If 15 g of C₂H₆ reacts with 60.0 g of O₂, how many moles of water (H₂O) will be produced?

2C2H6 + 702 (arrow) 4CO2 + 6H20

1.5mol H20
1.6mol H20
1.0 mol h20
1.1 mol h20

Respuesta :

Answer:

[tex]n_{H_2O}=1.5molH_2O[/tex]

Explanation:

Hello,

In this case, the undergoing chemical reaction is:

[tex]2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O[/tex]

Next, we identify the limiting reactant by computing the available moles of ethane and the moles of ethane consumed by 60.0 grams of oxygen:

[tex]n_{C_2H_6}^{available}=15g*\frac{1mol}{30g} =0.50molC_2H_6\\n_{C_2H_6}^{reacted}=60.0gO_2*\frac{1molO_2}{32gO_2}*\frac{2molC_2H_6}{7molO_2} =0.536molC_2H_6[/tex]

Thus, we notice there are less available moles, for that reason, the ethane is the limiting reactant. Finally, we can compute the produced moles of water by:

[tex]n_{H_2O}=0.50molC_2H_6*\frac{6molH_2O}{2molC_2H_6}\\\\n_{H_2O}=1.5molH_2O[/tex]

Best regards.