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use the following data to help you answer the questions. substance mass…

Question

use the following data to help you answer the questions.
substance mass (g) volume (cm³) density (g/cm³)
oak wood 10 11.7 0.9
beeswax 10 10 1.0
ebony wood 10 9.1 1.1
aluminum 10 3.7 2.7

  1. the density of the substances differs because the mass of each differs. true false
  2. water has a density of 1.0 g/ml. all of the substances in the data table will sink in water true false
  3. the greater the volume of a substance, the greater the density. true false

Explanation:

Step1: Analyze statement 1

Density is mass per unit volume ($
ho=\frac{m}{V}$). Here mass is same for all substances (10 g), so density differences are due to volume differences, not mass differences. So statement 1 is false.

Step2: Analyze statement 2

Oak - wood density ($0.9\ g/cm^{3}$) is less than water density ($1.0\ g/mL = 1.0\ g/cm^{3}$), so oak - wood will float. Not all substances will sink. So statement 2 is false.

Step3: Analyze statement 3

From the data, oak - wood has larger volume ($11.7\ cm^{3}$) but lower density ($0.9\ g/cm^{3}$) compared to ebony - wood with smaller volume ($9.1\ cm^{3}$) and higher density ($1.1\ g/cm^{3}$). So density is not directly proportional to volume. So statement 3 is false.

Answer:

  1. False
  2. False
  3. False