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5n , n and 5n moles of a monoatomic , di...

`5`n , n and `5`n moles of a monoatomic , diatomic and non-linear polyatomic gases (which do not react chemically with each other ) are mixed at room temperature . The equivalent degree of freedom for the mixture is :-

A

`(25)/(7)`

B

`(48)/(11)`

C

`(52)/(11)`

D

`(50)/(11)`

Text Solution

Verified by Experts

The correct Answer is:
D
`f_(eq) = (f_(1)n_(1) + f_(2)n_(2) + f_(3)n_(3))/(n_(1) + n_(2)+ n_(3)) = ((5n) (3)(n)(5)+(5n)(6))/(5n + n+ 5n) = (50)/(11)`
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