A hypothetical engine, with an ideal gas as the working substance, operates in the cycle shown in Figure 4-17. Show that the efficiency of the engine is P1 e 4-17 3300 n=1– 11-P3/P₁ Y 1-V₁/V3 1 Q1 2 Adiabat V₁ 3 2 V3 V
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- Four moles of an ideal diatomic gas change its volume from 2 m3 to 4 m3. The initial temperature of the gas is 400 K. Determine the work done by the gas and its entropy change for isothermal expansion adiabatic expansionAn engine is design to run at 72% of Carnot engine efficiency with high and low temperature of 798 K and 293 K. The engine’s lower reservoir is at 8510 J. What is the work that can be delivered by the engine?In one cycle a heat engine absorbs 460 J from a high-temperature reservoir and expels 310 J to a low-temperature reservoir. If the efficiency of this engine is 55% of the efficiency of a Carnot engine, what is the ratio of the low temperature to the high temperature in the Carnot engine? Tlow/ Thigh = ?
- A Carnot heat engine operates between tc=252 k and the=466k What is its efficiency?A Carnot engine has a power output of 110 kW. The engine operates between two reservoirs at 20°C and 550°C. (a) How much energy enters the engine by heat per hour? MJ (b) How much energy is exhausted by heat per hour? MJIf one mole of an ideal gas (Cp,m = 5R/2) is expanded isothermally at 300 K until it’s volume tripled, what is the change in entropy of the gas? 5/2 R ln3 3/2 R ln 3 Zero R ln 3
- Combustion gases enter an adiabatic gas turbine at 1540F and 120 psia and leave at 60 psia with a low velocity. Treating the combustion gases as air and assuming an isentropic efficiency of 82 percent, determine the work output of the turbine.One mole of an ideal gas is used as the working substance of an engine operating in the cycle shown in the figure below. BC and DA processes are reversible adiabatic.a) Is the gas monoatomic, diatomic or triatomic?b) What is the efficiency and engine?A Carnot engine operates between reservoirs at 600 and 300 K. If the engine absorbs 100 J per cycle at the hot reservoir, what is its work output per cycle?
- What is the thermal efficiency of a Carnot cycle operating between 52oC and 352oC? 84% 56% 48% 15% none of the listed values. 73%Safiya tried to store a tray of ice cubes in a freezer at a room temperature of 32°C. By assuming the freezer has a theoretical efficiency of 60%, predict either the ice cubes could remain frozen in the freezer or not. Justify your answer.(a) What is the hot reservoir temperature (in degrees C) of a Carnot engine that has an efficiency of 40.0% and a cold reservoir temperature of 32.5°C ? °C (b) What must the hot reservoir temperature (in degrees C) be for a real heat engine that achieves 0.750 of the maximum efficiency, but still has an efficiency of 40.0% (and a cold reservoir at 32.5°C )? °C