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States Of Matter

Question
CBSEENCH11005929

At 0°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? 

Solution

We know,
straight d space equals space MP over RT
At the same temperature and for same density 
           straight M subscript 1 straight P subscript 1 space equals space straight M subscript 2 straight P subscript 2 space space space left square bracket because space space straight R space is space constant right square bracket space space... left parenthesis 1 right parenthesis
(Gaseous oxide) (N2)
 Here P1 = 2 bar;    
P2 = 5 bar;
M2 = molecular mass of N2 = 28
Substituting the values in equation(1), we have
      M1 x 2 = 28 x 5
therefore space space space space straight M subscript 1 space equals space 70