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Specific heat or gamma of a mixture of gases

This type of question, asked 4 times: 29 Jul 2022, 29 Jan 2024, 30 Jan 2024, 1 Feb 2024. All 4 questions below, oldest first.

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  1. Question 1

    29 Jul 2022

    24
    One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is α24RJ/molK\frac{\alpha^{2}}{4}RJ/molK; then the value of α\alpha will be______ (Assume that the given diatomic gas has no vibrational mode.)
  2. Question 2

    29 Jan 2024

    108
    N moles of a polyatomic gas (f=6(f = 6 ) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of NN is:

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  3. Question 3

    30 Jan 2024

    106
    If three moles of monoatomic gas (γ=53)\left( \gamma = \frac{5}{3} \right) is mixed with two moles of a diatomic gas (γ=75)\left( \gamma = \frac{7}{5} \right), the value of adiabatic exponent γ\gamma for the mixture is:

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  4. Question 4

    1 Feb 2024

    6
    Two moles of a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is:

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