## 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 20^{0}c, 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, M_{a} = 0.05g

Mass of water vapor required to saturate it at the same temperature, M_{w} = 0.15g

Relative humidity of air, R_{a} = ?

and

R_{a} = ( M_{a} / M_{w} ) x 100%

R_{a} = ( 0.05 / 0.15 ) x 100% = 33.33%

### Example 2

Assuming the actual vapor density is 20g/m^{3} at 30^{0}c compared to the saturation vapor density at the same temperature of 25g/m^{3}. Calculate the relative humidity of the air.

**Solution**

**Data:**

Actual vapor density = 20g/m^{3}

saturation vapor density = 25g/m^{3}

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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**Check:**

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