Question

Calculate velocity of sound in mixture of one mole helium one mole o2 at 127

Answer 1

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).

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Answer 2

Answer:

Dioxygen is a diatomic molecule, so its degree of freedom = 5 = f1and its number of moles, n1 = 1.Helium is a monoatomic gas, so its degree of freedom = 3 = f2and 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).

Explanation: