Terminal Speed of Vessel in Vacuum and Weightlessness

[andrea1313]

Homework Statement

terminal speed of the vessel

Relevant Equations

ideal gases law

In vacuum and weightlessness, at the bottom of a cylindrical vessel (a cup), there is a layer of solid substance of molar mass μ. This substance sublimes slowly (evaporates from the solid phase into gaseous phase) and pushes thereby the vessel to the opposite direction. Estimate the terminal speed of the vessel. The mass of the vessel M, and the initial mass of the substance m ≪ M; the temperature of the vessel is T; the process can be assumed to be isothermal (cooling due to evaporation and heat radiation remains negligible). The
cross-sectional area of the vessel is A.

 

[berkeman]

Problem Statement: terminal speed of the vessel
Relevant Equations: ideal gases law

In vacuum and weightlessness, at the bottom of a cylindrical vessel (a cup), there is a layer of solid substance of molar mass μ. This substance sublimes slowly (evaporates from the solid phase into gaseous phase) and pushes thereby the vessel to the opposite direction. Estimate the terminal speed of the vessel. The mass of the vessel M, and the initial mass of the substance m ≪ M; the temperature of the vessel is T; the process can be assumed to be isothermal (cooling due to evaporation and heat radiation remains negligible). The
cross-sectional area of the vessel is A.

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