Sucrose Solution Concentration Calculation: mM, mg/mL, and % (wt/vol)

To calculate the concentration of the sucrose solution in terms of mM, mg/mL, and % (wt/vol), we need to determine the molar mass of sucrose and convert the given mass to moles.

1. Molar mass of sucrose (C12H22O11):

• Carbon (C) has a molar mass of 12.01 g/mol.
• Hydrogen (H) has a molar mass of 1.01 g/mol.
• Oxygen (O) has a molar mass of 16.00 g/mol.

So, the molar mass of sucrose is calculated as: (12.01 x 12) + (1.01 x 22) + (16.00 x 11) = 342.3 g/mol

2. Converting mass to moles: Given mass of sucrose = 20 g Number of moles of sucrose = 20 g / 342.3 g/mol = 0.0584 mol

3. Calculating the concentration in terms of mM (millimolar): 1 L of solution contains 0.0584 mol of sucrose. So, the concentration in terms of mM is: 0.0584 mol / 1 L = 58.4 mM

4. Calculating the concentration in terms of mg/mL (milligrams per milliliter): 1 L of solution contains 20 g of sucrose. So, the concentration in terms of mg/mL is: 20 g / 1000 mL = 20 mg/mL

5. Calculating the concentration in terms of % (wt/vol): The weight of sucrose is 20 g, and the volume of the solution is 1 L. So, the concentration in terms of % (wt/vol) is: (20 g / 1 L) x 100% = 2% (wt/vol)