Final answer:
To determine the carbon content in 730g of CO2, calculate the number of moles of CO2 and then use the molar mass of carbon to find the mass in grams. The result is approximately 199 grams of carbon.
Step-by-step explanation:
To show that the carbon content of 730g of CO2 is 199g, we must first understand the molecular composition of carbon dioxide. Each molecule of CO2 consists of one carbon atom and two oxygen atoms. The molar mass of carbon is approximately 12 g/mol, while oxygen has a molar mass of approximately 16 g/mol. Thus, a mole of CO2 has a mass of 44 g/mol (12 g/mol for carbon + 2 × 16 g/mol for oxygen).
We can calculate the number of moles in 730g of CO2 by dividing the total mass by the molar mass of CO2:
730g CO2 ÷ 44 g/mol = 16.59 moles of CO2
Since each mole of CO2 contains one mole of carbon, we also have 16.59 moles of carbon. To find the mass of carbon in grams, we multiply the number of moles of carbon by the molar mass of carbon:
16.59 moles C × 12 g/mol = 199.08g C
Therefore, the carbon content of 730g of CO2 is approximately 199g.