Final answer:
The concentration of sucrose in the solution is approximately 0.2494 M.
Step-by-step explanation:
The concentration of sucrose in the solution can be calculated using the formula:
Concentration (M) = moles of solute / volume of solution (L)
First, we need to convert the mass of sucrose to moles using the molar mass:
Moles of sucrose = mass of sucrose / molar mass
Moles of sucrose = 42.7 g / 342.3 g/mol
Moles of sucrose = 0.1247 mol
Next, we need to convert the volume of the solution to liters:
Volume of solution = 500.0 mL * 1 L/1000 mL = 0.5 L
Finally, we can calculate the concentration of sucrose:
Concentration = 0.1247 mol / 0.5 L = 0.2494 M
Therefore, the concentration of sucrose in the solution is approximately 0.2494 M.