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MMLU-Pro / 4450 / Assume all gases are perfect unless stated otherwise. Unless otherwise stated,…

Problem

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question

Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. The volume of a certain liquid varies with temperature as $$ V=V^{\prime}\left\{0.75+3.9 \times 10^{-4}(T / \mathrm{K})+1.48 \times 10^{-6}(T / \mathrm{K})^2\right\} $$ where $V^{\prime}$ is its volume at $300 \mathrm{~K}$. Calculate its expansion coefficient, α\alpha, at $320 \mathrm{~K}$.
Plain-text mathematical notation (without MathML)
Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. The volume of a certain liquid varies with temperature as
$$
V=V^{\prime}\left\{0.75+3.9 \times 10^{-4}(T / \mathrm{K})+1.48 \times 10^{-6}(T / \mathrm{K})^2\right\}
$$
where $V^{\prime}$ is its volume at $300 \mathrm{~K}$. Calculate its expansion coefficient, α, at $320 \mathrm{~K}$.
Original LaTeX notation
Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. The volume of a certain liquid varies with temperature as
$$
V=V^{\prime}\left\{0.75+3.9 \times 10^{-4}(T / \mathrm{K})+1.48 \times 10^{-6}(T / \mathrm{K})^2\right\}
$$
where $V^{\prime}$ is its volume at $300 \mathrm{~K}$. Calculate its expansion coefficient, $\alpha$, at $320 \mathrm{~K}$.

category

chemistry

options

  1. $1.50 \times 10^{-3}\mathrm{~K}^{-1}$
  2. $1.19 \times 10^{-3}$$\mathrm{~K}^{-1}$
  3. $1.15 \times 10^{-3}\mathrm{~K}^{-1}$
  4. $1.31 \times 10^{-3}$$\mathrm{~K}^{-1}$
  5. $1.33 \times 10^{-3}\mathrm{~K}^{-1}$
  6. $1.05 \times 10^{-3}\mathrm{~K}^{-1}$
  7. $1.27 \times 10^{-3}\mathrm{~K}^{-1}$
  8. $1.22 \times 10^{-3}$$\mathrm{~K}^{-1}$
  9. $1.38 \times 10^{-3}\mathrm{~K}^{-1}$
  10. $1.45 \times 10^{-3}$$\mathrm{~K}^{-1}$

src

scibench-atkins

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Source and history

upstream_id / Original problem ID
4450
task_id
1c90bd43-b7f6-59ef-b9a2-e1ecbeeae02c
task_key
default--test--4450
task_revision_id
1
config / split
default / test

Official source

initial import