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A gaseous compound of nitrogen and hydrogen contains 12.5%(by mass) of hydrogen. The density of the compound relative to hydrogen is 16. The molecular formula of the compound is :            

 

Option: 1

NH_{2}


Option: 2

N_{3}H


Option: 3

NH_{3}


Option: 4

N_{2}H_{4}


Answers (1)

best_answer

In the given compound, let the total weighht of the compound is 100 g.
Therefore, the weight of hydrogen = 12.5 g and weight of nitrogen = 87.5 g.

Now, moles of hydrogen = 12.5 /1 = 12.5 moles
moles of nitrogen = 87.5 / 14 = 6.25 moles

Now the atomic ratio of hydrogen to nitrogen = 12.5 / 6.25
                                                                 = 2:1

According to question, vapour density of the compound = 16
Therefore, molecular weight = 2 x vapour density
                                         = 32g

Now, from the atomic ratio, we can say that the empirical formula of the compound is NH2.
Thus, the molecular formula of the compound = n x empirical formula
Now, molecular mass = 32g and empirical mass = 16g
Thus, the molecular formula of the compound = 2 x NH2
                                                             = N2H4

Therefore, Option (4) is correct
                                                                                  

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