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

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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.

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Most popular questions from this chapter

Suppose a person metabolizes \(2000 .\) kcal/day. a) With a core body temperature of \(37.0^{\circ} \mathrm{C}\) and an ambient temperature of \(20.0^{\circ} \mathrm{C}\), what is the maximum (Carnot) efficiency with which the person can perform work? b) If the person could work with that efficiency, at what rate, in watts, would they have to shed waste heat to the surroundings? c) With a skin area of \(1.50 \mathrm{~m}^{2}\), a skin temperature of \(27.0^{\circ} \mathrm{C}\) and an effective emissivity of \(e=0.600,\) at what net rate does this person radiate heat to the \(20.0^{\circ} \mathrm{C}\) surroundings? d) The rest of the waste heat must be removed by evaporating water, either as perspiration or from the lungs At body temperature, the latent heat of vaporization of water is \(575 \mathrm{cal} / \mathrm{g}\). At what rate, in grams per hour, does this person lose water? e) Estimate the rate at which the person gains entropy. Assume that all the required evaporation of water takes place in the lungs, at the core body temperature of \(37.0^{\circ} \mathrm{C}\).

What is the minimum amount of work that must be done to extract \(500.0 \mathrm{~J}\) of heat from a massive object at a temperature of \(27.0^{\circ} \mathrm{C}\) while releasing heat to a high temperature reservoir with a temperature of \(100.0^{\circ} \mathrm{C} ?\)

An outboard motor for a boat is cooled by lake water at \(15.0^{\circ} \mathrm{C}\) and has a compression ratio of \(10.0 .\) Assume that the air is a diatomic gas. a) Calculate the efficiency of the engine's Otto cycle. b) Using your answer to part (a) and the fact that the efficiency of the Carnot cycle is greater than that of the Otto cycle, estimate the maximum temperature of the engine.

A key feature of thermodynamics is the fact that the internal energy, \(E_{\text {int }}\) of a system and its entropy, \(S\), are state variables; that is, they depend only on the thermodynamic state of the system and not on the processes by which it reached that state (unlike, for example, the heat content, \(Q\) ). This means that the differentials \(d E_{\text {int }}=T d S-p d V\) and \(d S=\) \(T^{-1} d E_{\text {int }}+p T^{-1} d V,\) where \(T\) is temperature (in kelvins), \(p\) is pressure, and \(V\) is volume, are exact differentials as defined in calculus. What relationships follow from this fact?

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