Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (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 vms the largest?

Explanation

`|vecA|=sqrt(3^(2)+4^(2))=5`
also `|vecB|=sqrt(7^(2)+24^(2))=25`
desired vector `=|vecB|hatA=25xx(3hatik+4hatj)/(5)=5(3hati+4hatj)=15hati+20hatj`.