Calculate Heat of Melting Ice at 10 atm - Derive Equations & Assumptions

In summary, the heat of melting of ice at 1 atm and 0 degrees c is +5.9176kj/mol, with a density of 0.917g/cm^3 for ice and 0.9998g/cm^3 for water. To determine the melting point at 10 atm, we can use the equation dp/dt=(s2-s1)/(v2-v1) and derive necessary equations and make necessary assumptions. There may be a relationship between s (entropy), h (enthalpy), and Tm (melting point), which would allow us to express \Delta s (change in entropy) in terms of \Delta h (change in enthalpy). Further calculations can then be made to
  • #1
glenL
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0
The heat of melting of ice at 1 atm and 0 degree c is +5.9176kj/mol. The density of ice under these conditions is 0.917g/cm^3 and the density fo water is 0.9998g/cm^3



What will the melting point be at 10 atm? Derive necessary equations and make necessary asumptions.



DeltaH and deltaS can be easily calculated, but i was thinking that dp/dt=(s2-s1)/(v2-v1). however i don't know if the formula is correct and how to apply to this problem. Thank you.
 
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  • #2
This is a good start. Is there a relationship between s, h, and Tm, so that you can express [itex]\Delta s[/itex] in terms of [itex]\Delta h[/itex]?
 

1. How do you calculate the heat of melting ice at 10 atm?

To calculate the heat of melting ice at 10 atm, you can use the equation Q = mH, where Q is the heat of melting, m is the mass of the ice, and H is the latent heat of fusion. You will also need to take into account the pressure, as it affects the melting point of ice. This can be done using the Clausius-Clapeyron equation, which relates the melting point to pressure and the enthalpy of fusion.

2. What are the assumptions made when deriving the equations for calculating heat of melting ice at 10 atm?

Some of the assumptions made when deriving the equations for calculating heat of melting ice at 10 atm include assuming that the ice is in thermodynamic equilibrium, neglecting any heat transfer from the surroundings, and assuming that the pressure is constant throughout the melting process.

3. Can the equations for calculating heat of melting ice at 10 atm be applied to other substances?

Yes, the equations for calculating heat of melting ice at 10 atm can be applied to other substances as well. However, the values for the latent heat of fusion and melting point will differ for each substance, so they will need to be adjusted accordingly.

4. How does the pressure affect the melting point of ice?

The melting point of ice is affected by pressure because an increase in pressure leads to a decrease in the melting point. This is due to the fact that pressure suppresses the formation of ice crystals, making it more difficult for the molecules to arrange themselves into a solid structure.

5. What are some practical applications of calculating heat of melting ice at 10 atm?

Calculating the heat of melting ice at 10 atm has practical applications in various fields such as thermodynamics, material science, and engineering. It can be used to understand the behavior of different substances under high pressures, as well as in the design and development of products that involve phase changes, such as refrigerators and air conditioners.

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