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Particulate Nature of Matter B.3 Ideal Gas Model (id: 87e9749e8)

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admin 发表于 2024-2-9 04:48:28 | 显示全部楼层 |阅读模式
本题目来源于试卷: Particulate Nature of Matter B.3 Ideal Gas Model,类别为 IB物理学

[问答题]
The inside face of an ideal gas piston is coated in an organic film (molar mass$240\,g\,mol^−1$) of negligible volume that sublimes at $200^{\circ}C$with a specific latent heat of vaporization of $70\,kJ\,mol^−1$. The piston has a cross-sectional area of 100 $cm^2$ and a mass of $1.00 kg$. The gas cylinder has an initial internal length $y$ of $1.0 m$ and it contains gas at an initial pressure of $101 kPa$ held at the sublimation temperature. The pressure of the surrounding air is $100 kPa$. The forces on the piston are initially in equilibrium.


1.Calculate how many moles of gas are contained in the piston prior to sublimation.
2. 1.Show that the initial mass of the organic film is approximately $19g$.
$\,$$\,$2.Estimate the number of moles initially contained within the organic film.
3.Power is supplied to the film at a rate of $10W$.
Estimate the time required for the film to completely sublime.
4.As a consequence of the sublimation, the pressure inside the cylinder remains $101kPa$ and the temperature is $473K$.
Estimate the final equilibrium value of $y$.






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