Calculate the volume of 1.00 mol of liquid water

AI Thread Summary
To calculate the volume of 1.00 mol of liquid water at 20°C, the density of water (998 kg/m³) is converted to 0.998 g/ml. Using the molar mass of water (18.0 g/mol), the volume is determined by the formula 1 mole x 18 g/mol / 0.998 g/ml. The volume of 1.00 mol of water at the critical point is noted as 56 x 10^-6 m³. The discussion highlights confusion over a perceived mismatch in volume calculations, emphasizing the importance of unit conversions, particularly from m³ to cm³. Understanding these conversions is crucial for accurate calculations in chemistry.
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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