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At 0^(@)C , the density of a gaseous oxi...

At `0^(@)C` , the density of a gaseous oxide at `2` bar is the same as that of dinitrogen at `5` bar. The molar mass of the oxide is

A

`60 g mol^(-1)`

B

`50 g mol^(-1)`

C

`70 g mol^(-1)`

D

`30 g mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to the ideal gas law,
`pM = dRT`
At the same temperature `(T)` and for the same density `(d) ,pM` becomes a constant. Thus,
`p_(o x i de)M_(o x i de) = p_(N_(2))M_(N_(2))`
or `M_(Ox i de) = p_(N_(2)) M_(N_(2))//p_(o x ide)`
`= ((5 ba r) (28 g mol^(-1)))/((2 ba r))`
`= 70 g mol^(-1)`
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