Answer:
Thus, first conversion of mass of methane into moles by dividing it with 16.04 g/mol
Mass = 138.63 g
Explanation:
The balanced chemical reaction is shown below:-
[tex]CH_4+2O_2\rightarrow CO_2+2H_2O[/tex]
Firstly the moles of methane gas reacted must be calculate as:-
Given, mass of methane = 50.6 g
Molar mass of methane gas = 16.04 g/mol
The formula for the calculation of moles is:-
[tex]Moles=\frac{Mass\ taken}{Molar\ mass}=\frac{50.6}{16.04}\ mol=3.15\ mol[/tex]
Thus, from the reaction stoichiometry,
1 mole of methane produces 1 mole of carbon dioxide
Also,
3.15 mole of methane produces 3.15 mole of carbon dioxide
Moles of [tex]CO_2[/tex] = 3.15 mole
Molar mass of [tex]CO_2[/tex] = 44.01 g/mol
Mass = Moles*Molar mass = [tex]3.15\times 44.01[/tex] g = 138.63 g