Starting with the information provided:
You have a solution with a concentration of 0.400 M (moles per liter) of glucose (C6H12O6).
The volume of the solution is 0.500 L.
Let's break down the calculations step by step:
Moles of Glucose (C6H12O6):
Moles = Concentration (M) × Volume (L)
Moles = 0.400 mol/L × 0.500 L
Moles = 0.200 moles
Molar Mass of Glucose:
The molar mass of glucose (C6H12O6) is approximately 180.18 g/mol.
Mass of Glucose:
Mass = Moles × Molar Mass
Mass = 0.200 moles × 180.18 g/mol
Mass = 36.036 g (rounded to three decimal places)
Avogadro's Number:
Avogadro's number is approximately 6.022 × 10^23 particles/mol.
Number of Glucose Molecules:
Number of molecules = Moles × Avogadro's Number
Number of molecules = 0.200 moles × 6.022 × 10^23 molecules/mol
Number of molecules = 1.2044 × 10^23 molecules
Please note that the numbers in your calculations seem to be a mix of various units and factors. I've attempted to interpret and calculate based on the given context. If you have any specific questions about the calculations or need further clarification, please let me know!