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MMLU-Pro / 4269 / A manometer consists of a U-shaped tube containing a liquid. One side is…

Problem

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

question

A manometer consists of a U-shaped tube containing a liquid. One side is connected to the apparatus and the other is open to the atmosphere. The pressure inside the apparatus is then determined from the difference in heights of the liquid. Suppose the liquid is water, the external pressure is 770 Torr, and the open side is 10.0cm10.0 \mathrm{cm} lower than the side connected to the apparatus. What is the pressure in the apparatus? (The density of water at 25∘C25^{\circ} \mathrm{C} is 0.99707gcm−30.99707 \mathrm{g} \mathrm{cm}^{-3}.)
Plain-text mathematical notation (without MathML)
A manometer consists of a U-shaped tube containing a liquid. One side is connected to the apparatus and the other is open to the atmosphere. The pressure inside the apparatus is then determined from the difference in heights of the liquid. Suppose the liquid is water, the external pressure is 770 Torr, and the open side is 10.0cm lower than the side connected to the apparatus. What is the pressure in the apparatus? (The density of water at 25^(∘)C is 0.99707gcm^(−3).)
Original LaTeX notation
A manometer consists of a U-shaped tube containing a liquid. One side is connected to the apparatus and the other is open to the atmosphere. The pressure inside the apparatus is then determined from the difference in heights of the liquid. Suppose the liquid is water, the external pressure is 770 Torr, and the open side is $10.0 \mathrm{cm}$ lower than the side connected to the apparatus. What is the pressure in the apparatus? (The density of water at $25^{\circ} \mathrm{C}$ is $0.99707 \mathrm{g} \mathrm{cm}^{-3}$.)

category

chemistry

options

  1. 102$\mathrm{kPa}$
  2. 88 kPa
  3. 130 kPa
  4. 120 kPa
  5. 97 $\mathrm{kPa}$
  6. 115 $\mathrm{kPa}$
  7. 85 $\mathrm{kPa}$
  8. 110 kPa
  9. 92 kPa
  10. 105 kPa

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4269
task_id
5c88983e-ecc1-529c-8657-966fb5dd6b63
task_key
default--test--4269
task_revision_id
1
config / split
default / test

Official source

initial import