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MMLU-Pro / 3897 / A mixture of water and ethanol is prepared with a mole fraction of water of 0.60…

Problem

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

question

A mixture of water and ethanol is prepared with a mole fraction of water of 0.60 . If a small change in the mixture composition results in an increase in the chemical potential of water by $0.25 \mathrm{~J} \mathrm{~mol}^{-1}$, by how much will the chemical potential of ethanol change?
Plain-text mathematical notation (without MathML)
A mixture of water and ethanol is prepared with a mole fraction of water of 0.60 . If a small change in the mixture composition results in an increase in the chemical potential of water by $0.25 \mathrm{~J} \mathrm{~mol}^{-1}$, by how much will the chemical potential of ethanol change?
Original LaTeX notation
A mixture of water and ethanol is prepared with a mole fraction of water of 0.60 . If a small change in the mixture composition results in an increase in the chemical potential of water by $0.25 \mathrm{~J} \mathrm{~mol}^{-1}$, by how much will the chemical potential of ethanol change?

category

chemistry

options

  1. 0.15 $\mathrm{~J} \mathrm{~mol}^{-1}$
  2. -0.15 $\mathrm{~J} \mathrm{~mol}^{-1}$
  3. 0.60 $\mathrm{~J} \mathrm{~mol}^{-1}$
  4. 0.25 $\mathrm{~J} \mathrm{~mol}^{-1}$
  5. -0.25 $\mathrm{~J} \mathrm{~mol}^{-1}$
  6. 0.38 $\mathrm{~J} \mathrm{~mol}^{-1}$
  7. -0.20 $\mathrm{~J} \mathrm{~mol}^{-1}$
  8. -0.75 $\mathrm{~J} \mathrm{~mol}^{-1}$
  9. -0.38 $\mathrm{~J} \mathrm{~mol}^{-1}$
  10. -0.60 $\mathrm{~J} \mathrm{~mol}^{-1}$

src

scibench-matter

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Source and history

upstream_id / Original problem ID
3897
task_id
3e590882-f601-5db1-9a31-e0c4e6bafe4f
task_key
default--test--3897
task_revision_id
1
config / split
default / test

Official source

initial import