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MMLU-Pro / 4470 / The activity coefficient …

Problem

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question

The activity coefficient \gamma_2 (on the mole fraction scale) of the solutein a certain dilute solution is given by \gamma_2 = e_2^(AX)2, whereA is a constant at constanttempera-ture. Obtain an expressionin terms of A and X_2 for the activity coefficient \gamma_1 (onthe mole fraction scale) of the solvent in this solution.

category

chemistry

options

  1. A(1 - X_1^2)
  2. 2A(X)1\int_1 [(1 / X_1) - 2 + X_1]dX_1
  3. 2A\int[(X_2 / X_1) - (1 / X_1^2)]dX_1
  4. 2A[lnX_1 - 2(X_1 - 1) + (1/2)(X_2^2 - 1)]
  5. e^(AX_1)^2
  6. ln(1 - X_1) + X_1 + (1/2)X_1^2
  7. 2A[(1 / X_1) - 2 + X_1]dX_1
  8. 1 - e^(-AX_2)^2
  9. 2A[(1 / X_2) - 2 + X_2]dX_2
  10. ln(1 - X_2) + X_2 + (1/2)X_2^2

src

stemez-PhysicalChemistry

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Source and history

upstream_id / Original problem ID
4470
task_id
6b4f4a48-4322-57e4-b202-55775cfbfa26
task_key
default--test--4470
task_revision_id
1
config / split
default / test

Official source

initial import