Question

a classical gas of molecule and each of mass m is in thermal equilibrium at temperature t the velocity component of the molecule along the cartesian axis ba x vi vi vi visa so find out average value of x + y ka whole square is​

Answer 1

Answer:

Explanation:

Total KE of A type of molecules =

 

2

3

​  

mω  

2

 

Total KE of A type of molecule is  

K.E  

A

​  

 =    

2

1

​  

[(V  

r.ms

​  

)  

x

2

​  

+(V  

rms

​  

)  

y

2

​  

+(V  

rms

​  

)  

z

2

​  

]

but (V  

rms

​  

)  

x

​  

 = ω

So (V  

rms

​  

)  

y

​  

 = (V  

rms

​  

)  

z

​  

 = ω

Total KE of B type molecules  

=  

2

1

​  

×2mv  

2

 = m.v  

2

 

Now,    

2

3

​  

×mω  

2

 = mv  

2

 

or (ω  

2

/v  

2

) =    

3

2

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