benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 4569 / The mean ionic activity coefficient of an electrolyte in a dilute solution is…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The mean ionic activity coefficient of an electrolyte in a dilute solution is given approximately by ln \gamma_\pm = - A\surd(m) where m is the molality and A is a constant. Using the Gibbs-Duhem equation find the activity coefficient \gamma_1 of the solvent in this dilute solution in terms of A, m, and constants characteristic of the solvent and solute. Ob-serve that ln X_1 = ln [(n_1) / (n_1 + mv)] = ln [(1) / {(1 + mv) / n_1}] \approx - [(mv) / (n_1)] where v is the number of ions in the formula (for example v = 2 for NaCl) and n_1 is the number of moles of solvent in 1000 g of solvent. All quantities except \gamma_1 , the un-known, can thus be expressed in terms of the variable m.

category

chemistry

options

  1. \gamma_1 = e[{(Av^2) / (3n_1)} m^3/2]
  2. \gamma_1 = e[{(Av^2) / (2n_1)} m^3/2]
  3. \gamma_1 = e[{(Av) / (3n_1)} m^3/2]
  4. \gamma_1 = e[{(Av) / (3n_1^2)} m^3/2]
  5. \gamma_1 = [{(Av) / (3n_1)} m^3/2]
  6. \gamma_1 = [{(Av^2) / (3n_1)} m^3/2]
  7. \gamma_1 = [{(A) / (n_1v)} m^3/2]
  8. \gamma_1 = e[{(A) / (2n_1v^2)} m^3/2]
  9. \gamma_1 = e[{(A) / (3n_1v)} m^3/2]
  10. \gamma_1 = [{(Av) / (2n_1)} m^3/2]

src

stemez-PhysicalChemistry

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
4569
task_id
aa6f47cd-89c6-54ba-a67a-e6387023c330
task_key
default--test--4569
task_revision_id
1
config / split
default / test

Official source

initial import