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Chemistry · Some Basic Concepts of Chemistry

हिन्दी

A sample of gas occupies a volume of \( 4.5\text{ dm}^3 \). What is this volume expressed in the SI unit of volume (\( \text{m}^3 \))?

  1. \( 4.5 \times 10^{-3}\text{ m}^3 \)
  2. \( 4.5 \times 10^{-2}\text{ m}^3 \)
  3. \( 4.5 \times 10^{-1}\text{ m}^3 \)
  4. \( 4.5 \times 10^{-6}\text{ m}^3 \)

Correct answer · Option 1

\( 4.5 \times 10^{-3}\text{ m}^3 \)

Explanation

Since \( 1\text{ dm} = 10^{-1}\text{ m} \), \( 1\text{ dm}^3 = (10^{-1}\text{ m})^3 = 10^{-3}\text{ m}^3 \). Thus, \( 4.5\text{ dm}^3 = 4.5 \times 10^{-3}\text{ m}^3 \).
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