Dear student,
The balance combustion reaction of methane can be written as:
CH4 + 2 O2 ---> CO2 + 2 H2O
Given:
Mass of CH4 = 16 g
Molar mass of CH4 = 16 g/mol
Hence moles of CH4 = 16 g / 16 g/mol = 1 moles
According to balance equation 1 mole of CH4 is combusted to from 2 mole of H2O ; hence moles ratio of CH4 and H2O produced must be 1 : 2.
Hence moles of H2O formed = 2 x 1 moles = 2 moles
Molar mass of H2O = 18.0 g/mol
Hence mass of H2O produced = 2 moles x 18.0 g/mol = 36 g
Answer : 36 g of H2O produced
Regards