Question

Show explicitly, using equations, how you will use your measurements to calculate the fluid density rho. Start by identifying any symbols you use in your equations.

Answer 1

To calculate fluid density, measure the mass (m) in grams and volume (V) in milliliters (mL) or cubic centimeters (cm³) of the object, then apply the equation ρ = m/V to find the density in g/mL or g/cm³.

Step-by-step explanation:

To calculate the density (ρ) of a fluid, you can use the mass (m) and volume (V) of the fluid. The equation to calculate density is ρ = m/V. To measure the density using a water displacement method:

1. Measure the mass of the object using a balance, ensuring the mass is expressed in grams (g).
2. Submerge the object in water and measure the volume of water displaced, which is equal to the volume of the object, ensuring the volume is expressed in milliliters (mL) or cubic centimeters (cm³), since 1 mL = 1 cm³.
3. Use the measured mass and volume to calculate the density using the formula ρ = m/V.
4. Verify the units are correct: Density should be reported in grams per milliliter (g/mL) or grams per cubic centimeter (g/cm³).

For example, if you measured a mass of 50 g and a volume of water displaced of 20 mL, the density of your sample would be ρ = m/V = 50 g / 20 mL = 2.5 g/mL.