You are given a beaker of water. What can you do to increase its entropy? What can you do to decrease its entropy?

Short Answer

Expert verified
Answer: To increase the entropy of a beaker of water, one can either increase its temperature or mix it with a solute. To decrease its entropy, one can either decrease its temperature or separate solutes from the water.

Step by step solution

01

Understanding Entropy

Entropy is a thermodynamic property that measures the degree of disorder or randomness in a system. It can be defined as the number of ways energy can be distributed among different particles in the system. In general, an increase in entropy leads to a more disordered or random system while a decrease leads to a more ordered or less random system.
02

Factors That Increase Entropy

There are two main factors that can increase entropy in a beaker of water: 1. Increasing the temperature: Adding heat to the water increases its temperature, making its molecules move faster and occupying more space due to the increased kinetic energy. This increased motion of molecules leads to a more disordered or random state, thus increasing entropy. 2. Adding solutes and mixing: Mixing water with a solute such as salt or sugar increases the number of particles in the solution and, as a result, increases the number of possible configurations and disorder in the system which, in turn, increases entropy.
03

Factors That Decrease Entropy

There are two main factors that can decrease entropy in a beaker of water: 1. Decreasing the temperature: Removing heat from the water decreases its temperature, reducing the motion of water molecules, and reducing the disorder or randomness in the system. This directly leads to decreased entropy. Eventually, if the temperature is decreased enough, the water will turn into ice, which is a more ordered and less random state compared to liquid water. 2. Separating solutes: Removing the solutes by separating them from water, such as using a filtration system or evaporation method, will reduce the number of particles in the water, resulting in decreased entropy as there are fewer configurations and less disorder in the system. In summary, to increase the entropy of a beaker of water, one can either increase its temperature or mix it with a solute. To decrease its entropy, one can either decrease its temperature or separate solutes from the water.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

It is desired to build a heat pump that has an output temperature of \(23^{\circ} \mathrm{C}\). Calculate the maximum coefficient of performance for the pump when the input source is (a) outdoor air on a cold winter day at \(-10.0^{\circ} \mathrm{C}\) and \((\mathrm{b})\) ground water at \(9.0^{\circ} \mathrm{C}\).

Suppose an atom of volume \(V_{\mathrm{A}}\) is inside a container of volume \(V\). The atom can occupy any position within this volume. For this simple model, the number of states available to the atom is given by \(V / V_{A}\). Now suppose the same atom is inside a container of volume \(2 V .\) What will be the change in entropy?

A certain refrigerator is rated as being \(32.0 \%\) as ef ficient as a Carnot refrigerator. To remove \(100 .\) J of heat from the interior at \(0^{\circ} \mathrm{C}\) and eject it to the outside at \(22^{\circ} \mathrm{C}\), how much work must the refrigerator motor do?

A refrigerator with a coefficient of performance of 3.80 is used to \(\operatorname{cool} 2.00 \mathrm{~L}\) of mineral water from room temperature \(\left(25.0^{\circ} \mathrm{C}\right)\) to \(4.00^{\circ} \mathrm{C} .\) If the refrigerator uses \(480 . \mathrm{W}\) how long will it take the water to reach \(4.00^{\circ} \mathrm{C}\) ? Recall that the heat capacity of water is \(4.19 \mathrm{~kJ} /(\mathrm{kg} \mathrm{K}),\) and the density of water is \(1.00 \mathrm{~g} / \mathrm{cm}^{3}\). Assume the other contents of the refrig. erator are already at \(4.00^{\circ} \mathrm{C}\).

The entropy of a macroscopic state is given by \(S=k_{B} \ln w\) where \(k_{\mathrm{B}}\) is the Boltzmann constant and \(w\) is the number of possible microscopic states. Calculate the change in entropy when \(n\) moles of an ideal gas undergo free expansion to fill the entire volume of a box after a barrier between the two halves of the box is removed.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free