Ethylene glycol (antifreeze) has a density of 1.11 g / cm^3 . a. What is the mass in g of 417 mL

step 1 For part A, let's solve for the mass of effluent glycol, which is equal to density times the vol

Ethylene glycol (antifreeze) has a density of 1.11 g / cm^3...

Ethylene glycol (antifreeze) has a density of 1.11 $\mathrm{g} / \mathrm{cm}^{3} .$
a. What is the mass in $g$ of 417 $\mathrm{mL}$ of this liquid?
b. What is the volume in $\mathrm{L}$ of 4.1 $\mathrm{kg}$ of this liquid?

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Key Concepts

Density

Density is a physical property that relates the mass of a substance to its volume by dividing the mass by the volume. It serves as a conversion factor between mass and volume and is typically expressed in units like grams per cubic centimeter (g/cm³) or kilograms per liter (kg/L). This concept is foundational for solving problems where one needs to convert between mass and volume.

Mass-Volume Relationship

The mass-volume relationship uses the formula mass = density × volume. This allows one to determine the mass of an object if its volume and density are known, or conversely, to calculate the volume from a known mass and density. This relationship is essential in many fields, including chemistry and engineering.

Unit Conversion

Unit conversion involves converting quantities from one set of units to another to ensure consistency in calculations. For example, recognizing that milliliters and cubic centimeters are equivalent (1 mL = 1 cm³) and converting between grams and kilograms (1 kg = 1000 g) are key skills. Proper unit conversion is critical in applying the density formula correctly in different measurement systems.

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