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MMLU-Pro / 4107 / The densities of air at −85^(∘)C,0^(∘)C, and…

Problem

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

question

The densities of air at −85∘C,0∘C-85^{\circ} \mathrm{C}, 0^{\circ} \mathrm{C}, and 100∘C100^{\circ} \mathrm{C} are $1.877 \mathrm{~g} \mathrm{dm}^{-3}, 1.294 \mathrm{~g}$ dm−3\mathrm{dm}^{-3}, and $0.946 \mathrm{~g} \mathrm{dm}^{-3}$, respectively. From these data, and assuming that air obeys Charles's law, determine a value for the absolute zero of temperature in degrees Celsius.
Plain-text mathematical notation (without MathML)
The densities of air at −85^(∘)C,0^(∘)C, and 100^(∘)C are $1.877 \mathrm{~g} \mathrm{dm}^{-3}, 1.294 \mathrm{~g}$ dm^(−3), and $0.946 \mathrm{~g} \mathrm{dm}^{-3}$, respectively. From these data, and assuming that air obeys Charles's law, determine a value for the absolute zero of temperature in degrees Celsius.
Original LaTeX notation
The densities of air at $-85^{\circ} \mathrm{C}, 0^{\circ} \mathrm{C}$, and $100^{\circ} \mathrm{C}$ are $1.877 \mathrm{~g} \mathrm{dm}^{-3}, 1.294 \mathrm{~g}$ $\mathrm{dm}^{-3}$, and $0.946 \mathrm{~g} \mathrm{dm}^{-3}$, respectively. From these data, and assuming that air obeys Charles's law, determine a value for the absolute zero of temperature in degrees Celsius.

category

chemistry

options

  1. -325$^{\circ} \mathrm{C}$
  2. -400$^{\circ} \mathrm{C}$
  3. -200$^{\circ} \mathrm{C}$
  4. -250$^{\circ} \mathrm{C}$
  5. -100$^{\circ} \mathrm{C}$
  6. -180$^{\circ} \mathrm{C}$
  7. -273$^{\circ} \mathrm{C}$
  8. -300$^{\circ} \mathrm{C}$
  9. -225$^{\circ} \mathrm{C}$
  10. -150$^{\circ} \mathrm{C}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4107
task_id
0661bdb0-474c-53ce-8a88-5ba6650b385b
task_key
default--test--4107
task_revision_id
1
config / split
default / test

Official source

initial import