When glucose is consumed, it reacts with oxygen in the body to produce carbon dioxide, water, and energy. How many grams of carbon dioxide would be produced if45 g of #C_6H_12O_6# completely reacted with oxygen?

1 Answer
Apr 30, 2017

Answer:

66 grams #CO_2#

Explanation:

First, find the balanced chemical formula:

#C_6H_12O_6 + 6O_2 rarr 6CO_2 + 6H_2O#

Since glucose forms carbon dioxide in a 1:6 ratio, we know that one mole of glucose yields 6 moles of carbon dioxide. So in order to find the moles of carbon dioxide formed, we need to multiply the moles of glucose by 6.

#"moles " C_6H_12O_6 = (45g) / "molar mass of glucose"#

#"moles " C_6H_12O_6 = (45g) / (180.15588 g/(mol))#

#"moles "C_6H_12O_6 = 0.249783687 mols#

#"moles "CO_2 = 0.249783687mols * 6#

#"moles "CO_2 = 1.498702124mols#

To find grams of carbon dioxide, just multiply the moles of #CO_2# by #CO_2#'s molar mass.

#"grams " CO_2 = 1.498702124mols * 44.0095 g/(mol)#

#"grams " CO_2 = 65.957131124 grams#

Since you only have 2 sig figs, the answer would be 66 grams.