How Many Water Molecules in a Glass?

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SUMMARY

A glass of water with a volume of 6.0 x 10-4 cubic meters contains approximately 2 x 1019 water molecules. To determine the number of moles, one must first convert the volume of water to mass, recognizing that 1 cubic meter of water equals 1000 kg. Thus, the mass of the water is 6.0 x 10-4 kg. Using the molecular mass of water at 18.0153 g/mol, the calculation involves dividing the mass by the molecular mass and then multiplying by Avogadro's number (6.022 x 1023 molecules/mol) to find the total number of molecules.

PREREQUISITES
  • Understanding of Avogadro's number (6.022 x 1023 molecules/mol)
  • Knowledge of molecular mass, specifically for water (18.0153 g/mol)
  • Ability to convert between units of volume and mass
  • Basic algebra for performing calculations
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  • Learn about unit conversions between cubic meters and kilograms for water
  • Study the concept of moles in chemistry, focusing on Avogadro's law
  • Explore the calculation of molecular mass and its implications in stoichiometry
  • Investigate the significance of water's density in various states
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Students studying chemistry, particularly those tackling stoichiometry and molecular calculations, as well as educators looking for practical examples of mole conversions and water properties.

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Homework Statement


A glass of water has a volume of 6.0 x 10*-4 cubic metres.
How many moles of water molecules are there in the glass?




Homework Equations





The Attempt at a Solution


I know it has something to do with Avogadro’s number but can’t figure out exactly what to do.

The weight of the water molecules will equal 6.0 x 10*-4 kg, right?
The molecular mass of water molecule is 18.0153 u.

So would it be 0.0006 kg divided by 18.0153u to give the nuber of moles?
Then with the number of moles, multiply by avogadros number to get the number of molecules?


Which gives me 2 x 10*19 molecules?

Any correction or verification greatly appreciated:smile:
 
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chawkdee said:

Homework Statement


A glass of water has a volume of 6.0 x 10*-4 cubic metres.

...
The weight of the water molecules will equal 6.0 x 10*-4 kg, right?

Hey there chawkdee :smile: Cubic meters are not a unit of weight are they? They are a unit of volume.

How can you relate the volume of water to its mass?
 

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