Introduction to Entropy

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AP Chemistry › Introduction to Entropy

Questions 1 - 10
1

At 1 atm, liquid nitrogen, N$_2$(l), warms and boils to form N$_2$(g) in an open container. Considering the nitrogen as the system during boiling (liquid to gas), does entropy increase, decrease, or remain approximately constant?

Entropy decreases because the temperature increases during warming.

Entropy remains approximately constant because nitrogen remains N$_2$.

Entropy increases because gas particles are more dispersed than liquid particles.

Entropy remains approximately constant because the pressure is constant at 1 atm.

Entropy decreases because boiling requires energy input.

Explanation

This question tests entropy during boiling at constant pressure. Boiling N₂(l) to N₂(g) disperses molecules from liquid to gas, increasing entropy due to greater freedom. The open container and 1 atm facilitate the phase change. Warming does not decrease entropy here. A tempting distractor is choice B, which claims entropy remains constant because it's still N₂, but this misconceives that unchanged formula prevents entropy changes, disregarding phase differences. In boiling, highlight the entropy gain from gaseous expansion.

2

Molten (liquid) sodium chloride is cooled until it solidifies to NaCl(s) in a closed crucible. Considering only the phase change from liquid to solid for the system, does entropy increase, decrease, or remain approximately constant?

Entropy remains approximately constant because the ions remain Na$^+$ and Cl$^-$.

Entropy increases because the temperature decreases.

Entropy remains approximately constant because the crucible is closed.

Entropy decreases because the solid crystal lattice is more ordered than the liquid.

Entropy increases because solidification releases heat.

Explanation

This question tests entropy in solidification of molten salts. Cooling molten NaCl to solid organizes ions into a crystal lattice, reducing disorder and entropy. The phase change from liquid to solid dominates the entropy decrease. The closed crucible focuses on the system's phase transition. A tempting distractor is choice A, which claims entropy remains constant because ions are unchanged, but this misconceives that constant composition means constant entropy, ignoring phase order differences. For solidification, compare the fluidity of liquids to the rigidity of solids.

3

Solid ammonium nitrate, NH$_4$NO$_3$(s), is dissolved in water in a beaker, producing a noticeably colder solution. Considering the system (solute + solvent) as it goes from separate solid and liquid to a homogeneous aqueous solution, does entropy increase, decrease, or remain approximately constant?

Entropy increases because dissolving and mixing disperse ions throughout the solution.

Entropy decreases because the temperature of the solution decreases.

Entropy remains approximately constant because the process is endothermic.

Entropy decreases because hydration forms attractions that reduce randomness.

Entropy remains approximately constant because no gas is formed.

Explanation

This question tests entropy in endothermic dissolution processes. Dissolving NH₄NO₃(s) in water disperses ions throughout the solution, increasing randomness despite the cooling effect. The entropy increase arises from breaking the solid lattice and mixing with solvent molecules. The temperature drop does not override the dispersal gain. A tempting distractor is choice D, which states entropy decreases due to hydration reducing randomness, but this misconceives that local ordering dominates over global dispersal in solutions. When analyzing dissolution, weigh the entropy of mixing against any ordering from solvation.

4

A student opens a container of perfume in a corner of a room. Over time, the perfume molecules spread throughout the room air. Considering the perfume molecules as the system, does entropy increase, decrease, or remain approximately constant?

Entropy remains approximately constant because the temperature of the room is constant.

Entropy decreases because diffusion is exothermic.

Entropy remains approximately constant because no new substances form.

Entropy increases because the molecules become more dispersed throughout the room.

Entropy decreases because the perfume concentration decreases.

Explanation

This question assesses entropy changes due to diffusion of molecules in a gas phase. Opening the perfume container allows its molecules to spread from a concentrated area to disperse throughout the room air, increasing their randomness and accessible microstates. This diffusion process results in an entropy increase for the perfume molecules as the system. The room's constant temperature supports the spontaneous nature of this dispersal. A tempting distractor is choice C, which suggests entropy remains constant because room temperature is constant, but this misconceives that isothermal conditions prevent entropy increases, overlooking diffusion's role in enhancing disorder. In diffusion scenarios, think about how spreading molecules over larger volumes inherently increases entropy.

5

A sealed flask contains a mixture of N$_2$(g) and O$_2$(g) separated by a removable partition, both gases at the same temperature and pressure. The partition is removed and the gases mix uniformly. For the gases (the system), does entropy increase, decrease, or remain approximately constant?

Entropy decreases because the process is not a chemical reaction.

Entropy increases because mixing increases the number of accessible microstates.

Entropy decreases because mixing reduces the partial pressure of each gas.

Entropy remains approximately constant because total pressure is unchanged.

Entropy remains approximately constant because N$_2$ and O$_2$ are both diatomic.

Explanation

This question probes entropy changes upon mixing ideal gases. Removing the partition allows N₂ and O₂ to mix uniformly, increasing the dispersal of each gas throughout the entire volume and creating more possible arrangements. This mixing process, known as entropy of mixing, results in an overall entropy increase for the system at constant temperature and pressure. The gases do not react, so the change is purely physical. A tempting distractor is choice A, which claims entropy remains constant because total pressure is unchanged, but this misconceives that constant total pressure implies no entropy change, disregarding the role of mixing in increasing disorder. For gas mixing, consider how combining components increases configurational entropy through greater particle arrangements.

6

At constant temperature, a student releases a small amount of dye into still water. Over time, the dye spreads evenly throughout the water. Considering the dye molecules as the system, does entropy increase, decrease, or remain approximately constant?

Entropy increases because the dye becomes more dispersed throughout the water.

Entropy remains approximately constant because the amount of dye is unchanged.

Entropy remains approximately constant because the temperature of the water is constant.

Entropy decreases because diffusion does not involve a chemical reaction.

Entropy decreases because the dye becomes less concentrated.

Explanation

This question tests entropy changes in diffusion within liquids. Releasing dye into water allows it to spread evenly, increasing molecular dispersal and entropy. The constant temperature supports this spontaneous process. No reaction occurs, but diffusion enhances disorder. A tempting distractor is choice E, which suggests entropy remains constant because dye amount is unchanged, but this misconceives that constant mass means constant entropy, overlooking spatial distribution. In diffusion, consider how uniform spreading increases possible microstates.

7

At 1 atm, a sample of ethanol is cooled from 25°C to its freezing point and then frozen to form solid ethanol. Considering only the phase change from liquid to solid for the system, does entropy increase, decrease, or remain approximately constant?

Entropy increases because the temperature decreases.

Entropy remains approximately constant because pressure is constant.

Entropy remains approximately constant because the chemical formula does not change.

Entropy increases because freezing releases heat to the surroundings.

Entropy decreases because particles become more ordered in the solid.

Explanation

This question examines entropy variations during freezing, a liquid-to-solid phase change. Cooling ethanol to its freezing point and solidifying it organizes the molecules into a rigid crystal lattice, reducing their freedom of motion and dispersal. This transition to a more ordered state decreases the entropy of the system. The constant pressure of 1 atm does not alter the fundamental entropy decrease associated with freezing. A tempting distractor is choice C, which suggests entropy remains constant because the chemical formula is unchanged, but this misconceives that phase changes do not affect entropy, ignoring the order difference between liquids and solids. When analyzing phase changes, compare the molecular disorder in the initial and final states to determine entropy direction.

8

In a closed, rigid container at constant temperature, NH$_3$(g) reacts with HCl(g) to form solid NH$_4$Cl(s) that deposits on the container walls. Considering the reacting chemicals as the system, does entropy increase, decrease, or remain approximately constant from initial to final state?

Entropy remains approximately constant because the container is rigid.

Entropy remains approximately constant because the temperature is constant.

Entropy increases because a solid forms from gases.

Entropy increases because the reaction releases heat.

Entropy decreases because two gases form a solid, reducing particle dispersal.

Explanation

This question evaluates entropy in chemical reactions involving phase changes from gas to solid. The reaction of NH₃(g) and HCl(g) to form NH₄Cl(s) reduces two moles of gas to a solid, decreasing particle dispersal and the number of microstates. This net reduction in gaseous species leads to an entropy decrease for the system from initial to final state. The rigid container and constant temperature emphasize the phase and mole change effects. A tempting distractor is choice E, which claims entropy remains constant because temperature is constant, but this misconceives that isothermal reactions have no entropy change, ignoring the impact of fewer gas molecules. For reactions, calculate entropy trends by comparing the number and phases of reactants and products.

9

At constant temperature, 1.0 mol of Ar(g) in a piston expands reversibly from 1.0 L to 3.0 L. For the argon gas (the system), does entropy increase, decrease, or remain approximately constant?

Entropy remains approximately constant because argon is monatomic.

Entropy decreases because the pressure decreases during expansion.

Entropy remains approximately constant because no phase change occurs.

Entropy increases because the gas occupies a larger volume and is more dispersed.

Entropy decreases because expansion is endothermic for the gas.

Explanation

This question tests entropy changes in reversible gas expansion. The reversible expansion of Ar(g) from 1.0 L to 3.0 L at constant temperature increases the volume available to the gas molecules, enhancing their dispersal and the number of microstates. This leads to an entropy increase for the system. The monatomic nature of argon does not alter this fundamental principle. A tempting distractor is choice D, which claims entropy remains constant because no phase change occurs, but this misconceives that only phase changes affect entropy, ignoring volume effects on gases. For gas expansions, assess entropy by considering how larger volumes allow greater randomness.

10

At constant pressure, a sample of liquid ethanol is heated until it boils and becomes ethanol vapor. Considering only the ethanol (system), how does entropy change during vaporization?

Entropy decreases because intermolecular forces are overcome and particles separate.

Entropy decreases because boiling requires energy input, which creates order.

Entropy increases because the particles move more freely in the gas phase than in the liquid phase.

Entropy remains approximately constant because the temperature stays at the boiling point during the phase change.

Entropy remains approximately constant because the pressure is held constant throughout.

Explanation

This question tests the understanding of entropy changes during vaporization at constant pressure. The stimulus describes liquid ethanol being heated to boil and become vapor, transitioning from liquid to gas phase. Entropy increases because in the gas phase, ethanol molecules have greater freedom of motion, higher kinetic energy, and more accessible microstates than in the more constrained liquid phase. This is supported by the positive ΔS_vap values for substances, reflecting the disorder increase upon overcoming intermolecular forces. A tempting distractor is choice C, which incorrectly claims entropy remains constant because temperature is constant at the boiling point, misconstruing isothermal conditions with no change in microstates and ignoring the phase transition's effect. For entropy evaluations in phase changes, assess how breaking intermolecular interactions allows for greater particle independence in the vapor phase.

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