Calculate melting point of ice under pressure

[Pete_01]

Homework Statement

The density of solid water is approximately 920 kg m^-3 and that of liquid water is 1000 kg m^-3. Calculate the melting point of ice under a pressure of 6000 kPa.

Homework Equations

This is my problem. How do I approach this? I don't see any relevant equations in my textbook.

The Attempt at a Solution

See 2.

 

[Borek]

Clausius–Clapeyron relation perhaps?

 

[Pete_01]

Clausius–Clapeyron relation perhaps?

Not really. That has to do with pressure, but how does the density fit in?

 

[Borek]

Use it to calculate volume change.

 

[Pete_01]

Use it to calculate volume change.

--
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I'm not following. Use the density to calculate volume change? Or use the Calpeyron equation to calcululate it? The equation I have found so far is:

delta(ln p) = delta_vapH/RT^2 * delta T

Is this correct? Thanks

 

[Borek]

No, this is version for evaporation, you need version for melting. Use given densities to calculate volume change.

See wikipedia article on Clausius–Clapeyron relation.

 

[Pete_01]

No, this is version for evaporation, you need version for melting. Use given densities to calculate volume change.

See wikipedia article on Clausius–Clapeyron relation.

So, like their example at the bottom of the page...

and then rearrange and solve for deltaT and I get -0.4438K which doesn't mke much sense?

 

[Borek]

What is delta T?

 

[Pete_01]

What is delta T?

Change in temperature (melting temp).

 

[Borek]

And what was delta T you calculated?

 

[Pete_01]

And what was delta T you calculated?

Ok, so it would be: melting point water - (-0.4438K) for a final melting point?

 

[Borek]

That would sound logical.

 

[Pete_01]

That would sound logical.

Awesome! Thanks, I appreciate the help!

 

[carlosfred_22]

i have something like it:

The densities of ice and liquid water at 1atm (101,325KPa) and 0oC are
917Kg/m3 and 999,8Kg/m3, respectively. The heat of fusion of water is 334720J/Kg.
Calculate the melting point of ice at 0,5atm (50,662KPa) and 101atm (10,2338MPa).

i don't know how i find "delta"H

 

[Borek]

What IS delta H?