Calculate the volume of 1.00 mol of liquid water

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Homework Help Overview

The discussion revolves around calculating the volume of 1.00 mol of liquid water at 20°C, given its density, and comparing it to the volume at the critical point. The problem involves understanding the relationship between mass, volume, and density, as well as unit conversions.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the conversion of density from kg/m³ to g/ml and the calculation of volume using the molar mass of water. There are questions about the accuracy of the numbers being used, particularly regarding a perceived mismatch in volume calculations.

Discussion Status

The discussion is ongoing, with participants seeking clarification on specific calculations and conversions. Some guidance has been offered regarding unit conversions, but there is no explicit consensus on the calculations or the numbers involved.

Contextual Notes

Participants are navigating potential errors in their calculations and discussing the implications of unit conversions, particularly from cubic meters to cubic centimeters. There is an emphasis on working through the problem step-by-step.

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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