Q47 / 268 · NTA Abhyas (NEET) 2020 · Physics · Thermodynamics

One mole of an ideal monoatomic gas γ=53 is mixed with one mole of diatomic gas γ=75. The value of γ for the mixture is (where, γ represents the ratio of specific heat capacities at constant pressure and constant volume)

  • Correct answer
    A
    1.5
  • B
    1.75
  • C
    1.33
  • D
    1.85

Solution

Given, n1=1,  γ1=53

n2=1,  γ2=75

Since, we know,

γmix=n1γ1γ1-1+n2γ2γ2-1n1γ1-1+n2γ2-1 ... (i)

Putting the given values in Equation (i), we get

γmix= 1× 5 3 5 3 −1 +1. 7 5 7 5 −1 1 5 3 −1 + 1 7 5 −1

=5/32/3+7/52/512/3+12/5=52+7232+52

⇒   =12/28/2

∴ γmix=128=32=1.5

Hence, the correct answer is option: 'A'.

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