Question 1

Which statement best describes a spontaneous process in thermodynamics?

Accepted Answer

A process that occurs without ongoing external energy input, regardless of its speed.

Question 2

Which equation defines entropy according to Boltzmann's equation?

Accepted Answer

$$S = k \ln W$$

Question 3

A diamond slowly converts to graphite at room temperature. Which statement is true?

Accepted Answer

The process is spontaneous but extremely slow due to kinetic barriers.

Question 4

Which of the following best distinguishes thermodynamics from kinetics?

Accepted Answer

Thermodynamics studies initial and final states to determine spontaneity; kinetics studies intermediate states to determine rate.

Question 5

Which process results in the greatest increase in entropy?

Accepted Answer

H$$_2O(l$$) $$\rightarrow H$_2O(g)$$

Question 6

For a spontaneous process, what must be true according to the Second Law of Thermodynamics?

Accepted Answer

$$\Delta S_{universe} \u003e 0$$

Question 7

Which scenario illustrates the concept of increasing entropy?

Accepted Answer

Gas molecules expanding to fill a vacuum.

Question 8

Given System A with $$W = 1$$ and System B with $$W = 2$$, which has greater entropy?

Accepted Answer

System B, because it has more microstates.

Question 9

Calculate the entropy change ($$\Delta S) $$for melting 1.00 mol of ice at 0$$^\circC$$ ($$\Delta H_{fus} = 6.02 kJ/$$mol).

Accepted Answer

$$\Delta S = +22.1 J/$$mol·K

Question 10

Which process is nonspontaneous at room temperature?

Accepted Answer

CO$$_2(g$$) $$\rightarrow CO$_2(s).$$

Question 11

Which formula is used to calculate the entropy change for a reversible phase transition?

Accepted Answer

$$\Delta S = \frac{q_{rev}}{T}$$

Question 12

Which statement about catalysts is correct?

Accepted Answer

A catalyst can speed up a spontaneous reaction but cannot change its spontaneity.

Question 13

Which of the following is true for a process at equilibrium?

Accepted Answer

$$\Delta S_{universe} = 0$$

Question 14

Which phase change results in a negative entropy change?

Accepted Answer

Gas $$\rightarrow$$ solid

Question 15

A process has $$\Delta S_{system}  0. $$What can be concluded?

Accepted Answer

The process is spontaneous.

Question 16

Which of the following best describes a reversible process?

Accepted Answer

A process that can be undone without leaving any net change in the system or surroundings.

Question 17

Which of the following is a real-world example of entropy increase?

Accepted Answer

Coffee cooling down in a room.

Question 18

Which statement about microstates is correct?

Accepted Answer

The equilibrium state is the macrostate with the greatest number of microstates.

Question 19

Which process is most likely to be spontaneous based on entropy considerations?

Accepted Answer

Expansion of a gas into a vacuum.

Question 20

Which of the following is NOT a consequence of the Second Law of Thermodynamics?

Accepted Answer

The entropy of the system must always increase for a spontaneous process.

Free Energy, Spontaneity, and Entropy: Foundations of Thermodynamics

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