Questions: A student needs to determine the density of an irregularly shaped object. This student prepares a solution mixture where the object is suspended. The collected data is shown in the table below. Liquid Density (g/mL) Volume (mL) Glycerol 1.2610 4.57 Isopropanol 0.797 3.27 Determine the density of the object. Round your answer to 3 significant digits.

Determine the density of the object using the given data.

Calculate the total mass of the solution.

To find the total mass of the solution, we need to calculate the mass of each component and then sum them up. The mass of a liquid can be calculated using the formula:

\[ \text{Mass} = \text{Density} \times \text{Volume} \]

For glycerol: \[ \text{Mass of glycerol} = 1.2610 \, \frac{\text{g}}{\text{mL}} \times 4.57 \, \text{mL} = 5.76217 \, \text{g} \]

For isopropanol: \[ \text{Mass of isopropanol} = 0.797 \, \frac{\text{g}}{\text{mL}} \times 3.27 \, \text{mL} = 2.60619 \, \text{g} \]

Total mass of the solution: \[ \text{Total mass} = 5.76217 \, \text{g} + 2.60619 \, \text{g} = 8.36836 \, \text{g} \]

Calculate the total volume of the solution.

The total volume of the solution is the sum of the volumes of glycerol and isopropanol:

\[ \text{Total volume} = 4.57 \, \text{mL} + 3.27 \, \text{mL} = 7.84 \, \text{mL} \]

Calculate the density of the solution.

The density of the solution can be calculated using the formula:

\[ \text{Density} = \frac{\text{Total mass}}{\text{Total volume}} \]

Substituting the values we calculated:

\[ \text{Density of the solution} = \frac{8.36836 \, \text{g}}{7.84 \, \text{mL}} = 1.067 \, \frac{\text{g}}{\text{mL}} \]

Rounding to three significant digits, the density of the solution is:

\[ \boxed{1.07 \, \frac{\text{g}}{\text{mL}}} \]

The density of the object is \( \boxed{1.07 \, \frac{\text{g}}{\text{mL}}} \).

The density of the object is \( \boxed{1.07 \, \frac{\text{g}}{\text{mL}}} \).