Question

At certain temperature RMS velocity of a gas is 12,240 m/s, then it's most probable velocity would be
(A) 10,000 m/s
(B) 12,800 m/s
(C) 8100 m/s
(D)
9123 m/s​

Answer 1

Answer:

r.m.s velocity =  

M

3RT

​  

 

​  

=u  

rms

​  

 

Most probable velocity =  

M

2RT

​  

 

​  

=u  

mp

​  

.

u  

rms

​  

 

u  

mp

​  

 

​  

=  

3

​  

 

2

​  

 

​  

 

12240

u  

mp

​  

 

​  

=  

3

​  

 

2

​  

 

​  

⟹u  

mp

​  

=  

3

​  

 

2

​  

 

​  

×12240=9993≃10000=10  

4

 

∴ Most probable velocity is 10  

4

 times rms velocity

Explanation: