Final answer:
To find the number of moles of sucrose from the given number of molecules (2.05 X 10²²), divide by Avogadro's number (6.022 X 10²³), resulting in approximately 0.034 moles.
Step-by-step explanation:
To calculate the number of moles of sucrose in a sample that contains 2.05 X 10²² sucrose molecules, we use Avogadro's number, which is 6.022 X 10²³ molecules per mole. By dividing the number of molecules by Avogadro's number, we can find the number of moles.
Number of moles = Number of molecules / Avogadro's number = 2.05 X 10²² molecules / 6.022 X 10²³ molecules per mole.
After performing the calculation:
Number of moles = 0.034 moles (rounded to three significant figures).
This result is consistent with our rough estimate.