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How might you explain the entropy production concept in terms a child would understand?

Short Answer

Expert verified
Entropy production is like the mess created when you continuously play with toys, making things more disorderly over time.

Step by step solution

01

Understand Entropy

Imagine you have a room full of toys, all neatly organized on shelves. Entropy is a way to measure how messy or disorganized things are in the room.
02

Natural Tendency

Over time, as you play with the toys, they get scattered all over the floor. This tendency of things to move from order to disorder is what entropy is all about.
03

Energy and Entropy

Think about how much energy it takes to clean up the toys and put them back on the shelves. This effort is like reducing entropy, but when you leave them and play, the toys get disorganized again, making the entropy increase.
04

Explaining Entropy Production

When you continuously play and scatter the toys, you're producing more mess, or in scientific terms, producing more entropy. The process of increasing disorder over time is called entropy production.

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Key Concepts

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

Understanding Thermodynamics
Thermodynamics is a branch of physics that studies how energy moves and changes in a system. One of the key ideas in thermodynamics is that energy cannot be created or destroyed, only transformed from one form to another.

Imagine cooking your favorite dish. You use the stove (heat energy) to cook the food (chemical energy). The energy changes form but doesn't disappear.
  • Energy Conservation: The total amount of energy always stays the same.
  • Systems: Everything interacting in a defined space, like ingredients in a pot.
  • Processes: How energy changes in the system, like cooking.


Physics uses thermodynamics to describe how heat and work affect matter and how systems become more or less ordered.
Understanding Entropy
Entropy is a measure of disorder or randomness in a system. It helps scientists understand how systems evolve over time.

Imagine you just finished organizing your room—everything is in its place. That's low entropy because it's orderly. But, as you play, things get messy, which means higher entropy.

Here's a simple way to understand entropy with key points:
  • Low Entropy: When things are neat and organized.
  • High Entropy: When things are scattered and chaotic.
  • Natural Tendency: Over time, systems naturally become more disordered (higher entropy).


For instance, a melting ice cube in a glass of water increases entropy because the structured ice (low entropy) turns into liquid water, which is more disordered (high entropy).
Energy and Entropy Relationship
Energy and entropy are closely related in thermodynamics. Controlling energy input and output affects the entropy of a system.

Think about cleaning your room. It requires energy to move from disorder (high entropy) to order (low entropy). But leaving your toys out increases the room’s disorder over time (entropy production).

Important points to remember:
  • Energy Input: Adding energy, like cleaning up, can decrease entropy locally.
  • Energy Output: Without energy, systems tend to become more random and disordered (higher entropy).
  • Entropy Production: Whenever you use energy, some of it always increases the total disorder of the universe.


Energy and entropy help us understand why certain processes happen and why others don’t. Like why ice melts in a warm room but doesn’t refreeze unless energy is removed.

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Most popular questions from this chapter

An isolated system of total mass \(m\) is formed by mixing two equal masses of the same liquid initially at the temperatures \(T_{1}\) and \(T_{2}\). Eventually, the system attains an equilibrium state. Each mass is incompressible with constant specific heat \(c\). (a) Show that the amount of entropy produced is $$ \sigma=m c \ln \left[\frac{T_{1}+T_{2}}{2\left(T_{1} T_{2}\right)^{1 / 2}}\right] $$ (b) Demonstrate that \(\sigma\) must be positive.

The theoretical steam rate is the quantity of steam required to produce a unit amount of work in an ideal turbine. The Theoretical Steam Rate Tables published by The American Society of Mechanical Engineers give the theoretical steam rate in lb per \(\mathrm{kW} \cdot \mathrm{h}\). To determine the actual steam rate, the theoretical steam rate is divided by the isentropic turbine efficiency. Why is the steam rate a significant quantity? Discuss how the steam rate is used in practice.

A cylindrical rod of length \(L\) insulated on its lateral surface is initially in contact at one end with a wall at temperature \(T_{\mathrm{H}}\) and at the other end with a wall at a lower temperature \(T_{\mathrm{C}}\). The temperature within the rod initially varies linearly with position \(z\) according to $$ T(z)=T_{\mathrm{H}}-\left(\frac{T_{\mathrm{H}}-T_{\mathrm{C}}}{L}\right) z $$ The rod is then insulated on its ends and eventually comes to a final equilibrium state where the temperature is \(T_{\mathrm{f}}\). Evaluate \(T_{\mathrm{f}}\) in terms of \(T_{\mathrm{H}}\) and \(T_{\mathrm{C}}\) and show that the amount of entropy produced is $$ \sigma=m c\left(1+\ln T_{\mathrm{f}}+\frac{T_{\mathrm{C}}}{T_{\mathrm{H}}-T_{\mathrm{C}}} \ln T_{\mathrm{C}}-\frac{T_{\mathrm{H}}}{T_{\mathrm{H}}-T_{\mathrm{C}}} \ln T_{\mathrm{H}}\right) $$ where \(c\) is the specific heat of the rod.

Answer the following true or false. If false, explain why. (a) The change of entropy of a closed system is the same for every process between two specified states. (b) The entropy of a fixed amount of an ideal gas increases in every isothermal compression. (c) The specific internal energy and enthalpy of an ideal gas are each functions of temperature alone but its specific entropy depends on two independent intensive properties. (d) One of the \(T d s\) equations has the form \(T d s=d u-p d v\). (e) The entropy of a fixed amount of an incompressible substance increases in every process in which temperature decreases.

Nitrogen \(\left(\mathrm{N}_{2}\right)\) at \(3.8 \mathrm{~atm}\) and \(170^{\circ} \mathrm{C}\) enters an insulated turbine operating at steady state and expands to \(1 \mathrm{~atm}\). If the isentropic turbine efficiency is \(83.2 \%\), determine the temperature at the turbine exit, in \({ }^{\circ} \mathrm{C}\), using the ideal gas model for the nitrogen and ignoring kinetic and potential energy changes.

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