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# At 0^o C the density of a certain oxide of a gas at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide ?

5.4   At $0^{o}\; C$, the density of a certain oxide of a gas at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide?

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Given the condition :

Temperature $= 0^{\circ}C$

$Pressure = 2\ bar$ for oxide gas and  $Pressure = 5\ bar$ for dinitrogen.

As Density of gas is represented by, $d = \frac{PM}{RT}$

And given that density is the same for both the gases at the same temperature condition.

So, we have $M_{1}P_{1} = M_{2}P_{2}$  (as R is constant}

or, $M_{1}\times 2 =28\times 5$                      $(\because Molecular\ mass\ of\ N_2 = 28\ u)$

or, $M_{1} = 70\ u$

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