What is the density of water in kg dm³ if its density in g cm³ is 0.863?
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
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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.
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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.
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Apply the conversion Given the density of water is 0.863 g cm⁻³, we write: $$ \text{Density in kg dm}^-3 = \text{Density in g cm}^-3 = 0.863 \text{ kg dm}^{-3} $$
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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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