Chlorine is widely used to purify municipal water supplies and to treat swimming pool water. Suppose that the volume of a particular sample of Cl2 gas is 8.80 L at 890 torr and 23 ∘C. How many grams of Cl2 are in the sample?

Mass = 30.104 g

Explanation:

Given dа ta:

Volume of Cl₂ = 8.80 L

Pressure = 890 torr (890/760 = 1.17 atm)

Temperature = 23°C (23+273 = 296K)

Mass of chlorine = ?

Solution:

PV = nRT

n = PV/RT

n = 1.17 atm * 8.80 L / 0.0821 atm. L. k⁻¹. mol⁻¹ * 296K

n = 10.296 atm. L / 24.30 atm. L. mol⁻¹

n = 0.424 mol

Mass of chlorine:

Mass = number of moles * molar mass

Mass = 0.424 mol * 71 g/mol

Mass = 30.104 g