One mole of ideal monoatomic gas ( γ = 5/3 ) is mixed with one mole of diatomic gas ( γ = 7/5 ). What is γ for the mixture? γ denotes the ratio of spe - Physics MCQ AIEEE 2004 2026 | ExamTest.live

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One mole of ideal monoatomic gas (γ = 5/3) 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.

Solution & Step-by-step Explanation

C_{v, mi x} = \frac{n _{1} C _{v 1} + n _{2} C _{v 2}}{n _{1} + n _{2}} For monoatomic gas: C_{v 1} = \frac{3}{2} R For diatomic gas: C_{v 2} = \frac{5}{2} R C_{v, mi x} = \frac{1 ( 1.5 R ) + 1 ( 2.5 R )}{2} = \frac{4 R}{2} = 2 R . C_{p, mi x} = C_{v, mi x} + R = 3 R . γ_{mi x} = \frac{C _{p, mi x}}{C _{v, mi x}} = \frac{3 R}{2 R} = 1.5 or 3/2 .

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One mole of ideal monoatomic gas (γ = 5/3) 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

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