Let's start with finding moles of ethanol burnt in the reaction.
#"Moles of ethanol" = "Mass of ethanol"/"Molar mass of ethanol"#
#= ("30.0 g")/("46.07 g/mol") = "0.6512 mols"#
Since all of the #"C"# in ethanol converts to #"CO"_2#, we can use the stoichiometric relationship from the balanced equation to relate the moles of ethanol to moles of #"CO"_2#.
#"1 mol ethanol " -> " 2 moles CO"_2#
So, the number of moles of #"CO"_2# produced by #0.65# moles ethanol #= "0.6512 mol" *2 = "1.3024 moles"#
#"Mass of CO"_2 = "Moles CO"_2 * "Molar mass of CO"_2#
#= "1.3024 moles" * "44.0 g/mol" = "57.3 g"#