Calculate the volume of 1.00 mol of liquid water

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SUMMARY

The discussion focuses on calculating the volume of 1.00 mol of liquid water at 20°C, where its density is 998 kg/m³, and comparing it to the volume at the critical point, which is 56 x 10-6 m³. The molar mass of water is specified as 18.0 g/mol. The correct calculation involves converting the density from kg/m³ to g/ml and applying the formula: 1 mole x 18 g/mol / 0.998 g/ml. Participants clarify the conversion process and address discrepancies in volume calculations, emphasizing the importance of unit conversions.

PREREQUISITES
  • Understanding of molar mass and density concepts
  • Familiarity with unit conversions (kg/m³ to g/ml)
  • Basic knowledge of the ideal gas law and critical points
  • Proficiency in mathematical calculations involving volume
NEXT STEPS
  • Learn about the properties of supercritical fluids, specifically water
  • Study unit conversion techniques, particularly from m³ to cm³
  • Explore the implications of density changes at different temperatures
  • Investigate the significance of molar mass in chemical calculations
USEFUL FOR

Students in chemistry, particularly those studying physical chemistry, as well as educators and anyone involved in laboratory work requiring precise volume calculations of liquids.

Leo_lee
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Homework Statement


Calculate the volume of 1.00 mol of liquid water at 20°C (at which its density is 998 kg>m3),and compare that with the volume occupied by 1.00 mol of water at the critical point, which
is 56 * 10-6 m3. Water has a molar mass of 18.0 g>mol.

Full answer please!

Thanks,

Homework Equations



1 mole x 18g/mole / .998 g/ml

The Attempt at a Solution


First convert 998 kg>m3 to .998 g/ml

1 mole x 18g/mole / .998 g/ml = ___ml

Then do the same at Tc
But their number looks wrong to me. They're off by a factor >1000
 
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hello Leo, :welcome:

Might first want to study PF guidelines a bit ...

Leo_lee said:
their number
How can I agree or disagree if you don't show it ? (or do you mean the 56E-6 ? That is correct)
Never mind.
Work out your way down to the answer and post your work in detail.
 
the numbers are up there in the problem !
 
So how come you claim a mismatch of > 1000 ?
 
Leo_lee said:
But their number looks wrong to me. They're off by a factor >1000
What specific number looks wrong to you?
 
1.00 mol of liquid water at 20°C (at which its density is 998 kg>m3),and 1.00 mol of water at the critical point, which
is 56 * 10-6 m3. Water has a molar mass of 18.0 g>mol.
 
Sorry, but I'm uncertain as to what specific question you are asking.
 
Leo_lee said:
First convert 998 kg>m3 to .998 g/ml

1 mole x 18g/mole / .998 g/ml = ___ml
This looks correct.

Then do the same at Tc
But their number looks wrong to me. They're off by a factor >1000
Here's where I'm not sure what you are referring to.
 
  • #11
I don't !
 
  • #12
OK, it's a conversion problem.

1 m3 = (1 m) x (1 m) x (1 m). Express each 1 m as so many cm.
 

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