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Is 1 kg of water equal to 1 liter of water?

Chemistry

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Answer

C

Both are equal

Step-by-step solution

4 steps
  1. Understand the relationship between mass and volume for water.

    The density of water is approximately 1 kg/L1 \text{ kg/L} (kilogram per liter) at standard conditions (specifically, at 4∘C4^\circ \text{C}). This means that 1 liter1 \text{ liter} of water has a mass of 1 kilogram1 \text{ kilogram}.

  2. Compare the given quantities.

    We are comparing:

    • 1 kg1 \text{ kg} of water (a measure of mass)
    • 1 liter1 \text{ liter} of water (a measure of volume)
  3. Convert one quantity to the unit of the other.

    Using the density of water:
    The mass of 1 liter1 \text{ liter} of water is given by:

    Mass=Density×Volume\text{Mass} = \text{Density} \times \text{Volume} Mass=1kgL×1 L\text{Mass} = 1 \frac{\text{kg}}{\text{L}} \times 1 \text{ L} Mass=1 kg\text{Mass} = 1 \text{ kg}

    So, 1 liter1 \text{ liter} of water has a mass of 1 kg1 \text{ kg}.

  4. Conclude the comparison.

    Since 1 kg1 \text{ kg} of water has a mass of 1 kg1 \text{ kg}, and 1 liter1 \text{ liter} of water also has a mass of 1 kg1 \text{ kg}, both quantities are equal.

    The correct option is c) Both are equal.

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