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

At `0^(@)C` the density of a gaseous oxide at 2 bar is same as that of nitrogen at 5 bar What is the molecular mass of the oxide ? .

Text Solution

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`d=(pM)/(RT)`
For nitrogen gas at 5 bar pressure and 273 K temperature
`d(N_(2))=("5 bar"xx"28 g mol"^(-1))/(Rxx273K)`
For gaseous oxide at 2 bar pressure and 273 K temperature
`d("oxide")=("2 bar"xx"M g mool"^(-1))/(Rxx273K)`
`"Now "d(N_(2))="d (oxide)"`
`("5 bar"xx"28 g mol"^(-1))/(Rxx273K)=("2 bar "xx"M g mol"^(-1))/(Rxx273K)`
`therefore" "M=(5xx28)/(2)="70 g mol"^(-1)`
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