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Your process is going to have a couple of problems.

-- You'll never turn steam into ice by adding heat. That's like trying to

make a 3-ft board fit into a 2-ft space by gluing another piece onto it.

-- Without some pretty fancy pressurization equipment, it's going to be

pretty difficult to make any ice at 10° C.

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Q: How much heat is needed to condense 10 g of steam at 110 o C to ice at 10 o C?
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