Final answer:
Using Avogadro's law and the direct proportionality of the volume of gas to the number of moles, 0.33 mol of nitrogen gas will occupy a volume of 5.06 L under the same conditions.
Step-by-step explanation:
The question is based on the chemical concept of Avogadro's law, which states that equal volumes of gases at the same temperature and pressure will contain the same number of moles. To determine the volume that 0.33 mol of nitrogen gas would occupy under the same conditions, we use a direct proportion based on the data given in the problem for 0.18 mol of nitrogen gas occupying 2.75 L.
Since the amount of gas and the volume it occupies are directly proportional, we can set up the equation as follows:
(0.18 mol) / (2.75 L) = (0.33 mol) / (V₂)
To find V₂, the unknown volume, we solve for it by cross-multiplying and dividing:V₂ = (0.33 mol) × (2.75 L) / (0.18 mol)
V₂ = 5.06 L
Therefore, 0.33 mol of nitrogen gas under the same temperature and pressure conditions will occupy a volume of 5.06 L.