Calculate velocity of sound in mixture of 1 mole He and 1 mole O2 at 127°C.
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Explanation:Dioxygen is a diatomic molecule, so its degree of freedom = 5 = f1
and its number of moles, n1 = 1.
Helium is a monoatomic gas, so its degree of freedom = 3 = f2
and its number of moles, n2 = 2.
Now use formula, effective degree of freedom of mixture = f = [f1n1 + f2n2] / [n1+n2] = (11/3).
Also, remember that U = n Cv.T = nRT(f/2).
So, Cv = (f/2) R = (11/6) R.
We know, Cp - Cv = R, so Cp = (17/6) R.
So, Cp/Cv = (17/11).
Hope it helps….
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