If three moles of monoatomic gas (γ = 5/3) is mixed with two moles of a diatomic gas (γ = 7/5), the value of adiabatic exponent γ for the mixture is:
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If three moles of monoatomic gas (γ = 5/3) is mixed with two moles of a diatomic gas (γ = 7/5), the value of adiabatic exponent γ for the mixture is:

G1 Physics · Accepted Answer

For monoatomic gas: f₁ = 3 For diatomic gas: f₂ = 5 Given: n₁ = 3 n₂ = 2 Equivalent degrees of freedom: f(mix) = (n₁f₁ + n₂f₂)/(n₁ + n₂) = (3 × 3 + 2 × 5)/5 = 19/5 For a gas: γ = 1 + 2/f Therefore, γ(mix) = 1 + 2/(19/5) = 1 + 10/19 = 29/19 ≈ 1.52