Final answer:
To calculate the mass of glucose that contains a billion oxygen atoms, we need to use the molar mass of glucose and the mole ratios of glucose and oxygen. The mass of glucose is 1.8016x10^11 g.
Step-by-step explanation:
To calculate the mass of glucose that contains a billion oxygen atoms, we need to use the molar mass of glucose and the mole ratios of glucose and oxygen. The molar mass of glucose is 180.16 g/mol. From the given information, we know that 1 mole of glucose reacts with 6 moles of oxygen to yield 6 moles of CO2 and 6 moles of H2O. Therefore, we can set up a proportion using the mole ratio:
1 mole of glucose / 6 moles of oxygen = x moles of glucose / (1.0×10^9) moles of oxygen
Solving for x, we find that x = (1.0×10^9) moles of glucose. To find the mass of glucose, we multiply the number of moles by the molar mass:
Mass of glucose = (1.0×10^9) moles of glucose × 180.16 g/mol = 1.8016×10^11 g