Find the composition of a mixture of oxygen with ozone in molar fractions, if it is known that

Find the composition of a mixture of oxygen with ozone in molar fractions, if it is known that the relative density of the mixture for hydrogen is 17.6.

Let x be the mole fraction of oxygen in the mixture, then the mole fraction of ozone is 1 – x.

The average molar mass of the mixture will be expressed by the ratio:

M (mixture) = x * M (O2) + (1 – x) * M (O3) = x * 32 – 48 * x + 48 = 48 – 16x;

M (mixture) = D H2 (mixture) * M (H2) = 17.6 * 2 = 35.2 g / mol;

48 – 16x = 35.2;

x = 0.8;

1 – x = 1 – 0.8 = 0.2.

Answer: the mixture contains 80% O2 and 20% O3.



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