How to solve Q27

Solution -
let the molar mass of X = a
According to  given  ratio of mixture of XH4and X2H6 are 2:1
So the molar mass of the mixture will be 
                          =2(a+4) + (2a+6)=4a + 14
This confirms that when the mixture 4a mass of X then it have 14 g of hydrogen. 
 
Now, as it is given 5.625 g of total mixture out of which 5 g is X. 
So, the amount of hydrogen in the mixture containing 5g of X = 0.625 g 
0.625 g of hydrogen in present in 5g of X 
1g of hydrogen present in 
                                            =5/0.625 =8g
14 g of hydrogen contains                 
                                           =8×14=112 g
This 112 g of X is equivalent to 4a of X
So, molar mass of X or a = 112/4 = 28g
 
Hence the molar mass of X = 28 g and the correct option is (a) 

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