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MMLU-Pro / 4001 / A diving bell has an air space of 3.0m³ when on the deck of a boat.…

Problem

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

question

A diving bell has an air space of 3.0m33.0 \mathrm{m}^3 when on the deck of a boat. What is the volume of the air space when the bell has been lowered to a depth of 50m50 \mathrm{m}? Take the mean density of sea water to be 1.025gcm−31.025 \mathrm{g} \mathrm{cm}^{-3} and assume that the temperature is the same as on the surface.
Plain-text mathematical notation (without MathML)
A diving bell has an air space of 3.0m³ when on the deck of a boat. What is the volume of the air space when the bell has been lowered to a depth of 50m? Take the mean density of sea water to be 1.025gcm^(−3) and assume that the temperature is the same as on the surface.
Original LaTeX notation
A diving bell has an air space of $3.0 \mathrm{m}^3$ when on the deck of a boat. What is the volume of the air space when the bell has been lowered to a depth of $50 \mathrm{m}$? Take the mean density of sea water to be $1.025 \mathrm{g} \mathrm{cm}^{-3}$ and assume that the temperature is the same as on the surface.

category

chemistry

options

  1. 0.8 $\text{m}^3$
  2. 2.0 $\text{m}^3$
  3. 2.8 $\text{m}^3$
  4. 3.5 $\text{m}^3$
  5. 4.0 $\text{m}^3$
  6. 1.2 $\text{m}^3$
  7. 2.5 $\text{m}^3$
  8. 0.5$\text{m}^3$
  9. 1.0 $\text{m}^3$
  10. 1.5 $\text{m}^3$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4001
task_id
b7dfe645-9f2d-5f25-ac2b-5609f30d7079
task_key
default--test--4001
task_revision_id
1
config / split
default / test

Official source

initial import