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# How to Calculate Relative Humidity Using a Formula

## Introduction

In this post, you will learn how to calculate relative humidity using a formula.

The formula for calculating relative humidity is

Relative Humidity = (Vapor pressure/Saturation vapor pressure) × 100%.

we can equally say that

Relative Humidity = (specific humidity/saturation vapor pressure) x 100%

The final answer for relative humidity is in percentage (%)

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## Examples of How to Calculate Relative Humidity Using a Formula

Here are a few examples of how to calculate relative humidity using a formula

### Example 1

The mass of water vapor in a given volume of air is 0.05g at 200c, while the mass of water vapor required to saturate it at the same temperature is 0.15g. Calculate the relative humidity of the air.

Solution

Data

Mass of water vapor in a given volume of air, Ma = 0.05g

Mass of water vapor required to saturate it at the same temperature, Mw = 0.15g

Relative humidity of air, Ra = ?

and

Ra = ( Ma / Mw ) x 100%

Ra = ( 0.05 / 0.15 ) x 100% = 33.33%

### Example 2

Assuming the actual vapor density is 20g/m3 at 300c compared to the saturation vapor density at the same temperature of 25g/m3. Calculate the relative humidity of the air.

Solution

Data:

Actual vapor density = 20g/m3

saturation vapor density = 25g/m3

Relative humidity = ?

And the formula is

Relative Humidity = (specific humidity/saturation vapor pressure) x 100%

Relative Humidity = (20/25) x 100% = 0.8 x 100% = 80%

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