benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 11661 / A container with an air tight piston is at a pressure of 100psiaand a…

Problem

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

question

A container with an air tight piston is at a pressure of 100psiaand a temperature of 70°F. The piston moves up when 100 Btu of heat is transferred and the volume changes from 0.5 ft^3 to 2.0 ft^3. Assuming perfect gas behavior, calculate a) the change in internal energy, b) the final temperature and c) the heat capacity of the process.

category

engineering

options

  1. Change in internal energy: 80 Btu, Final temperature: 2000°F, Heat capacity: 0.20 Btu/°R
  2. Change in internal energy: 95 Btu, Final temperature: 1650°F, Heat capacity: 0.18 Btu/°R
  3. Change in internal energy: 60 Btu, Final temperature: 1550°F, Heat capacity: 0.15 Btu/°R
  4. Change in internal energy: 25 Btu, Final temperature: 1500°F, Heat capacity: 0.08 Btu/°R
  5. Change in internal energy: 72.2 Btu, Final temperature: 1660°F, Heat capacity: 0.0629 Btu/°R
  6. Change in internal energy: 110 Btu, Final temperature: 1900°F, Heat capacity: 0.30 Btu/°R
  7. Change in internal energy: 50 Btu, Final temperature: 1800°F, Heat capacity: 0.10 Btu/°R
  8. Change in internal energy: 100 Btu, Final temperature: 2120°F, Heat capacity: 0.50 Btu/°R
  9. Change in internal energy: 90 Btu, Final temperature: 1750°F, Heat capacity: 0.25 Btu/°R
  10. Change in internal energy: 40 Btu, Final temperature: 1400°F, Heat capacity: 0.12 Btu/°R

src

stemez-Thermodynamics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
11661
task_id
267b712e-261c-59f9-8052-9c11198b2f67
task_key
default--test--11661
task_revision_id
1
config / split
default / test

Official source

initial import