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1 liter of water is equal to 1000 milliliters or 1000 grams (1 ml = 1 g). The molecular mass of water is 18.02, so the number of moles in 1 L of water is given by the equation:
1000 grams * (1 mol water / 18.02 MM) = 55.5 moles
Multiplying this number by 6.02 * 1023 or Avogadro's number (1 mole = 6.02 * 1023 particles) will yield about 3.35 * 1025. Therefore, 3.35 * 1025 particles are equal to one liter of water.
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There can be no equivalence. A milligram is a measure of mass. A litre is a measure of volume. The two measure different things and,according to basic principles of dimensional analysis, conversion from one to the other is not valid. If you are not convinced, consider a litre of air. How many milligrams? Next consider a litre of water. How many milligrams? The masses of equal volumes of the two substances will clearly be very different. So there is no direct conversion between mass and volume: you need to know the density of the substance to enable you to carry out the conversion.
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