Question

For the given data, calculate the volume (in mL):

a. Density: 7.8 g/cm³, Mass: 35 g
b. Density: 2.7 g/mL, Mass: 1.2 kg
c. Density: 0.975 g/mL, Mass: 120.2 mg

Answer 1

To calculate volume given mass and density, the formula Volume = Mass / Density is used. For the densities and masses provided, the volumes were calculated to be 4.487 mL, 444.444 mL, and 0.1233 mL respectively.

Step-by-step explanation:

To calculate the volume when the density and mass are given, we use the formula Volume (V) = Mass (m) / Density (d). Let's calculate the volume for each of the provided data sets:

1. For a density of 7.8 g/cm³ and a mass of 35 g, the volume is calculated as follows:
   
   V = m / d = 35 g / 7.8 g/cm³ = 4.487 cm³ or 4.487 mL (since 1 cm³ = 1 mL).
2. For a density of 2.7 g/mL and a mass of 1.2 kg (which is 1200 g since 1 kg = 1000 g), the volume is:
   
   V = m / d = 1200 g / 2.7 g/mL = 444.444 mL.
3. For a density of 0.975 g/mL and a mass of 120.2 mg (which is 0.1202 g since 1 mg = 0.001 g), the volume is:
   
   V = m / d = 0.1202 g / 0.975 g/mL = 0.1233 mL.