4. Consider a heat engine comprising two isochores and two isobars, as in the diagram below. Suppose vertices 2 and 4 are connected by an isotherm of temperature To, while the temperatures at vertices 1 and 3 are T₁ and T3, respectively. Compute the efficiency of this cycle.
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- The water vapor is initially at 700 KN / m2 with a 0.05 drought fraction through a reversible process that looks like a half circle when depicted on a temperature-entropy diagram. The final pressure is 100KN / m2 and the final temperature is the same as the initial temperature at 700KN / m2. During the process the maximum temperature is 230 degrees Celsius. For this process specify: A. The process is transferred per kg of water vapor B. Work done per kg of water vaporThe first three problemsQ8
- Question B2i. Give an equation for the infinitesimal change in entropy, ??, of a system in terms of the heat transfer ??? and the temperature ? at which the heat transfer occurs. Explain the sign convention. ii. A litre of water at 20 °C is placed in a fridge at 5 °C. Calculate the change in entropy of the water, including the sign, once all the water has come into thermal equilibrium. iii. Calculate the change in entropy of the fridge from part ii, including the sign. iv. Demonstrate that the Second Law has been obeyed in the process described in ii and iii.How much heat energy is needed to change the entropy of a macrostate from 10.00 J/K to 10.01 J/K in a quasi-static process at a temperature of 30 K? Express your answer with the appropriate units. Q30: = Submit Part B Q300= Submit Part C 0 ¤-| |μÅ How much heat energy is needed to change the entropy of a macrostate from 10.00 J/K to 10.01 J/K in a quasi-static process at a temperature of 300 K? Express your answer with the appropriate units. Q3000 Value = Request Answer 0 Value Request Answer Units How much heat energy is needed to change the entropy of a macrostate from 10.00 J/K to 10.01 J/K in a quasi-static process at a temperature of 3000 K? Express your answer with the appropriate units. 0 PHμÅ Value 2) ? Units UnitsA heat engine operating at steady state delivers a power output of 17 hp. The engine receives energy by heat transfer in the amount of Qh = 33 kJ during each cycle of operation from a high temperature thermal reservoir at Th = 870 K. The system is executing 50 cycles per minute. Determine the amount of work that is delivered during each cycle in kilojoules. Determine the actual efficiency at which the system is operating. Assuming this engine is as efficient as possible, what would the temperature, in degrees celsius, of the colder reservoir be?
- 6. A heat engine consists of the cycle p shown for 3 moles of an ideal 2p monatomic gas. It starts at point 1 with pressure p and volume V; it goes via an isochoric (constant 1 volume) process from point 1 to 3 point 2 until the pressure doubles; it then goes from point 2 to point 3 via an adiabatic process; finally it goes V from point 3 to point 1 via an isothermal process. А. I What is the volume of the gas at point 3? Express your answer in terms of V (the volume of the gas at point 1). В. What are W12, W23, and W31? Express your answer in terms of p, V. 2.heat pump operates on a Carnot cycle between the cool exterior of a house and the warminterior. When the exterior temperature is 2.0 °C and the interior temperature is 20.0 °C.a) What is the coefficient of performance for the heat pump?b) The heat pump delivers 63 MJ of energy to the interior of the house. How much energy input isrequired in the form of work?A heat engine provides a net power output of 14 kW and has an efficiency of 23 %. The engine rejects 1200 J of energy per cycle to a low temperature reservoir. a)Determine the amount of heat delivered to the engine from the high temperature reservoir per second. Your answer should be in units of Watts. b)Determine the required number of cycles per minute executed.
- #2. Suppose 2.35 moles of an ideal gas expands to twice its volume isothermally at 298 K. A) How much work is done by the gas? B) Show the work done on a pressure-volume (P-V) graph C) What is the change in entropy of the gas?A Carnot heat engine operates with an efficiency η=0.5 between a hot reservoir at temperature T1 and a cold reservoir at temperature T2=300 K. Calculate the temperature T1 of the hot reservoir. Select one: a.T1=150.0 b.T1=300.0 c.T1=900.0 d.T1=600.0What is the Carnot efficiency of a heat engine operating between the temperatures of 10 C and 100C? Include Units .