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MMLU-Pro / 12196 / A liquid is compressed isothermally inside a chamber. Obtain an expression for…

Problem

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

question

A liquid is compressed isothermally inside a chamber. Obtain an expression for the total amount of work required if the compression process isquasistaticand is given by the equation In (V / V_0) = - A(p - p_0) where A, V_0 and p_0 are constants.

category

engineering

options

  1. W = (AV_0) (1 / p_2 - 1 / p_1)
  2. W = (A / V_0) (p_1 - p_2)
  3. W = (A / V_0) ln(p_2 / p_1)
  4. W= (AV / 2) (p_2^2 - p_1^2)
  5. W = -A ln(V / V_0) (p_2 - p_1)
  6. W= - (AV / 2) (p_1^2 - p_2^2)
  7. W = A(V_0 / V) (p_2 - p_1)
  8. W= - (AV / 2) (p_2^2 - p_1^2)
  9. W = A(V_0 + V) (p_2 - p_1)

src

stemez-Thermodynamics

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Source and history

upstream_id / Original problem ID
12196
task_id
fe84e8f4-2f58-57fc-85a1-207dea14cac8
task_key
default--test--12196
task_revision_id
1
config / split
default / test

Official source

initial import