Verified Solution Science Exploration: Entering the World of Secondary Science

A student measures the mass of a substance as 25.4 g and its volume as 5.0 cm³. What is the density of the substance, reported with the correct number of significant figures?

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Solution ✔ Verified
  • A5.08 g/cm³
  • B5.1 g/cm³
  • C5 g/cm³
  • D5.080 g/cm³
Explanation

Density = mass/volume = 25.4 g / 5.0 cm³ = 5.08 g/cm³. When multiplying or dividing, the result should have the same number of significant figures as the measurement with the fewest significant figures. Here, 25.4 g has 3 sig figs and 5.0 cm³ has 2 sig figs. Therefore, the answer should be rounded to 2 significant figures: 5.1 g/cm³.

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