QJEEM13Ch2700: JEE Main 2013 Chemistry - Class 11 JEEM13Ch2700 Solution: For gaseous state, if most probable speed is denoted by C*,…

Question

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For gaseous state, if most probable speed is denoted by C*, average speed by

\overset{__}{C}

and mean square speed by C, then for a large number of molecules the ratios of these speeds are:

Accepted Answer

Most probable speed

(C^{*}) = \sqrt{\frac{2 R T}{M}}

Average Speed

(\overset{―}{C}) = \sqrt{\frac{8 R T}{π M}}

Root mean square velocity

(c) = \sqrt{\frac{3 R T}{M}}

C^{*} : \overset{―}{C} : C = \sqrt{\frac{2 R T}{M}} : \sqrt{\frac{8 R T}{π M}} : \sqrt{\frac{3 R T}{M}}

= 1 : \sqrt{\frac{4}{π}} : \sqrt{\frac{3}{2}}

= 1 : 1.128 : 1.225

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