Balanced equation
"2H"_2 + "O"_2"2H2+O2rarr→"2H"_2"O"2H2O
color(red)(1.1. Calculate mol "H"_2"H2 by dividing its given mass by its molar mass ("2 g/mol")(2 g/mol). Do this by multiplying by the inverse of the molar mass.
color(blue)(2.2. Calculate mol "H"_2"O"H2O by multiplying mol "H"_2"H2 by the mol ratio between "H"_2"O"H2O and "H"_2"H2 from the balanced equation, with "H"_2"O"H2O in the numerator.
color(green)(3.3. Calculate mass "H"_2"O"H2O by multiplying by the molar mass of "H"_2"O"H2O ("18 g H"_2"O")(18 g H2O).
color(red)8color(black)cancel(color(red)("g H"_2))xx(color(red)(1color(black)cancel(color(red)("mol H"_2))))/(color(black)cancel(color(red)(2"g H"_2)))xx(color(blue)2color(black)cancel(color(blue)("mol H"_2"O")))/(color(blue)2color(black)cancel(color(blue)("mol H"_2)))xx(color(green)18color(green)("g H"_2"O"))/(color(green)1color(black)cancel(color(green)("mol H"_2"O")))="70 g H"_2"O" (rounded to one significant figure)