What is the mass of sucrose in a 200 mL Kool-Aid drink with a molarity of 0.365 M?

To calculate the mass of sucrose in 200 mL of Kool-Aid with a molarity of 0.365 M, we can follow these steps:

1. Calculate the number of moles of sucrose: Molarity (M) is defined as the number of moles of solute per liter of solution. To find the number of moles in 200 mL (which is 0.200 L), we use the formula:

Moles of sucrose = Molarity × Volume (L) = 0.365 moles/L × 0.200 L = 0.073 moles

2. Convert moles to grams: Next, we need to convert the moles of sucrose to grams. The molar mass of sucrose (C₁₂H₂₂O₁₁) can be calculated as follows:

 (12 × 12.01 g/mol) + (22 × 1.01 g/mol) + (11 × 16.00 g/mol) = 342.30 g/mol

3. Calculate the mass: Now, we can calculate the mass of sucrose using the number of moles and the molar mass:

Mass of sucrose = Moles × Molar mass = 0.073 moles × 342.30 g/mol = 25.00 g

Therefore, the mass of sucrose in 200 mL of Kool-Aid drink is approximately 25.00 grams.