[Single-digit Integer] A vessel of volume 3.0 l contains ideal gas at the temperature 0°C. After a portion of the gas has been let out, the pressure in the vessel decreases by 0.8 atm (the temperature

Question

[Single-digit Integer] A vessel of volume 3.0 l contains ideal gas at the temperature 0°C. After a portion of the gas has been let out, the pressure in the vessel decreases by 0.8 atm (the temperature remaining constant). The gas density under the normal condition (0°C and 1 atm) is 1.25 g/l. The mass of released gas (in g) is

Prashant Kotian · Accepted Answer

Correct answer: 3. Using PV = nRT, the change in pressure is ΔP = 0.8 atm. The change in moles is Δn = ΔP × V / RT = 0.8 × 3.0 / (0.0821 × 273) = 2.4 / 22.4 = 0.107 mol. Since the density at 0°C and 1 atm is 1.25 g/L, the molar mass of the gas is M = d × 22.4 = 1.25 × 22.4 = 28 g/mol. Mass of gas released = Δn × M = 0.107 × 28 = 3.0 g. Thus, the integer answer is 0003.

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