High School

Find the density in units of g/ml for a sample with a mass of 0.394 kg and a volume of [tex]4.2 \times 10^3 \text{ mm}^3[/tex].

a) 0.094 g/ml
b) 9.4 g/ml
c) 0.94 g/ml
d) 94 g/ml

Answer :

Final answer:

To find the density of a sample, convert mass to grams, volume to milliliters, and divide the mass by the volume in milliliters. The density of the sample is 0.094 g/ml.The correct option is (a) 0.094 g/ml.

Explanation:

The density of a sample with a mass of 0.394 kg and a volume of 4.2 × 10^3 mm³ can be calculated by:

  1. Converting the mass to grams (1 kg = 1000 g).
  2. Converting the volume to milliliters (1 mm³ = 1 x 10^-3 mL).
  3. Dividing the mass in grams by the volume in milliliters to get the density in g/mL.

The density of the sample is 0.094 g/ml.