I How to find the change in volume of a solid to a liquid

AI Thread Summary
The discussion revolves around calculating the change in volume when granite transitions from solid to liquid. The user has calculated the density of solid granite but realizes that this value will not apply to molten granite due to differences in density. They seek a general equation or ratio to estimate the volume change during this phase transition, as specific data is scarce. Experimentation is suggested as a potential method to obtain the necessary information, but the user feels it may be too ambitious for their project. Ultimately, they are looking for guidance on how to proceed with their calculations without conducting experiments.
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TL;DR Summary
I need help finding the density of a liquid substance based on its original density as a solid. I believe I could acquire this from the change in volume during the solid to liquid phase. In my example, I used a specific composition of granite, and broke it down into its compound and elemental mass contributions.
Greetings. This is my first post here. I hope I can get some assistance for my problem.

Context​

Just to preface, this is just for a hobby and not any kind of homework or professional problem. With that said, I have been writing calculation step-by-step guides on phase changes in an effort to teach myself the methods. In my chemical composition guide, I use granite that is composed of 60% orthoclase, 30% quartz, 5% hornblende, and 5% biotite. From this, the density and mass contribution fractions of these mineral compounds were used to calculate the density of solid granite (~2.617 g/cm3) which I had planned to apply universally in the different phase changes.

Problem​

Provided I can find the specific heat capacities of each element in their solid state, I believe proceeding from here with finding the energy to melt granite is easy enough. However, where I faltered is I did not consider that the density of granite would not be persistent in vaporization due to the change in volume a solid to a liquid undergoes. The value I acquired is strictly for granite in its solid form, not liquid/molten granite. So if I wished to continue on from here, I would have to obtain the liquid density of the mineral compounds.

Help​

Because information that is usually this specific is not available online, I would like to inquire if there is a seamless way to calculate the change in volume of a solid to a liquid. It would not have to be exact, but rather, just a general rule of thumb equation, like a ratio, would be sufficient for my guide. However, if such a method is non-existent, I would greatly appreciate some pointers in the right direction. Also, since my example is rather specific, I can elaborate on it if needed.
 
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Have you considered doing it experimentally?
 
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Chestermiller said:
Have you considered doing it experimentally?
I had not. That would probably be too ambitious for the scope of my small project. Especially for a layman like myself who is now only scratching the surface of these concepts, or at least that is how I view myself. My goal was to rely on preexisting data to solve for the [phase change] energies of granite mathematically. Do you think experimentation on my end is the only path to finding the answer I need?
 
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