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Kinetic Theory

Question
CBSEENPH11020490

One mole of ideal monoatomic gas (γ = 5/30) is mixed with one mole of diatomic gas(γ = 7/5). What is γ for the mixture? γ denotes the ratio of specific heat at constant pressure, to that at constant volume.

  • 3/2

  • 23/15

  • 35/23

  • 4/3

Solution

A.

3/2

Q = Q1 + Q2
fraction numerator straight n subscript 1 space plus straight n subscript 2 over denominator straight gamma subscript straight m minus 1 end fraction space equals space fraction numerator straight n subscript 1 over denominator straight gamma subscript 1 minus 1 end fraction space plus fraction numerator straight n subscript 2 over denominator straight gamma subscript 2 minus 1 end fraction

γm = 3/2