How many grams of H2 are needed to completely react within 50g of N2?

10.7 grams

Therefore, 10.7 grams of Hydrogen are necessary to fully react with 50.0 grams of Nitrogen.

2X₂Y₃    →     4X     +     3Y₂

Explanation:

This problem is about balancing chemical equations.

The reaction is given as:

          X₂Y₃    →     X     +     Y₂

To balance the reaction equation, we use a mathematical approach.

      aX₂Y₃    →     bX     +     cY₂

Conserving X;   2a  = b

                    Y;   3a = 2c

Now, let us make a  = 1

                              b  = 2

                              c  =  

Multiply through by 2;

         a  = 2, b  = 4 , c  = 3;

        2X₂Y₃    →     4X     +     3Y₂