Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rank the elements or compounds in the table below in decreasing order o…

Question

rank the elements or compounds in the table below in decreasing order of their boiling points. that is, choose 1 next to the substance with the highest boiling point, choose 2 next to the substance with the next highest boiling point, and so on.
table columns: substance (a: f₂, b: lewis structure (h-c-c-o-c-h with o double bond), c: lewis structure (n≡n-o with o lone pairs), d: lewis structure (h-c-c-n-c-h with o double bond and n lone pairs)), chemical symbol/formula/lewis structure, boiling point (select dropdowns: a has f₂, b has h-c-c-o-c-h structure, c has n≡n-o structure, d has h-c-c-n-c-h structure)

Explanation:

Response

To solve the problem of ranking the substances (F₂, B, C, D) by boiling point, we analyze the intermolecular forces (IMFs) present in each:

Step 1: Identify IMFs for each substance
  • Substance A (\( \boldsymbol{\ce{F2}} \)): Nonpolar diatomic molecule. Only London dispersion forces (LDF) (weakest IMF).
  • Substance B: Contains a carbonyl (\( \ce{C=O} \)) and ether (\( \ce{C-O-C} \)) group. Polar molecule (due to electronegative O), so it has dipole-dipole interactions (stronger than LDF) and LDF.
  • Substance C: Contains a triple bond (\( \ce{N≡N} \)) and a polar \( \ce{N-O} \) bond. Polar molecule, so dipole-dipole interactions and LDF. Also, \( \ce{N≡N} \) is nonpolar, but the \( \ce{N-O} \) bond creates polarity.
  • Substance D: Contains a carbonyl (\( \ce{C=O} \)) and an amine (\( \ce{C-N} \)) group with a lone pair on N. Polar molecule, and the N atom can form hydrogen bonds (strongest IMF, since H is bonded to N, and O is electronegative) + dipole-dipole + LDF.
Step 2: Relate IMFs to boiling point

Boiling point is determined by IMF strength:

  • Hydrogen bonding (D) > Dipole-dipole (B, C) > London dispersion (A).

Now compare B and C (both dipole-dipole):

  • Substance B: Formula is \( \ce{CH3COOCH3} \) (ethyl acetate, molar mass ~74 g/mol).
  • Substance C: Formula is \( \ce{N2O} \) (nitrous oxide, molar mass ~44 g/mol).

LDF strength increases with molar mass (more electrons, larger electron cloud). Since B has a higher molar mass than C, B has stronger LDF (in addition to dipole-dipole) than C.

Step 3: Final ranking (highest to lowest boiling point)
  1. D (hydrogen bonding + dipole-dipole + LDF)
  2. B (dipole-dipole + LDF, higher molar mass than C)
  3. C (dipole-dipole + LDF, lower molar mass than B)
  4. A (\( \ce{F2} \), only LDF)

Answer:

  1. D
  2. B
  3. C
  4. A

(If selecting the next highest after D, choose B; after B, choose C; after C, choose A.)