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How many grams of H_2O are produced during the combustion of 500 g of glucose C_6H_{12}O_6 in the presence of 500 g of O_2?

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Final answer:

During the combustion of 500 g of glucose, assuming full reaction with sufficient oxygen, 300 grams of H2O are produced based on stoichiometry and the known molar masses of glucose and water.

Step-by-step explanation:

The question posed involves calculating the mass of H2O produced during the combustion of glucose, C6H12O6, in the presence of O2.

Firstly, we analyze the reaction stoichiometry: each mole of glucose reacts with 6 moles of oxygen to yield 6 moles of water.

The molar masses are critical for these calculations: 180.16 g/mol for glucose and 18.015 g/mol for water.

To solve this, we first find the moles of glucose in 500 g:

moles of glucose = 500 g / 180.16 g/mol = 2.777 moles

From the stoichiometry, 1 mole of glucose produces 6 moles of water, so 2.777 moles of glucose produce:

2.777 moles * 6 = 16.662 moles of H2O

Now, we convert moles of water to grams:

mass of H2O = 16.662 moles * 18.015 g/mol = 300.037 grams

Therefore, 300 grams of H2O are produced during the combustion of 500 g of glucose, assuming there is enough O2 present to react completely.

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