Calculate the volume of 1.00 mol of liquid water

In summary: Then do the same at TcBut their number looks wrong to me. They're off by a factor >1000This is correct.
  • #1
Leo_lee
5
0

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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  • #2
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.
 
  • #3
the numbers are up there in the problem !
 
  • #4
So how come you claim a mismatch of > 1000 ?
 
  • #6
Leo_lee said:
But their number looks wrong to me. They're off by a factor >1000
What specific number looks wrong to you?
 
  • #7
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.
 
  • #8
Sorry, but I'm uncertain as to what specific question you are asking.
 
  • #9
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.
 

1. How do you calculate the volume of 1.00 mol of liquid water?

The volume of 1.00 mol of liquid water can be calculated by multiplying the number of moles (1.00 mol) by the molar volume of water, which is 18.02 mL/mol at standard temperature and pressure (STP). This results in a volume of 18.02 mL for 1.00 mol of liquid water.

2. What is the molar volume of water at STP?

The molar volume of water at STP (standard temperature and pressure) is 18.02 mL/mol. This means that 1 mole of water at STP occupies a volume of 18.02 mL.

3. Can the volume of 1.00 mol of liquid water vary?

Yes, the volume of 1.00 mol of liquid water can vary depending on the temperature and pressure conditions. At STP, the molar volume of water is 18.02 mL/mol, but it can be different at other temperatures and pressures.

4. How does the volume of 1.00 mol of liquid water compare to other substances?

The volume of 1.00 mol of liquid water is relatively small compared to other substances. This is because the molar volume of water at STP is 18.02 mL/mol, which is much smaller than the molar volume of most gases, which can be hundreds of liters per mole.

5. Can the volume of 1.00 mol of liquid water change if it is heated or cooled?

Yes, the volume of 1.00 mol of liquid water can change if it is heated or cooled. This is because the molar volume of water is affected by temperature and pressure. As the temperature increases, the volume of 1.00 mol of liquid water will also increase, and vice versa for cooling. However, at STP, the volume of 1.00 mol of liquid water will remain constant.

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