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What are the characteristics of all heat engines?

Short Answer

Expert verified
Answer: The main characteristics of a heat engine are their efficiency, which is the ratio of the work output to the heat input. The Carnot Cycle serves as the theoretical model operating at maximum possible efficiency. They also require a working fluid, typically a gas or a liquid, that undergoes a thermodynamic process within the engine. Heat engines operate in a cyclic manner, repeating specific cycles of operation to produce mechanical work. Lastly, they require two thermal reservoirs, a hot and cold one, between which the engine exchanges heat energy.

Step by step solution

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1. Understanding Heat Engines

A heat engine is a device that converts heat energy into mechanical work. It operates in a cyclical process. The source of heat energy is typically an external combustion chamber where fuel is burned and the heat is transferred to a working fluid (like a gas or liquid). This fluid expands and contracts within the engine, moving mechanical components, which in turn perform useful work. The heat engine then expels the remaining waste heat into a cold reservoir, usually the surrounding environment.
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2. Characteristic: Efficiency

One important characteristic of all heat engines is their efficiency. In a heat engine, efficiency is defined as the ratio of the work output to the heat input. Unfortunately, no heat engine can have 100% efficiency, because some energy is always lost as waste heat during the engine's operation. The more efficient an engine is, the more work it outputs for the same amount of input heat.
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3. Characteristic: Carnot Cycle

The Carnot Cycle is a theoretical, idealized model for a heat engine operating at maximum possible efficiency. It is an ideal cycle consisting of four reversible processes: two adiabatic (isentropic) processes and two isothermal processes. This cycle is not practically achievable, but it sets a theoretical limit on the efficiency of any heat engine, which can be determined by the following equation: Efficiency (Carnot) = 1 - \frac{T_{cold}}{T_{hot}} where T_hot and T_cold are the temperatures of the hot and cold reservoirs, respectively, both in absolute units (e.g. Kelvin).
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4. Characteristic: Working Fluid

All heat engines require a working fluid, a substance that undergoes a thermodynamic process within the engine. In most instances, the working fluid is a gas or a liquid. The fluid takes on thermal energy from the hot reservoir and expands, exerting pressure on the pistons or turbines, and then releases the waste heat to the cold reservoir before contracting again.
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5. Characteristic: Cyclic Process

Heat engines operate in a cyclic manner, meaning that they continuously repeat specific cycles of operation to produce mechanical work. Once a cycle is complete, the engine returns to its initial state, and the process starts over again. Some well-known cycles include the Otto, Diesel, and Rankine cycles.
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6. Characteristic: Thermal Reservoirs

Heat engines require the existence of two thermal reservoirs, a hot (high-temperature) reservoir and a cold (low-temperature) reservoir. The engine extracts heat energy from the hot reservoir and converts part of it into work, while the remaining heat energy is expelled into the cold reservoir. This exchange of energy between reservoirs is a fundamental aspect of heat engine operation.

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Most popular questions from this chapter

A heat pump with a COP of 3.2 is used to heat a perfectly sealed house (no air leaks). The entire mass within the house (air, furniture, etc.) is equivalent to \(1200 \mathrm{kg}\) of air. When running, the heat pump consumes electric power at a rate of \(5 \mathrm{kW}\). The temperature of the house was \(7^{\circ} \mathrm{C}\) when the heat pump was turned on. If heat transfer through the envelope of the house (walls, roof, etc.) is negligible, the length of time the heat pump must run to raise the temperature of the entire contents of the house to \(22^{\circ} \mathrm{C}\) is (a) \(13.5 \mathrm{min}\) (b) \(43.1 \mathrm{min}\) \((c) 138 \min\) \((d) 18.8 \mathrm{min}\) \((e) 808 \mathrm{min}\)

Cold water at \(10^{\circ} \mathrm{C}\) enters a water heater at the rate of \(0.02 \mathrm{m}^{3} / \mathrm{min}\) and leaves the water heater at \(50^{\circ} \mathrm{C}\). The water heater receives heat from a heat pump that receives heat from a heat source at \(0^{\circ} \mathrm{C}\). (a) Assuming the water to be an incompressible liquid that does not change phase during heat addition, determine the rate of heat supplied to the water, in \(\mathrm{kJ} / \mathrm{s}\) (b) Assuming the water heater acts as a heat sink having an average temperature of \(30^{\circ} \mathrm{C}\), determine the minimum power supplied to the heat pump, in \(\mathrm{kW}\)

It is commonly recommended that hot foods be cooled first to room temperature by simply waiting a while before they are put into the refrigerator to save energy. Despite this commonsense recommendation, a person keeps cooking a large pan of stew three times a week and putting the pan into the refrigerator while it is still hot, thinking that the money saved is probably too little. But he says he can be convinced if you can show that the money saved is significant. The average mass of the pan and its contents is 5 kg. The average temperature of the kitchen is \(23^{\circ} \mathrm{C},\) and the average temperature of the food is \(95^{\circ} \mathrm{C}\) when it is taken off the stove. The refrigerated space is maintained at \(3^{\circ} \mathrm{C}\), and the average specific heat of the food and the pan can be taken to be \(3.9 \mathrm{kJ} / \mathrm{kg} \cdot^{\circ} \mathrm{C} .\) If the refrigerator has a coefficient of performance of 1.5 and the cost of electricity is 10 cents per \(\mathrm{kWh}\) determine how much this person will save a year by waiting

Somebody claims to have developed a new reversible heat-engine cycle that has the same theoretical efficiency as the Carnot cycle operating between the same temperature limits. Is this a reasonable claim?

What are the two statements known as the Carnot principles?

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