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The vapour density of a mixture consisti...

The vapour density of a mixture consisting of `NO_(2)` and `N_(2)O_(4)` is `38.3` at `275 K`. The number of moles of `NO_(2)` in the mixture:

Text Solution

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The correct Answer is:
`(0.437)`

From the vapour density information
Molar mass = Vapour density`xx 2" " ( :' " Molar mass of "H_(2)=2)`
`=38.3xx2=76.6`
Now, let us consider `1.0` mole of mixture and it contains x mole of `NO_(2)`
`implies 46x +92 (1-x)=76.6`
`implies x=0.3348`
Also, in `100 g` mixture, number of moles `=100/76.6`
`implies` Moles of `NO_(2)` in mixture `=100/76.6xx0.3348=0.437`
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