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They want to know the fraction of liquid that evaporates, not any absolute amount, you don't need a certain value for m. Pick your own values for m and run the math a couple of times, it should give you the same answers.
Since the liquid will evaporate until enough energy is carried off to cool the liquid to saturation temperature, Tf is going to be less than or equal to saturation temperature for Pf. I say "less than" only because To is significantly below Tsat for Po... pressure will have to drop to <40bar before evaporation starts.
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Simple Machines in Higher Dimensions
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