Firstly we will convert the mass of methane to moles of methane:
[tex]\begin{gathered} _nCH_4=\frac{mass}{molar\text{ }mass} \\ \\ _nCH_4=\frac{38\text{ }g}{16.04\text{ }gmol^{-1}} \\ _nCH_4=2.37mol \end{gathered}[/tex]Based on the mole ratio 1 mole of methane produce 1 mole of carbon dioxide.
Answer: 2.37mole of methane produce 2.37mole of carbon dioxide.