A vessel of volume 3.0 l contains ideal gas at the temperature 0°C. After a portion of the gas has b — States of Matter and Gaseous State Chemistry Question
Question
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
💡 Solution & Explanation
Density at STP is $1.25\text{ g/L}$, so molar mass $M = \frac{dRT}{P} = \frac{1.25 \times 0.0821 \times 273}{1} = 28\text{ g/mol}$. The number of moles released is $\Delta n = \frac{\Delta P \cdot V}{RT} = \frac{0.8 \times 3.0}{0.0821 \times 273} \approx \frac{2.4}{22.4} \text{ mol}$. The mass released is $\Delta m = \Delta n \times M = \frac{2.4}{22.4} \times 28 = 3.0\text{ g}$. Therefore, correct answer is 3.