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One mole of ideal monoatomic gas (gamma=...

One mole of ideal monoatomic gas (`gamma= 5//3`) is mixed with one mole of diatomic gas (`gamma= 7//5`) . What is `gamma` for the mixture? `gamma` denotes the ratio of specific heat at constant pressure , to that at constant volume-

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`gamma_(mix)=(C_(P_("mix")))/(C_(V_("mix")))=(1+(5)/(2)R+1xx(7)/(2)R)/(1xx(3)/(2)+1xx(5)/(2)R)`
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Knowledge Check

  • The ratio of the molar heat capacities of a diatomic gas at constant pressure to that at constant volume is

    A
    `7/5`
    B
    `3/2`
    C
    `3/5`
    D
    `5/2`

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