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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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