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MMLU-Pro / 3907 / 1.7(a) In an attempt to determine an accurate value of the gas constant, R, a…

Problem

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

question

1.7(a) In an attempt to determine an accurate value of the gas constant, RR, a student heated a container of volume 20.000dm320.000 \mathrm{dm}^3 filled with 0.25132g0.25132 \mathrm{g} of helium gas to 500∘C500^{\circ} \mathrm{C} and measured the pressure as 206.402cm206.402 \mathrm{cm} of water in a manometer at 25∘C25^{\circ} \mathrm{C}. Calculate the value of RR from these data. (The density of water at 25∘C25^{\circ} \mathrm{C} is 0.99707gcm−30.99707 \mathrm{g} \mathrm{cm}^{-3}; 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.)
Plain-text mathematical notation (without MathML)
1.7(a) In an attempt to determine an accurate value of the gas constant, R, a student heated a container of volume 20.000dm³ filled with 0.25132g of helium gas to 500^(∘)C and measured the pressure as 206.402cm of water in a manometer at 25^(∘)C. Calculate the value of R from these data. (The density of water at 25^(∘)C is 0.99707gcm^(−3); 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.)
Original LaTeX notation
1.7(a) In an attempt to determine an accurate value of the gas constant, $R$, a student heated a container of volume $20.000 \mathrm{dm}^3$ filled with $0.25132 \mathrm{g}$ of helium gas to $500^{\circ} \mathrm{C}$ and measured the pressure as $206.402 \mathrm{cm}$ of water in a manometer at $25^{\circ} \mathrm{C}$. Calculate the value of $R$ from these data. (The density of water at $25^{\circ} \mathrm{C}$ is $0.99707 \mathrm{g} \mathrm{cm}^{-3}$; 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.)

category

chemistry

options

  1. 7.2084$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  2. 7.9876$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  3. 8.8147$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  4. 8.2064$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  5. 8.5000$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  6. 8.9999$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  7. 9.0823$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  8. 7.3147$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  9. 8.3147$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$
  10. 9.3147$\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
3907
task_id
98b294b8-bdfd-587a-bbb0-92e2a8ba6dd7
task_key
default--test--3907
task_revision_id
1
config / split
default / test

Official source

initial import