g Gaseous methane will react with gaseous oxygen to produce gaseous carbon dioxide and gaseous water . Suppose 0.96 g of methane is mixed with 6.37 g of oxygen. Calculate the maximum mass of carbon dioxide that could be produced by the chemical reaction. Be sure your answer has the correct number of significant digits.

Respuesta :

Answer: 2.64 g of carbon dioxide that could be produced by the chemical reaction.

Explanation:

To calculate the moles :

[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]    

[tex]\text{Moles of} CH_4=\frac{0.96g}{16g/mol}=0.06moles[/tex]

[tex]\text{Moles of} O_2=\frac{6.37}{32}=0.20moles[/tex]

[tex]CH_4(g)+2O_2(g)\rightarrow CO_2(g)+2H_2O(g)[/tex]

According to stoichiometry :

1 mole of [tex]CH_4[/tex] require = 2 moles of [tex]O_2[/tex]

Thus 0.06 moles of [tex]CH_4[/tex] will require=[tex]\frac{2}{1}\times 0.06=0.12moles[/tex]  of [tex]O_2[/tex]

Thus [tex]CH_4[/tex] is the limiting reagent as it limits the formation of product and [tex]O_2[/tex] is the excess reagent.

As 1 moles of [tex]CH_4[/tex] give = 1 mole of [tex]CO_2[/tex]

Thus 0.06 moles of [tex]CH_4[/tex] give =[tex]\frac{1}{1}\times 0.06=0.06moles[/tex]  of [tex]CO_2[/tex]

Mass of [tex]CO_2=moles\times {\text {Molar mass}}=0.06moles\times 44g/mol=2.64g[/tex]

Thus 2.64 g of carbon dioxide that could be produced by the chemical reaction.