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Question

Calculate the molarity of pure water if its density at room temperature is 1.0g/cm3??

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Solution

  • Molarity is defined as the number of moles of the solute per litre of solution
  • Molarity = Number of moles of solute / Volume of solution (in litres)
  • We are given that density of water is 1 g/ ml. This is equal to 1 Kg/ L. Therefore mass of 1 Litre of water will be
  • = density of water X Volume ( using the relation density = mass/volume)
  • = 1 Kg / L X 1 L
  • = 1Kg = 1000 g
  • Therefore number of moles in 1Kg of water = mass / molar mass = 1000 / 18 = 55.56
  • Therefore molarity of water = 55.56 / 1 Litre =55.56 moles / L

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