Gas Density Calculator

Gas Density Calculator:

Enter the values of pressure, P_(atm), molecular weight, M_(g/mol), universal gas constant, R_{(L.atm/mol.K)} and temperature, T_(K) to determine the value of Gas density, d_(g/L).

Enter Pressure:		atm
Enter Molecular Weight:		g/mol
Enter Universal Gas Constant:		L.atm/mol.K
Enter Temperature:		K
Result – Gas Density:		g/L

Gas Density Formula:

Gas density is a fundamental property that defines the mass of gas per unit volume. It is typically expressed in grams per liter (g/L) or kilograms per cubic  meter (kg/m³). Gas density depends on pressure, temperature, and molecular weight and varies with changes in these conditions. Unlike solids and liquids, gases are highly compressible, meaning their density changes significantly with external conditions.

The density of a gas is influenced by the Ideal Gas Law, which states that gases expand when heated and contract when cooled, affecting their density. At constant pressure, an increase in temperature decreases gas density, while at constant temperature, an increase in pressure increases gas density.

Gas density is a crucial parameter in various scientific and industrial applications, including chemical engineering, meteorology, and fluid dynamics. It helps determine buoyancy, diffusion rates, and gas flow behaviors.

Molecular weight (M) of the gas is a key factor in density calculations. Lighter gases, like hydrogen and helium, have lower densities, while heavier gases, such as carbon dioxide and sulfur hexafluoride, have higher densities.

Gas density, d_(g/L) in grams per litre is equal to the product of pressure, P_(atm) in atmospheres and molecular weight, M_(g/mol) in grams per mole, divided by the product of the universal gas constant, R_{(L.atm/mol.K)} in litre-atmosphere per mole-Kelvin and temperature, T_(K) in Kelvin.

Gas density, d_(g/L) = P_(atm) * M_(g/mol) /  R_{(L.atm/mol.K)} *  T_(K)

d_(g/L) = gas density in grams per litres, g/L.

P_(atm) = pressure in atmospheres, atm.

M_(g/mol) = molecular weight in gram per mole, g/mol.

R_{(L.atm/mol.K)} = universal gas constant in  litre-atmosphere per mole-Kelvin, L.atm/mol.K.

T_(K) = temperature in Kelvin, K.

Gas Density Calculation:

1. A gas has a molecular weight of 44 g/mol and is at a pressure of 2 atm and a temperature of 300 K. Find the density of the gas.

Given: P_(atm) = 2atm, M_(g/mol) = 44g/mol, R_{(L.atm/mol.K)} = 0.0821 L.atm/mol.K, T_(K) = 300K.

Gas density, d_(g/L) = P_(atm) * M_(g/mol) /  R_{(L.atm/mol.K)} *  T_(K)

d_(g/L) = 2 * 44 / 0.0821 * 300

d_(g/L) = 88 / 24.63

d_(g/L) = 3.57g/L.

2. A gas has a density of 1.25 g/L at a temperature of 273 K and a molecular weight of 32 g/mol. Find the pressure of the gas.

Given: d_(g/L) = 1.25g/L, M_(g/mol) = 32g/mol, R_{(L.atm/mol.K)} = 0.0821 L.atm/mol.K, T_(K) = 273K.

Gas density, d_(g/L) = P_(atm) * M_(g/mol) /  R_{(L.atm/mol.K)} *  T_(K)

P_(atm) = d_(g/L) * R_{(L.atm/mol.K)} *  T_(K) / M_(g/mol)

P_(atm) = 1.25 * 0.0821 * 273 / 32

P_(atm) = 27.96 / 32

P_(atm) = 0.87atm.