What is the Specific Entropy of Ice?

In summary, the Specific Entropy of Water is 69.9J/K. To approximate the entropy of ice near the freezing point, one must subtract the decrease in entropy when a liquid freezes (\frac{L}{T}) from the entropy of water at 0°C, which is 63.3 J/K-mol. The latent heat of fusion for water is 334,000J/kg and the number of grams in a mole of a substance is its molecular weight. It is important to carry the units along with every number to ensure a valid calculation.
  • #1
physics_newbi
6
0
The Specific Entropy of Water is 69.9J/K.
What about ice?
i did a search on the internet but couldn't find anything
Please help
 
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  • #2
Hi physics_newbi, welcome to PF. The decrease in entropy when a liquid freezes is [itex]\frac{L}{T}[/itex], where L is the latent heat (J/kg) and T is the freezing temperature (K). This will help you approximate the entropy of ice near the freezing point.
 
  • #3
Mapes said:
Hi physics_newbi, welcome to PF. The decrease in entropy when a liquid freezes is [itex]\frac{L}{T}[/itex], where L is the latent heat (J/kg) and T is the freezing temperature (K). This will help you approximate the entropy of ice near the freezing point.

Thank you very much Mapes
here is a little calculation i did, can you please check if it's right
latent heat = 334(J/kg)
Temperature =273(K)
L/T = 1.22
and so the entropy of ice would be 69.91/1.22?
or would it be 69.91X1.22?
 
  • #4
1) Your latent heat is off by several orders of magnitude.
2) You need to subtract [itex]\frac{L}{T}[/itex] from the entropy of water at 0°C, which is actually 63.3 J/K-mol (you had the value at STP).
3) Some values are in kilograms and some are in moles, so you will want to convert everything to one or another.
 
  • #5
Mapes said:
1) Your latent heat is off by several orders of magnitude.
2) You need to subtract [itex]\frac{L}{T}[/itex] from the entropy of water at 0°C, which is actually 63.3 J/K-mol (you had the value at STP).
3) Some values are in kilograms and some are in moles, so you will want to convert everything to one or another.

1)Latent heat of fusion = 334,000J/kg
334000/273 = 1223
2)63.3-1223 = -1160J/K? is it possible? did i make a mistake somewhere?
3)how do you convert moles to kg?
thanks
 
  • #6
Try to carry the units along with every number. If the units don't match up, then the calculation is invalid. The calculation

[tex]63.3\,\frac{\mathrm{J}}{\mathrm{K}\cdot \mathrm{mol}} - 1223\,\frac{\mathrm{J}}{\mathrm{K}\cdot \mathrm{kg}} = \dots[/tex]

cannot give any meaningful answer.

The number of grams in a mole of a substance is its molecular weight.
 
  • #7
Mapes said:
Try to carry the units along with every number. If the units don't match up, then the calculation is invalid. The calculation

[tex]63.3\,\frac{\mathrm{J}}{\mathrm{K}\cdot \mathrm{mol}} - 1223\,\frac{\mathrm{J}}{\mathrm{K}\cdot \mathrm{kg}} = \dots[/tex]

cannot give any meaningful answer.

The number of grams in a mole of a substance is its molecular weight.

1223/18 = 67.97J/K
i think that should be the right answer.
thanks alot, i really appreciate it.
 
  • #8
That's not the right answer, because you didn't carry the units along with the numbers. Your answer has units (J-mol)/(K-kg-g); does that seem right to you?
 

1. What is specific entropy of ice?

The specific entropy of ice is a thermodynamic property that measures the amount of heat required to transform a unit mass of ice at a given temperature and pressure into water at the same temperature and pressure.

2. How is specific entropy of ice calculated?

The specific entropy of ice can be calculated using the following formula: S = Q/mT, where S is the specific entropy, Q is the heat transferred, m is the mass of the ice, and T is the temperature.

3. Why is specific entropy of ice important?

Specific entropy of ice is important because it helps to determine the amount of energy needed to melt ice and also plays a crucial role in various thermodynamic calculations and processes, such as refrigeration and phase transformations.

4. How does specific entropy of ice compare to other substances?

Compared to other substances, ice has a relatively low specific entropy. This means that it requires less energy to melt ice compared to other substances at the same temperature and pressure.

5. Can the specific entropy of ice change?

Yes, the specific entropy of ice can change depending on the temperature and pressure conditions. As the temperature and pressure increase, the specific entropy also increases, and vice versa.

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