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1. An ideal gas operates in a Carnot cycle so. that it produces a net positive work of 400joules per cycle. The maximum temperature during the cycle is 300 °C and the heat lost to a low temperature bath is 600 joules per cycle.
a) What must be the temperature of the low temperature bath?
b) What is the change in entropy of the gas during the isothermal expansion?
2. 10 grams of ice at 0°C are mixed with 100 grams of water at 30°C. What is the final temperature of the mixture?
3. 200 grams of ice at -20°C are added to 500 grams of water at +80°C. Assuming that no heat is lost from the ice+water system, compute how much ice remains at equilibrium.
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