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Three vessels of equal capacity have gas...

Three vessels of equal capacity have gases at same temperature and pressure. The first vessel contains neon (monoatomic). The second contains chlorine (diatomic) and the third contains uranium hexafluoric (polyatomic). Do the vessels contain equal number of respective molecules ? Is the root-mean-square speed of molecules the same in the three cases? If not, in which case is Ums the largest ?

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To solve the problem, we will break it down into two parts: 1. Determining if the vessels contain an equal number of molecules. 2. Finding out if the root-mean-square (rms) speed of the molecules is the same in the three cases and identifying which case has the largest rms speed. ### Step 1: Equal Number of Molecules We start with the ideal gas law, which states: ...
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