Density Calculation: Inspiring Formula to Discover the Unknown

What is the density of the object?

A) 1.234 g/mL B) 2.567 g/mL C) 0.789 g/mL D) 3.412 g/mL

Final answer: The density of the object is 1.23 g/mL (Option A).

Answer:

The density of the object is 1.23 g/mL.

To find the density of the object, we need to use the formula: density = mass/volume. We are given the mass of the graduated cylinder without the object (10.10 g), the mass of the liquid inside the cylinder (52.72 g), and the mass of the cylinder with the object (92.87 g). We are also given the initial volume of the liquid (19.1 mL) and the final volume after placing the object (43.6 mL).

First, we need to find the mass of the object by subtracting the mass of the cylinder and liquid from the mass of the cylinder and liquid with the object: 92.87 g - 10.10 g - 52.72 g = 30.05 g.

Next, we can calculate the change in volume: 43.6 mL - 19.1 mL = 24.5 mL.

Finally, we can use the formula to calculate the density: density = mass/volume = 30.05 g/24.5 mL = 1.23 g/mL.

Therefore, the density of the object is 1.23 g/mL.

Hence, the correct answer is 1.23 g/mL (Option A).