# Density of Gas Formula

## What is the Density of Gas?

Density is defined as mass per unit volume of a substance under specific conditions of temperature and pressure. The density of the gas is equal to its mass divided by the volume. You can calculate the molar mass of the substance once the density of the gas is known. The Density varies with temperature and pressure.

## ideal gas density formula

The density of gas formula is mathematically expressed as

$\rho =MP/RT$Â  Â  Â  Â  Â  Â  Â  Â  Â  Â

Where in,

$\rho$Â – ideal gas density in Kg/l

P – pressure in atm

M – molar mass in g/mol

R – universal gas constant (8.32 Joule)

T –Â  temperature of the gas in K

## Solved Numerical

### Example 1

Determine the density of aÂ gas at 400cÂ at a pressure of 5atm and having a molar mass of 80.15 g/mol

Solution

Given:

M= 80.15 g/mol

P =5atm

T= 400c

R=Â 8.32 Joule

Â Â $\rho =MP/RT$Â Â

$\rho =(80.15)(5)/(8.32)(40)$
Â  Â  Â =Â  400.75/332.8
Â  Â  Â = 1.204 Kg/l

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