Chemical reaction is given as :
[tex]2H_{2}O\rightarrow 2H_{2}+O_{2}[/tex]
Here, 2 moles of water gives 2 moles of hydrogen and one mole of oxygen.
Mass of hydrogen = 28.0 g (given)
Mass of oxygen = 224.0 g (given)
Number of moles = [tex] \frac{given mass}{molar mass} [/tex]
Thus, number of moles of hydrogen = [tex] \frac{28 g}{2\times 1 g/mol} [/tex]
= 14 moles of hydrogen
Number of moles of oxygen= [tex] \frac{224 g}{2\times 16 g/mol} [/tex]
= 7 moles of oxygen
Now, to find the amount of water:
[tex] 7 mol of oxygen \times (\frac{2 mol of water}{1 mol of oxygen})\times (18 g/mol of water) [/tex]
= 252 g of water.
Thus, amount of water is 252 g (involved in the process).