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Question

On passing 1.8 l of oxygen through ozonizer gives 1.6 l of a mixture of ozone and oxygen. What is the mole fraction of ozone in resultant mixture?

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Solution

The reaction occurring is

3 O2 ---> 2 O3

Initially there is 1.8 L of O2 gas.
Let us assume that V volume of O3 gas is formed , so 3V2 volume of O2 is reduced, considering pressure and temperature remains unchanged.(Since at constant pressure and temperature number of moles is directly proportional to their volume.)

Hence, final volume of mixture = 1.8 - 3V2+V = 1.6 => V = 0.4 L of O3 gas. and 1.2 L of O2 gas left.
Mole fraction of O3 in resultant mixture = 0.41.6 = 0.25


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