Chapter 2: Problem 6
Suppose someone wants you to invest money in an automobile engine, claiming that it will produce more energy than is found in the fuel used to run it. What would be your response? Explain.
Short Answer
Expert verified
Such an engine would violate the law of conservation of energy, thus being impossible.
Step by step solution
01
Understanding the Question
Let's begin by analyzing the proposition. It claims that an automobile engine can produce more energy than is supplied in the form of fuel. This means the output energy exceeds the input energy.
02
Recalling the Law of Energy Conservation
The first law of thermodynamics, also known as the law of energy conservation, states that energy cannot be created or destroyed, only transformed from one form to another. Therefore, an engine that generates more energy than it consumes would violate this fundamental law.
03
Applying Thermodynamic Principles
In a practical system such as an automobile engine, some energy is always lost due to factors like friction and heat. Thus, output energy (useful work) is always less than or equal to the input energy due to inefficiencies.
04
Reasoned Conclusion
Since the proposal suggests an engine that produces more energy than it consumes, it essentially suggests a perpetual motion machine of the first kind, which is impossible according to current understanding of physics.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Law of Energy Conservation
The Law of Energy Conservation is a fundamental principle in physics that asserts energy cannot be created or destroyed. It can only change forms. This means that the total amount of energy in a closed system remains constant. For example, in an automobile engine, the chemical energy in fuel is converted into thermal energy and then into mechanical energy. Each transformation follows the conservation law.
This principle is observable in many real-life scenarios:
This principle is observable in many real-life scenarios:
- When cooking, energy from gas or electricity transforms into heat.
- In a light bulb, electrical energy changes to light and heat.
- In engines, fuel burns to release energy, driving mechanical work.
First Law of Thermodynamics
The First Law of Thermodynamics, often called the Law of Energy Conservation, articulates that the total energy of an isolated system is constant. This means energy can neither be created nor destroyed, only transformed or transferred. In thermodynamic processes, the internal energy change results from heat added to the system and work done by the system.
For any engine or mechanical device:
For any engine or mechanical device:
- The energy put into the system (in the form of fuel or heat) equals the energy output as work and remaining heat.
- This principle is reflected in the equation
, where is the change in internal energy, is heat added to the system, and is work done by the system. - This law underscores why claims of engines producing more energy than they consume violate physical laws.
Perpetual Motion
Perpetual motion refers to the hypothetical idea of a machine that can operate indefinitely without an energy source. This type of machine, contrary to the First Law of Thermodynamics, implies creating energy from nothing, violating the law of energy conservation.
There are two types of perpetual motion machines often discussed:
There are two types of perpetual motion machines often discussed:
- Perpetual Motion Machine of the First Kind: This type claims to produce energy, operating without any energy input, defying the First Law of Thermodynamics.
- Perpetual Motion Machine of the Second Kind: This theoretical machine would convert all absorbed energy into work, contravening the Second Law of Thermodynamics by allowing 100% efficiency.
Energy Transformation
Energy transformation is the process through which energy changes from one type to another, such as converting chemical energy in fuel into mechanical energy in an engine. Each step in transformation involves some loss, usually to heat, meaning not all input energy becomes useful work.
Common examples of energy transformation include:
Common examples of energy transformation include:
- In a car engine, chemical energy converts into thermal energy and then into kinetic energy.
- Solar panels transform sunlight (radiant energy) into electrical energy.
- Wind turbines change kinetic energy of wind into mechanical and then electrical energy.