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MMLU-Pro / 9490 / One mole of H₂O(l) is compressed from a state described by…

Problem

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

question

One mole of H2O(l)\mathrm{H}_2 \mathrm{O}(l) is compressed from a state described by P=1.00P=1.00 bar and T=350T=350. K to a state described by P=590P=590. bar and T=750T=750. K. In addition, $\beta=2.07 \times 10^{-4} \mathrm{~K}^{-1}$ and the density can be assumed to be constant at the value $997 \mathrm{~kg} \mathrm{~m}^{-3}$. Calculate ΔS\Delta S for this transformation, assuming that κ=0\kappa=0.
Plain-text mathematical notation (without MathML)
One mole of H₂O(l) is compressed from a state described by P=1.00 bar and T=350. K to a state described by P=590. bar and T=750. K. In addition, $\beta=2.07 \times 10^{-4} \mathrm{~K}^{-1}$ and the density can be assumed to be constant at the value $997 \mathrm{~kg} \mathrm{~m}^{-3}$. Calculate ΔS for this transformation, assuming that κ=0.
Original LaTeX notation
One mole of $\mathrm{H}_2 \mathrm{O}(l)$ is compressed from a state described by $P=1.00$ bar and $T=350$. K to a state described by $P=590$. bar and $T=750$. K. In addition, $\beta=2.07 \times 10^{-4} \mathrm{~K}^{-1}$ and the density can be assumed to be constant at the value $997 \mathrm{~kg} \mathrm{~m}^{-3}$. Calculate $\Delta S$ for this transformation, assuming that $\kappa=0$.

category

physics

options

  1. 50.9 $\mathrm{~K}^{-1}$
  2. 53.7 J K^-1
  3. 69.0 J K^-1
  4. 60.1 J K^-1
  5. 64.3 $\mathrm{~K}^{-1}$
  6. 42.8 J K^-1
  7. 57.2 $\mathrm{~K}^{-1}$
  8. 75.3 J K^-1
  9. 71.5 $\mathrm{~K}^{-1}$
  10. 48.5 J K^-1

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
9490
task_id
34d8bbfd-c97f-5d34-bbdd-64bff22fb3f5
task_key
default--test--9490
task_revision_id
1
config / split
default / test

Official source

initial import