J.R. S. answered 01/30/19
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
First, always write a correctly balanced equation:
CH4 + 2O2 ==> CO2 + 2H2O
Next, determine which reactant, if any, is limiting:
moles CH4 = 20 g CH4 x 1 mole/16 g = 1.25 moles CH4
moles O2 = 13 g O2 x 1 mole/32 g = 0.41 moles O2
Since it takes 2 moles O2 for each mole of CH4, clearly the O2 is limiting, and it will determine how much H2O can be formed.
Another way to determine which is limiting is to find moles of H2O formed from each.
1.25 moles CH4 x 2 moles H2O/mole CH4 = 1.25 moles H2O formed
0.41 moles O2 x 2 moles H2O/2 moles O2 = 0.41 moles H2O formed = LIMITING
From the above calculation, you can make only 0.41 moles of H2O, thus...
mass of H2O formed = 0.41 moles H2O x 18 g/mole = 7.3 g H2O