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Chapter 5: Problem 3

Describe a process that would satisfy the conservation of energy principle, but does not actually occur in nature.

Short Answer

Expert verified
A hypothetical perpetual motion machine of the first kind complies with the conservation of energy but does not occur in nature.

Step by step solution

01

Understand the Conservation of Energy

The conservation of energy principle states that in an isolated system, energy can neither be created nor destroyed. It can only be transformed from one form to another. The total amount of energy remains constant.
02

Consider Unlikely Natural Processes

Think of processes that are theoretically possible based on the conservation of energy but are not observed in nature. These are hypothetical processes that do not occur naturally but do not violate the conservation of energy.
03

Example of Hypothetical Process

One such process could be a perpetual motion machine of the first kind. This machine would continuously convert mechanical energy into work without any energy input. According to the conservation of energy, this process would violate the first law of thermodynamics, but if it did not, it would theoretically comply with the conservation principle by transforming energy forms.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

First Law of Thermodynamics
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. This means the total energy of an isolated system remains constant. For instance, when you heat water on a stove, chemical energy from the fuel is converted into thermal energy, heating the water.
It's essential to understand that the first law applies universally and ensures that all energy changes within a system can be accounted for.
So, any process that respects this law must have a balance between the energy entering and leaving the system, ensuring no energy 'disappears' or spontaneously 'appears'.
Perpetual Motion Machine
A perpetual motion machine is a hypothetical device that can work indefinitely without an energy source. Specifically, a perpetual motion machine of the first kind claims to produce work continuously without any energy input.
Such a machine would defy the first law of thermodynamics because it would create energy from nothing. Practically, this violates the Conservation of Energy principle, making perpetual motion machines impossible in nature.
Imagine a wheel spinning forever without slowing down or any fuel. While it sounds fascinating, it contradicts fundamental thermodynamics principles, as all practical systems have energy losses, usually in the form of heat due to friction.
Energy Transformation
Energy transformation is the process of converting one form of energy into another. This is a vital concept in understanding how energy flows in physical systems.
Examples include:
  • Chemical energy in food being transformed into mechanical energy when you move
  • Solar panels converting sunlight (radiant energy) into electrical energy
  • A car engine converting chemical energy in fuel into kinetic energy to move the vehicle
In all these examples, the total amount of energy remains the same before and after the transformation, consistent with the conservation of energy principle.
Understanding how energy transforms helps explain the operation and limitations of different systems and underscores the importance of efficient energy use to minimize waste and maximize energy potential.

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Most popular questions from this chapter

An inventor claims to have developed a power cycle operating between hot and cold reservoirs at \(2000 \mathrm{~K}\) and \(500 \mathrm{~K}\), respectively, that develops net work equal to a multiple of the amount of energy, \(Q_{C}\) rejected to the cold reservoir \(-\) that is \(W_{\text {cycle }}=N Q_{c}\), where all quantities are positive. What is the maximum theoretical value of the number \(\mathrm{N}\) for any such cycle?

At steady state, a reversible refrigeration cycle operates between hot and cold reservoirs at \(300 \mathrm{~K}\) and \(270 \mathrm{~K}\), respectively. Determine the minimum theoretical net power input required, in \(\mathrm{kW}\) per \(\mathrm{kW}\) of heat transfer from the cold reservoir.

If a window air conditioner were placed on a table in a room and operated, would the room temperature increase, decrease, or remain the same? Explain.

Is it possible for the coefficient of performance of a refrigeration cycle to be less than \(1 ?\) To be greater than \(1 ?\) Answer the same questions for a heat pump cycle.

At steady state, a power cycle having a thermal efficiency of \(38 \%\) generates \(100 \mathrm{MW}\) of electricity while discharging energy by heat transfer to cooling water at an average temperature of \(21^{\circ} \mathrm{C}\). The average temperature of the steam passing through the boiler is \(480^{\circ} \mathrm{C}\). Determine (a) the rate at which energy is discharged to the cooling water, in \(\mathrm{kJ} / \mathrm{h}\). (b) the minimum theoretical rate at which energy could be discharged to the cooling water, in \(\mathrm{kJ} / \mathrm{h}\). Compare with the actual rate and discuss.
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