What is the density (g/mL) of each of the following samples? b. A syrup is added to an empty container with a mass of 115.25 g. When 0.100 pt of syrup is added, the total mass of the container and syrup is 182.48 g.

Verified step by step guidance

1. Step 1: Understand the formula for density. Density is defined as mass divided by volume, expressed as $\text{Density}=\frac{\text{Mass}}{\text{Volume}}$.
2. Step 2: Calculate the mass of the syrup. Subtract the mass of the empty container from the total mass of the container with syrup: $\text{Mass of syrup}=182.48\text{ g}-115.25\text{ g}$.
3. Step 3: Convert the volume of syrup from pints to milliliters. Use the conversion factor: 1 pint = 473.176 mL. Therefore, $0.100\text{ pt}\times 473.176\text{ mL/pt}$.
4. Step 4: Substitute the mass and volume of the syrup into the density formula. Use the mass calculated in Step 2 and the volume from Step 3.
5. Step 5: Simplify the expression to find the density in g/mL.

Key Concepts

Density

Density is defined as the mass of a substance divided by its volume, typically expressed in grams per milliliter (g/mL). It is a crucial property that helps identify materials and understand their behavior in different contexts. In this question, calculating the density of the syrup requires knowing both its mass and the volume added to the container.

Mass Measurement

Mass measurement involves determining the amount of matter in an object, usually measured in grams (g). In this scenario, the mass of the empty container and the mass of the syrup combined are provided, allowing us to calculate the mass of the syrup alone by subtracting the mass of the container from the total mass.

Volume Conversion

Volume conversion is the process of changing a measurement from one unit to another, which is essential for accurate calculations. In this case, the volume of syrup is given in pints, and it must be converted to milliliters (mL) to match the density calculation requirements, as 1 pint is approximately 473.176 mL.