Question
Question: For gaseous state, if most probable speed is denoted by C\*, average speed by and mean square speed ...
For gaseous state, if most probable speed is denoted by C*, average speed by and mean square speed by C, then for a large number of molecules the ratios of these speeds are :
A
C* : : C = 1.225 : 1.128 : 1
B
C* : : C = 1.128 : 1.225 : 1
C
C* : : C = 1 : 1.128 : 1.225
D
C* : : C = 1 : 1.225 : 1.128
Answer
C* : : C = 1 : 1.128 : 1.225
Explanation
Solution
C* = most probable speed =M2RT
Cˉ= average speed=πM8RT
C = Mean square speed corrected as rms=M3RT
C* <Cˉ<C
C* : Cˉ : C = 1 :π4 : 23= 1 : 1.128 : 1.225
Note : As no option correspond to mean square speed, it is understood as misprint. It should be root means square speed
So, Ans is (3)