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NEET2019PhysicsKinetic Theory of GasesActual

The value of (= C_p C_V ) for hydrogen, helium and another ideal diatomic gas X (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to

Options

  1. A7 5 , 5 3 , 9 7
  2. B5 3 , 7 5 , 9 7
  3. C5 3 , 7 5 7 5
  4. D7 5 , 5 3 , 7 5

Correct answer

A. 7 5 , 5 3 , 9 7

Step-by-step solution

The poisson's ratio, = C _ P C _ V where, C_p= molar heat capacity constant pressure and C _ V = molar heat capacity at constant volume Also, C_p=C_V+R (from Mayer's relation) C_V= f 2 R (where, f = degree of freedom) C _ p = ( f 2 +1 ) R So, Eq. (i) becomes, =1+ 2 f For hydrogen gas, which is diatomic, the degree of freedom is 5 ( 3 translational, 2 rotational). =1+ 2 5 = 7 5 For helium gas, which is monoatomic, the degree of freedom is 3 ( 3 translational only). =1+ 2 3 = 5 3 The diatomic gas X also have vibratio

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