Clearly draw a Carnot heat engine cycle and clearly label the following: a) The condenser b) The evaporator c) The high-temperature reservoir and state whether it is the combustion chamber of a coal-fired power plant or a nearby lake d) The low-temperature reservoir and state whether it is the combustion chamber of a coal-fired power plant or a nearby lake e) The direction of the high-temperature heat transfer f) The direction of the low-temperature heat transfer g) The turbine h) The pump

Fill in the blanks An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 oC and rejects heat to a room at 24.0 oC. Suppose that 85.0 kg of water at 0.0 oC are converted to ice at 0.0 oC. How much energy (in Joules) must be supplied to the machine to achieve this task? Solution: Since the machine is a operating in a Carnot cycle, then, its efficiency is e =  ___________- |_________ /  TH| By virtue of first law, the work done to convert water to ice is given by W = Q = _______________________ Thus, the total energy needed to convert 85 kg of water is ET = __________________687.5 J

1 mole of monatomic ideal gas initially at a volume of 2 L and a pressure of 10 atm is processed through a cycle where it first expands isothermally and reversibly to a final pressure of 2.5 atm, is then reversibly and isochorically cooled to a final temperature of 97.32 K, and then is reversibly and adiabatically compressed back to the initial state. 1. Determine the total work for the cycle 2. Determine change in internal energy for the cycle

Heat flows into 1kg of ice at 0°C, melting it, then warming the liquid up to 100°C, then boiling the liquid to vapor. 1) How much heat does it take to melt 1kg of ice, starting at 0°C? Q= Submit 2) How much does the entropy increase when the ice melts? Sliquid-Sice= J/K Submit 3) How much does the entropy increase when the 100°C water boils? J/K Submit 4) For the liquid water, the specific heat is 4184 J/kg-K, nearly constant over the 0°C to 100°C range. How much does the entropy increase in the warming from 0°C to 100°C? J/K Submit Help 5) By how much does the dimensionless entropy, S/k, increase per molecule of ice as it melts. Use 0.018 kg/mole as the molecular weight. Submit

Problem #8 In one cycle of an engine, 1.80 kJ of energy is absorbed from a hot reservoir at 280°C, and 1.15 kJ of energy is expelled to a cold reservoir at 25.0°C. a) How much work (in J) is done by the engine in each cycle? b) What is the engine's efficiency? c) How does this compare to the Carnot Efficiency?