To determine the number of molecules in 2.00 g of glucose, we need to use the concept of moles and Avogadro's number.
The molar mass of glucose (C6H12O6) is calculated by summing the atomic masses of its constituent atoms:
Molar mass of glucose = (6 * atomic mass of carbon) + (12 * atomic mass of hydrogen) + (6 * atomic mass of oxygen)
Using the atomic masses from the periodic table:
Molar mass of glucose = (6 * 12.01 g/mol) + (12 * 1.01 g/mol) + (6 * 16.00 g/mol) = 72.06 g/mol + 12.12 g/mol + 96.00 g/mol = 180.18 g/mol
Now we can calculate the number of moles of glucose in 2.00 g using the formula:
Number of moles = Mass / Molar mass
Number of moles of glucose = 2.00 g / 180.18 g/mol ≈ 0.0111 mol
Avogadro's number tells us that 1 mole of any substance contains approximately 6.022 x 10^23 molecules. Therefore, to find the number of molecules in 0.0111 mol of glucose, we multiply the number of moles by Avogadro's number:
Number of molecules = Number of moles * Avogadro's number
Number of molecules = 0.0111 mol * 6.022 x 10^23 molecules/mol ≈ 6.7 x 10^21 molecules
So, there are approximately 6.7 x 10^21 molecules in 2.00 g of glucose.