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A mixture of O2 and gas "Y" mol. mass 80 in the mole ratio a : b has a mean molecular mass 40. What would be mean molecular mass, if the gases are mixed in the ratio b : a under, identical conditions?

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A mixture of O2 and gas "Y" mol. mass 80 in the mole ratio a : b has a mean molecular mass 40. What would be mean molecular mass, if the gases are mixed in the ratio b : a under, identical conditions? (Assume that gases are non-reacting):

(a) 40

(b) 48

(c) 62

(d) 72

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Answer is: (d) 72

Explanation:

Let mole fraction of O2 is x

40 = 32 × x + 80 (1 – x)

or x = \(\frac{5}{6}\)

a : b = x : (1 - x) = \(\frac{5}{6}\):\(\frac{1}{6}\)

When ratio is changed

Mmixture = 32 x \(\frac{1}{60}\) + 80 x \(\frac{5}{6}\)

= 72

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