Answer:
Mass of CO₂ produced  = 5.72 g
Explanation:
Given data:
Mass of methane = 2.34 g
Mass of oxygen = 8.32 g
Mass of CO₂ produced = ?
Solution:
Chemical equation:
CH₄ + 2O₂    →      CO₂ + 2H₂O
Number of moles of methane:
Number of moles = mass/molar mass
Number of moles =  2.34 g/ 16 g/mol
Number of moles = 0.146 mol
Number of moles of oxygen:
Number of moles = mass/molar mass
Number of moles =  8.32 g/ 32 g/mol
Number of moles = 0.26 mol
Now we will compare the moles of carbon dioxide with oxygen and methane.
                          CH₄             :              CO₂
                            1                 :              1
                         0.146            :           0.146
                          O₂                :               CO₂
                           2                 :                   1
                      0.26                :              1/2×0.26 = 0.13 mol
Less number of moles of CO₂ are produced by oxygen thus oxygen will react as limiting reactant.
Mass of CO₂:
Mass = number of moles × molar mass
Mass = 0.13 mol ×  44 g/mol
Mass = 5.72 g