__Gas Density Calculator:__

__Gas Density Calculator:__

Enter the values of pressure, P_{(Pa)}, molar mass, M_{(kg/mol)}, universal gas constant, R_{(J/mol.K)} and temperature, T_{(K)} to determine the value of Density of a gas, d_{(kg/m3)}.

__Gas Density Formula:__

__Gas Density Formula:__

Gas density is the measure of the mass of gas per unit volume, typically expressed in kilograms per cubic metre. It reflects how much mass is contained in a given volume of gas. Factors such as pressure, temperature, and molecular mass of the gas influence its density.

Higher pressure increases density, while higher temperature decreases density. The density of a gas can be determined using the Ideal Gas Law, which relates pressure, volume, temperature, and the number of moles of gas.

Pressure – the force exerted by the gas molecules on the container walls. Higher pressure signifies more molecules crammed into the space, increasing density.

Molar mass – the mass of one mole of the gas. Different gases have different molar masses.

Gas constant – a universal constant relating pressure, volume, and temperature for ideal gases.

Temperature – the average kinetic energy of the gas molecules. Higher temperature often leads to lower density as the gas molecules move faster and spread out more.

Density of a gas, d_{(kg/m3)} in kilograms per cubic metres is calculated by multiplying the pressure, P_{(Pa)} in Pascals by the molar mass, M_{(kg/mol)} in kilograms per mole and then dividing by the product of the universal gas constant, R_{(J/mol.K)} in joules per mole Kelvin and the temperature, T_{(K)} in Kelvin.

Density of a gas, d_{(kg/m3)} = P_{(Pa)} * M_{(kg/mol)} / R_{(J/mol.K)} * T_{(K)}

d_{(kg/m3)} = density of gas in kilograms per cubic metres, kg/m^{3}.

P_{(Pa) }= pressure in Pascals, Pa.

M_{(kg/mol)} = molar mass in kilograms per mole, kg/mol.

R_{(J/mol.K)} = universal gas constant in joules per mole Kelvin, J/mol.K.

T_{(K)} = temperature in Kelvin, K.

__Gas Density Calculation:__

__Gas Density Calculation:__

- A gas is kept at a pressure of 101325 Pa (1 atm) and a temperature of 298 K . The molar mass of the gas is 0.02896 kg/mol (air). Calculate the density of the gas.

Given: P_{(Pa) }= 101325Pa, M_{(kg/mol)} = 0.02896kg/mol, R_{(J/mol.K)} = 8.314J/mol.K, T_{(K)} = 298K.

Density of a gas, d_{(kg/m3)} = P_{(Pa)} * M_{(kg/mol)} / R_{(J/mol.K)} * T_{(K)}

d_{(kg/m3)} = 101325 * 0.02896 / 8.314 * 298

d_{(kg/m3)} = 2934.86 / 2476.972

d_{(kg/m3)} = 1.184kg/m^{3}.

- A gas with a molar mass of 0.044 kg/mol (CO₂) is at a temperature of 350 K. Its density is measured to be 1.98 kg/m
^{3}. Calculate the pressure of the gas.

Given: d_{(kg/m3)} = 1.98kg/m^{3}, M_{(kg/mol)} = 0.044kg/mol, R_{(J/mol.K)} = 8.314J/mol.K,

T_{(K)} = 350K.

Density of a gas, d_{(kg/m3)} = P_{(Pa)} * M_{(kg/mol)} / R_{(J/mol.K)} * T_{(K)}

P_{(Pa) }= d_{(kg/m3)} * R_{(J/mol.K)} * T_{(K)} / M_{(kg/mol)}

P_{(Pa) }= 1.98 * 8.314 * 350 / 0.044

P_{(Pa) }= 5782.452 / 0.044

P_{(Pa) }= 131420.27Pa.