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Calculate the ratio (Cp / Cv) of oxygen ...

Calculate the ratio `(C_p / C_v)` of oxygen from the following data . Speed of sound in oxygen`(= 32g mol^(-1))` and the gas constant `(R = 8.3 J K ^(-1) mol^(-1))`.

Text Solution

Verified by Experts

The speed of sound in a gas is given by
`(v = (sqrt gamma P / rho )) = (sqrt gammaRT / M) `
or, `(gamma = M_v^(2)/ (RT) `
` (32 xx 10^(-3) kg mol^(-1) (315 m s ^(-1) ) ^(2) / 8.3 J K ^(-1) mol^(-1) (273 K) = 1.4`
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Knowledge Check

  • One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in JK​^(-1)"​ mol​ "^(-1) ​) at constant volume is (R = 8.3 J K​^(-1​) " mol"​^(-1​) )

    A
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    B
    18.9
    C
    19.2
    D
    19.7

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