Answer:
14.8372g --> 14.84g(using sig figs)
Step-by-step explanation:
By the rules of conservation of mass, we know that chemical equation coefficients(of a balanced equation) are correspondent to the amount of matter produced. In other words, for every one mol of CH4 combusted, 2 moles of H2O are produced. Using this 1:2 ratio, we can calculate that 0.4118 moles of methane yields 2 * 0.4118 moles of H2O, or 0.8236 moles of H2O. Converting from moles to grams, we get 14.8372 grams of H2O