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Which of the following processes is/are spontaneous? a. A hurricane forms. b. A corpse decomposes. c. You get an \(A\) in this course. d. Ice cream melts on a hot summer day.

Short Answer

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a) A hurricane forms b) A corpse decomposes c) You get an A in this course d) Ice cream melts on a hot summer day Answer: a, b, d

Step by step solution

01

Option a: A hurricane forms

Hurricanes form naturally due to the interactions between warm and cold air masses over the ocean. This process takes place without any human intervention and is considered to be spontaneous.
02

Option b: A corpse decomposes

The decomposition of a corpse is a natural process that takes place without any external input. Bacteria and other microorganisms break down the tissues and other organic matter, releasing energy and increasing the entropy of the system. Decomposition is a spontaneous process.
03

Option c: You get an A in this course

Getting an A in a course requires effort and the ability to demonstrate knowledge, skills, and understanding of the subject matter. This process is not spontaneous, since it does not happen without direct involvement and action by the student.
04

Option d: Ice cream melts on a hot summer day

Melting of ice cream on a hot summer day is a natural process that involves an increase in entropy. The ice cream absorbs heat from the surrounding environment and changes from a solid to a liquid state. This process takes place without any external aid or intervention and is considered spontaneous.
05

Conclusion

Based on the analysis of the four given processes, options a (A hurricane forms), b (A corpse decomposes), and d (Ice cream melts on a hot summer day) are considered to be spontaneous processes, whereas option c (You get an A in this course) is not.

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Key Concepts

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

Thermodynamics
Thermodynamics is a branch of physics that studies how energy is transferred within systems and how this affects matter. It is grounded in four fundamental laws which describe the conservation of energy and the increase in entropy.

In the context of the given exercise, thermodynamics explains why certain processes occur without any energy input from outside the system. For example, the formation of a hurricane involves the transfer of energy within the atmospheric system, naturally driven by temperature differentials between different air masses. Similarly, the melting of ice cream is attributed to heat transfer from the hot air to the colder ice cream, making it a spontaneous event under thermodynamic laws.
Entropy
Entropy is a measure of the disorder or randomness of the particles that make up a system. In thermodynamics, the second law states that the total entropy of an isolated system can never decrease over time.

Applying this concept to the exercise, the decomposition of a corpse leads to an increase in entropy as the defined structure of the body breaks down into more chaotic and randomized components. This is a spontaneous process because it aligns with the natural tendency of entropy to increase. Conversely, getting an A in a course would involve decreasing entropy by organizing knowledge in your mind, which is not a naturally spontaneous process.
Chemical Kinetics
Chemical kinetics is the study of the rate at which chemical reactions occur and the factors that affect these rates. It's not just about whether a reaction is spontaneous, as determined by thermodynamics, but how quickly it happens in real-time.

When a corpse decomposes, chemical kinetics explains the rate at which the biological tissues break down. Temperature, enzyme activity, and microbial actions are among the factors that influence the rate of decomposition. Similarly, for a hurricane to form, the rate at which warm and cool air interact is crucial for its development.
Laws of Thermodynamics
The laws of thermodynamics are a series of principles that govern the flow and balance of energy in the universe.

First Law - Conservation of Energy

This law states that energy cannot be created or destroyed, only transformed from one form to another. For instance, the energy within a hurricane is not created but transformed from thermal energy into kinetic energy.

Second Law - Entropy

As mentioned earlier, this law states that entropy tends to increase, which drives the spontaneous processes observed in the melting of ice cream and the decomposition of a corpse.

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Most popular questions from this chapter

In glycolysis, the hydrolysis of ATP to ADP drives the phosphorylation of glucose: $$\begin{array}{l}\text { Glucose }+\mathrm{ATP} \rightleftharpoons \mathrm{ADP}+\text { glucose } 6 \text { -phosphate } \\\\\qquad \Delta G_{\mathrm{rm}}^{\circ}=-17.7 \mathrm{kJ}\end{array}$$ What is the value of \(K_{c}\) for this reaction at \(298 \mathrm{K} ?\)

Melting DNA When a solution of DNA in water is heated, the DNA double helix separates into two single strands: 1 DNA double helix \(\rightleftharpoons 2\) single strands a. What is the sign of \(\Delta S\) for the forward process as written? b. The DNA double helix reforms as the system cools. What is the sign of \(\Delta S\) for the process by which two single strands reform the double helix? c. The melting point of DNA is defined as the temperature at which \(\Delta G=0 .\) At that temperature, the forward reaction produces two single strands as fast as two single strands recombine to form the double helix. Write an equation that defines the melting temperature (T) of DNA in terms of \(\Delta H\) and \(\Delta S\).

If a gas-phase reaction mixture contains 1 mole of each reactant and product and has a 1: 1 stoichiometry, is the \(\Delta G_{\text {ran }}^{\circ}\) of the reaction mixture the same as \(\Delta H_{\mathrm{rm}}^{\circ}\) ? Explain why or why not.

What is the entropy change to the surroundings when a small decorative ice sculpture at a temperature of \(0^{\circ} \mathrm{C}\) and weighing 456 g melts on a granite tabletop, if the temperature of the granite is \(12^{\circ} \mathrm{C}\) and the process occurs reversibly? Assume a final temperature for the water of \(0^{\circ} \mathrm{C}\). The heat of fusion of ice is \(6.01 \mathrm{kJ} / \mathrm{mol} .\)

If a reaction mixture contains only reactants and no products, will the reaction proceed in the forward direction even if \(\Delta G^{\circ}>0 ?\) Explain why or why not.

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