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I understand that the term "work" is used mainly for the transfer of mechanical energy. So, perhaps, the more appropriate term here would be "energy".

You would have to find the material's thermal inertia, in this case, its volumetric heat capacity - look it up, usually, or calculate it on the basis of its specific heat, which you would look up instead. Once you have that, just multiply the volume x the desired difference in temperature.

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Q: What is the formula to determine the work done in heating or cooling unit volume of a substance?
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