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A non-linear triatomic gas $50 %$ dissociates into individual atoms. Ignoring the vibrational degree of freedom and any further dissociation, the gas behaves as if the number of degrees of freedom is __________ .
(Round-off to nearest integer)

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answer is 4.

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Detailed Solution

$n_{m} = n_{1} + n_{2} u_{m} = u_{1} + u_{2} 50 % d i s o s a c i t a i o n = \frac{N_{0}}{2} 50 % R e m a n y d i s \tan c e n_{m} = \frac{3 N_{0}}{2} + \frac{N_{0}}{2} = n_{1} + n_{2}; n_{m} . f_{m} = n_{1} f_{1} + n_{2} f_{2} f_{m} = 4$

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