Question

An object having a mass of 24.0g is immersed in 15cm^3 of water. The total volume of the water and object is 22cm^3. Calculate the density of the object.

a) 1.71 g/cm^3
b) 0.67 g/cm^3
c) 1.60 g/cm^3
d) 1.33 g/cm^3

Answer 1

The density of the object is c) 1.60 g/cm³

Step-by-step explanation:

To calculate the density of the object, we can use the formula for density, which is density = mass/volume. The mass of the object is given as 24.0g, and the total volume of the water and object is 22cm³. The volume of water displaced by the object can be calculated by subtracting the initial volume of water (15cm³) from the total volume (22cm³), giving us a displaced volume of 7cm³.

Now, using the formula for density, we can calculate the density of the object as follows:

density = mass/volume = 24.0g/7cm³ = 3.43 g/cm³.

However, this value represents the density of the combined system of water and object. To find the density of just the object, we need to divide its mass by its own volume, which is 24.0g/7cm³ = 1.60 g/cm³.

Therefore, the density of the object is 1.60 g/cm³.