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Provide me the evolution of the following question-

Question- An ideal Carnot engine operates between reservoirs having temperatures of 125°C and - 20°C. Each cycle the heat expelled by this engine is used to melt 30.0 g of ice at 0.00°C. The heat of fusion of water is 3.34 × 105 J/kg and the heat of vaporization of water is 2.25 × 106 J/kg.

Part A- How much work does this engine do each cycle?
Part B- How much heat per cycle does this engine absorb at the hot reservoir?

Guide me how can I solve the above question?

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