What is the density of water in kg dm³ if its density in g cm³ is 0.863?

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Understand the Problem

The question asks for the density of water in kg dm⁻³ based on its density provided in g cm⁻³. This requires a conversion between the two units.

Answer

The density of water in kg dm⁻³ is $0.863$.
Answer for screen readers

The density of water in kg dm⁻³ is $0.863$.

Steps to Solve

  1. Understand the density conversion requirements To convert a density value from grams per cubic centimeter (g cm⁻³) to kilograms per cubic decimeter (kg dm⁻³), we need to recognize the relationship between these units.

  2. Identify the conversion factor 1 g cm⁻³ is equivalent to 1 kg dm⁻³. Therefore, the value in g cm⁻³ can be transferred directly to kg dm⁻³ without any calculations.

  3. Apply the conversion Given the density of water is 0.863 g cm⁻³, we write: $$ \text{Density in kg dm}^-3 = \text{Density in g cm}^-3 = 0.863 \text{ kg dm}^{-3} $$

  4. Check the available options Now we compare our result with the provided options:

  • (A) 0.863
  • (B) 7.86
  • (C) 8.63
  • (D) 4.60 We find that the correct option is (A) 0.863.

The density of water in kg dm⁻³ is $0.863$.

More Information

The density of water is typically given as approximately 1 g/cm³, but it can vary slightly based on temperature and impurities. In this case, the value given (0.863 g cm⁻³) indicates a specific scenario or condition.

Tips

  • Mistaking the conversion factor; it is essential to remember that 1 g/cm³ equals 1 kg/dm³ when converting between these units.
  • Misinterpreting the units involved and miscalculating density due to incorrect conversion.
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