Clausius Clapeyron Equation of lead

[bon]

Homework Statement

When lead is melted at atmospheric pressure the melting point is 327.0 degrees C, the density decreases from 1.101 x 10^4 to 1.065 x 10^4 kg/m^3 and the latent heat is 24.5 kJ/kg. Estimate the melting point of lead at a pressure of 100 atm.

Homework Equations

The Attempt at a Solution

Ok So i know how to get the right answer - which i think is 600.754 K as follows:

Clausius-C equation: dp/dT = L/T delta (V)

so i just say that delta p = L/T delta V delta T

Substituting in the values, I get the right answer..

My question is - why is this a valid move? surely it assumes L/T(deltaV) to be constant? Must it be?

 

[Mapes]

Yes, it's assumed that this factor is constant. This is something you'd have to verify to make sure the calculation is accurate.