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MMLU-Pro / 10004 / Consider the transition between two forms of solid tin, Sn(s, gray …

Problem

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

question

Consider the transition between two forms of solid tin, Sn(s\mathrm{Sn}(s, gray )→Sn(s) \rightarrow \mathrm{Sn}(s, white )). The two phases are in equilibrium at 1 bar and 18∘C18^{\circ} \mathrm{C}. The densities for gray and white tin are 5750 and $7280 \mathrm{~kg} \mathrm{~m}^{-3}$, respectively, and the molar entropies for gray and white tin are 44.14 and $51.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, respectively. Calculate the temperature at which the two phases are in equilibrium at 350. bar.
Plain-text mathematical notation (without MathML)
 Consider the transition between two forms of solid tin, Sn(s, gray )→Sn(s, white ). The two phases are in equilibrium at 1 bar and 18^(∘)C. The densities for gray and white tin are 5750 and $7280 \mathrm{~kg} \mathrm{~m}^{-3}$, respectively, and the molar entropies for gray and white tin are 44.14 and $51.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, respectively. Calculate the temperature at which the two phases are in equilibrium at 350. bar.
Original LaTeX notation
 Consider the transition between two forms of solid tin, $\mathrm{Sn}(s$, gray $) \rightarrow \mathrm{Sn}(s$, white $)$. The two phases are in equilibrium at 1 bar and $18^{\circ} \mathrm{C}$. The densities for gray and white tin are 5750 and $7280 \mathrm{~kg} \mathrm{~m}^{-3}$, respectively, and the molar entropies for gray and white tin are 44.14 and $51.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, respectively. Calculate the temperature at which the two phases are in equilibrium at 350. bar.

category

physics

options

  1. 5.2 $^{\circ} \mathrm{C}$
  2. -7.8 $^{\circ} \mathrm{C}$
  3. -3.5 $^{\circ} \mathrm{C}$
  4. 0.0 $^{\circ} \mathrm{C}$
  5. 21.4 $^{\circ} \mathrm{C}$
  6. -10.0 $^{\circ} \mathrm{C}$
  7. 10.0 $^{\circ} \mathrm{C}$
  8. -15.2 $^{\circ} \mathrm{C}$
  9. -25.0 $^{\circ} \mathrm{C}$
  10. 13.7 $^{\circ} \mathrm{C}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
10004
task_id
048068f9-5e37-5f0e-ad18-29184fd299e5
task_key
default--test--10004
task_revision_id
1
config / split
default / test

Official source

initial import