Final answer:
When 1745 g of glucose decomposes, the conversion of grams to moles using the molar mass of glucose (180.16 g/mol) and the stoichiometry of the reaction results in the production of 58.116 moles of carbon.
Step-by-step explanation:
To determine how many moles of carbon are produced when 1745 g of glucose decomposes, first we need to convert grams of glucose to moles using the molar mass of glucose which is 180.16 g/mol. The balanced chemical equation is C6H12O6 → 6C + 6H2O.
Using the molar mass of glucose (180.16 g/mol), you calculate the moles of glucose in 1745 g:
- 1745 g glucose * (1 mol glucose / 180.16 g) = 9.686 moles of glucose
According to the equation, 1 mole of glucose yields 6 moles of carbon. Therefore, you can use this ratio to calculate the moles of carbon produced:
- 9.686 moles of glucose * (6 moles of carbon / 1 mole of glucose) = 58.116 moles of carbon
So, when 1745 g of glucose decomposes, 58.116 moles of carbon are produced.