Final answer:
To prepare 1 liter of a 0.5 molar sucrose solution, 171 grams of sucrose, with a molar mass of 342 g/mol, are required.
Step-by-step explanation:
Calculating the Amount of Sucrose Needed
To make a 0.5 molar sucrose solution, you need to know the molar mass of sucrose (C12H22O11). This can be calculated using the number of atoms of each element in sucrose and their respective atomic masses:
Carbon (C) has an atomic mass of 12 g/mol, and there are 12 Carbon atoms.
Hydrogen (H) has an atomic mass of 1 g/mol, and there are 22 Hydrogen atoms.
Oxygen (O) has an atomic mass of 16 g/mol, and there are 11 Oxygen atoms.
Calculating the molar mass of sucrose:
(12 atoms C × 12 g/mol) + (22 atoms H × 1 g/mol) + (11 atoms O × 16 g/mol) = 342 g/mol
To prepare 1 liter of a 0.5 M solution, you would need:
0.5 mol/L × 1 L × 342 g/mol = 171 grams of sucrose