Answer:
Ans: 6.174g
Explanation:
Consider the Balanced chemical equation
[tex]CH_{4} + 2O_{2}[/tex] → [tex]CO_{2} +2H_{2} O[/tex]
since we 8.94g of Oxygen that reacted, we can find the number of moles of oxygen that were involved in the reaction by saying
[tex]n(O) =\frac{m}{mm} \\\\\\n(O) = \frac{8.94g}{32.00g/mol} \\\\n(O) = 0.28mol[/tex]
hence the number of moles of oxygen that reacted are 0.28mol
now to find the number of moles of carbon dioxide produced, we relate the mole ratio from the balanced chemical equation
where 2mol of [tex]O_{2}[/tex] produced 1mol of [tex]CO_{2}[/tex]
2mol [tex]O_{2}[/tex] : 1mol [tex]CO_{2}[/tex]
0.28mol : [tex]X[/tex]
∴ 0.14mol of [tex]CO_{2}[/tex] was produced
[tex]n(CO_{2} ) = \frac{m(CO_{2}) }{mm(CO_{2}) }\\\\0.14mol = \frac{m(CO_{2}) }{44.1g/mol}[/tex]
[tex]m(CO_{2}) = 6.17g[/tex]