Final answer:
The density of the unknown gas in the flask is 2.586 g/L when calculated using the formula ρ = mass/volume, with the mass given as 3.75 g, and the volume as 1.45 L.
Step-by-step explanation:
The question is asking for the density of an unknown gas that is contained in a flask under specific temperature and pressure conditions. The density (ρ) of a gas can be found using the formula:
ρ = rac{mass}{volume}
Where mass is the weight of the gas and volume is the space that the gas occupies. According to the information provided, the mass of the gas is 3.75 g and the volume is 1.45 L. Plugging these values into the formula:
ρ = rac{3.75 g}{1.45 L} = 2.586 g/L
Thus, the density of the gas is 2.586 g/L at 27 °C and 1.05 atm. It's important to note that this calculation assumes the ideal gas behavior.