What would be the theoretical yield in grams of carbon dioxide in the reaction shown below if 30 g of C6H12O6 were reacted with an excess of oxygen? C6H12O6 + O2 -> CO2 + H2O

Respuesta :

Answer: Thus 44 g of [tex]CO_2[/tex] will be produced  if 30 g of [tex]C_6H_{12}O_6[/tex] were reacted with an excess of oxygen

Explanation:

To calculate the moles :

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

[tex]\text{Moles of} C_6H_{12}O_6 =\frac{30g}{180g/mol}=0.17moles[/tex]

The balanced chemical equation is:  

[tex]C_6H_{12}O_6 +6O_2(g)\rightarrow 6CO_2+6H_2O(g)[/tex]

As [tex]C_6H_{12}O_6[/tex] is the limiting reagent as it limits the formation of product and [tex]O_2[/tex] is the excess reagent.

According to stoichiometry :

1 mole of [tex]C_6H_{12}O_6[/tex] produce =  6 moles of [tex]CO_2[/tex]

Thus 0.17 moles of [tex]C_6H_{12}O_6[/tex] will produce=[tex]\frac{6}{1}\times 0.17=1.0mole[/tex]  of [tex]CO_2[/tex]

 Mass of [tex]CO_2=moles\times {\text {Molar mass}}=1.0moles\times 44g/mol=44g[/tex]

Thus 44 g of [tex]CO_2[/tex] will be produced  if 30 g of [tex]C_6H_{12}O_6[/tex] were reacted with an excess of oxygen.

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