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MHT CET20227 Aug 2022Evening ShiftPhysicsKinetic Theory of GasesActual

If one mole of an ideal gas ( = 5 3 ) is mixed with one mole of a diatomic gas ( = 7 5 ) . The value of for the mixture is

Options

  1. A1.50
  2. B1.53
  3. C3.07
  4. D1.40

Correct answer

A. 1.50

Step-by-step solution

As we know, C_v= 3 5 R T ; C_p= 5 R T 2 for monoatomic gas; C_v= 5 2 R T ; C_p= 7 2 R T for diatomic gas Thus, for mixture of 1 mole each, C_v= 3 2 R T+ 5 2 R T 2 and C_p= 5 2 R T+ 7 2 R T 2 =3 R T Therefore, C_v C_p = 3 R T 2 R T =1.5

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