Chapter 31 Multiple choice questions

. A system comprises seven molecules. Calculate the number of possible configurations in the state {3,2,1,1}.

1

1.14

5040

420

. Calculate the molar residual entropy if a molecule AX₂Y₁ is planar with the X and Y groups arranged at 120°.

9.13 J K^-1 mol^-1

3.97 J K^-1 mol^-1

1.10 J K^-1 mol^-1

25.1 J K^-1 mol^-1

. Which of the following is a correct assumption behind the Boltzmann distribution?

All the particles have the same energy.

The particles follow a range of energies.

All the particles have the same kinetic energy.

All the particles travel have the same momentum.

. Consider eqn. (31.12)

K = \frac{N_{product}}{N_{reactant}} = \exp (- \frac{Δ E_{0}}{R T})

which describes the temperature dependence of an equilibrium constant K. Assuming ∆E₀ is negative, which of the following series of statements is correct?

The argument is negative.
The argument becomes smaller as T increases.
K decreases.

The argument is negative.
The argument becomes larger as T increases.
K increases.

The argument is positive.
The argument becomes bigger as T increases.
K increases.

The argument is positive.
The argument becomes smaller as T increases.
K decreases.

. This question concerns the Boltzmann distribution.
Which of the following statements is incorrect?

At the absolute zero of temperature, all real systems comprise particles having a range of energies.

The range of energies in a gas decreases as the gas is compressed.

The range of energies in a gas increases as the gas is cooled.

Above the absolute zero of temperature, all real systems comprise particles having a range of energies.

. Which of the following configurations has the highest weighting, w?

{4,0,0,0}

{1,2,1,0}

{3,1,0,0}

{2,2,0,0}

. Consider the equation for the hydrogen line 1s-orbital in Definition box 31.9. All of the radial parts start R = …
Which of the following statements is not true?

R gets smaller as s becomes smaller.

R increases about two-fold as z increases fourfold.

R becomes larger as z becomes larger.

R increases in proportion to s decreases.

. For molecular bromine in the gas phase, q^T = 7.23 · 10³¹, q^V = 3.05, q^R = 1481, and q^E = 1. What is the value of the overall partition function, q?

1.31 · 10³⁵

7.23 · 10³¹

1

1.38 · 10^-32

. What is the translational partition function q^T of gaseous diatomic chlorine Cl₂? The molar volume is 0.208 m³ at 298 K and the mass per molecule is 5.89 · 10^-26 kg.

5.10 · 10⁴⁸

1

9.91 · 10^-21

1.03 · 10²³

. Which of the following is not a statistical expression of a probability?

The amount of a radionuclide during its radioactive decay

The amount of free carboxylic acid in a buffer

The electrode potential of the Cu²⁺-Cu couple

The amount of nitrogen-15 in a biological sample

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