The density of SO2 gas in a container at room temperature 25.0 c is 2.51 g/L Determine the pressure in this flask

0.957 atm.

Explanation:

The general law of ideal gases is:

PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the container in L.

n is the no. of moles of the gas.

R is the genral gas constant.

T is the temperature of the gas in K.

∵ n = mass/molar mass.

∴ PV = (mass/molar mass) RT

∴ P = (mass/V) (RT/molar mass)

∵ d = mass/V

∴ P = dRT/molar mass

∵ d = 2.51 g/L, R = 0.082 L. atm/mol. K, T = 25°C + 273 = 298 K, molar mass of SO₂ = 64.06 g/mol.

∴ P = dRT/molar mass = (2.51 g/L) (0.082 L. atm/mol. K) (298.0 K) / (64.06 g/mol) = 0.957 atm.