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Data? SHC??? Water has a specific heat capacity over TEN TIMES that of copper (Water: 4180 J/(kg*K) , Copper: 390 J/(kg*K) src: http://yesican.yorku.ca/home/sh_table.html ) . SHC is irrelevant to continuous cooling systems anyway.
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Maybe. Think about how much coolant actually comes into contact compared to how much you pump. Only a small fraction probably. The rest is indirect- though other molecules. At 4.186 j/gK, you need a good deal of contact to cool a 100w CPU. Not saying this is impossible, just that specific heat capacity is probably a lot more important then usual due to the tiny surface area.
Its here that copper has the advantage at almost 400w/m*k; you can have a huge surface area to meet the coolant.