Final answer:
The density of the liquid is calculated using the formula ρ = m / V, resulting in a density of 0.600 g/mL when expressed to three significant figures.
Step-by-step explanation:
To calculate the density of a liquid, we use the formula density (ρ) = mass (m) / volume (V). Given that the mass of the liquid is 0.165 g and the volume is 0.000275 L, we need to first convert the volume from liters to milliliters (1 L = 1000 mL) which gives us a volume of 0.275 mL. Therefore, the density of the liquid is ρ = 0.165 g / 0.275 mL = 0.6 g/mL.
The density is usually expressed with the appropriate number of significant figures. In this case, since we have three significant figures in the mass and three in the volume after conversion, our density should also be reported with three significant figures. Thus, the density is 0.600 g/mL.