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Chemistry · Some Basic Concepts of Chemistry

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A solid block of metal has a mass of \( 54.0 \text{ g} \) and dimensions such that its volume is \( 20.0 \text{ cm}^3 \). What is its density expressed in proper SI units (\( \text{kg m}^{-3} \))?

  1. \( 2.7 \times 10^2 \text{ kg m}^{-3} \)
  2. \( 2.7 \times 10^4 \text{ kg m}^{-3} \)
  3. \( 5.4 \times 10^3 \text{ kg m}^{-3} \)
  4. \( 2.7 \times 10^3 \text{ kg m}^{-3} \)

Correct answer · Option 4

\( 2.7 \times 10^3 \text{ kg m}^{-3} \)

Explanation

Density \( d = \frac{54 \text{ g}}{20 \text{ cm}^3} = 2.7 \text{ g cm}^{-3} = 2.7 \times 10^3 \text{ kg m}^{-3} \).
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