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MMLU-Pro / 9953 / A hydraulic press contains 0.25m³ (250 L) of oil. Find the decrease in the…

Problem

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

question

A hydraulic press contains 0.25m30.25 m^3 (250 L) of oil. Find the decrease in the volume of the oil when it is subjected to a pressure increase Δp=1.6×107Pa\Delta p=1.6 \times 10^7 Pa (about 160 atm or 2300 psi). The bulk modulus of the oil is B=5.0×109PaB=5.0 \times 10^9 Pa (about 5.0×104atm5.0 \times 10^4 atm) and its compressibility is k=1/B=20×10−6atm−1k=1 / B=20 \times 10^{-6} atm^{-1}. (Unit: 10^{-4} m^3)
Plain-text mathematical notation (without MathML)
A hydraulic press contains 0.25m³ (250 L) of oil. Find the decrease in the volume of the oil when it is subjected to a pressure increase  Δp=1.6×10⁷Pa (about 160 atm or 2300 psi). The bulk modulus of the oil is B=5.0×10⁹Pa (about 5.0×10⁴atm) and its compressibility is k=1/B=20×10^(−6)atm^(−1). (Unit: 10^{-4} m^3)
Original LaTeX notation
A hydraulic press contains $0.25 m^3$ (250 L) of oil. Find the decrease in the volume of the oil when it is subjected to a pressure increase  $\Delta p=1.6 \times 10^7 Pa$ (about 160 atm or 2300 psi). The bulk modulus of the oil is $B=5.0 \times 10^9 Pa$ (about $5.0 \times 10^4 atm$) and its compressibility is $k=1 / B=20 \times 10^{-6} atm^{-1}$. (Unit: 10^{-4} m^3)

category

physics

options

  1. -1.5
  2. -0.2
  3. -1.0
  4. -2.0
  5. -1.2
  6. -0.8
  7. -0.6
  8. -0.3
  9. -1.7
  10. -0.5

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
9953
task_id
9ea9872b-cceb-5a0b-bb2e-9d118f200b1b
task_key
default--test--9953
task_revision_id
1
config / split
default / test

Official source

initial import