is the best Relative Humidity for fitness?

The ideal relative humidity for health and luxury is someplace among 30-50% humidity.