Final answer:
To prepare a 0.675 M solution of sodium iodide in 500 mL, 0.3375 mol of NaI is required. This corresponds to 50.6 g when using the molar mass of NaI (149.89 g/mol).
Step-by-step explanation:
To calculate the mass of sodium iodide (NaI) needed to prepare a 0.675 M solution, we must first determine the number of moles of NaI required and then convert that amount to grams. The formula for molarity (M) is:
M = moles of solute / volume of solution in liters
Rearranging the formula to solve for moles:
moles of solute = M × volume of solution in liters
For the given molarity and volume:
moles of NaI = 0.675 M × 0.500 L = 0.3375 mol
Next, we convert moles to grams using the molar mass of NaI (approximately 149.89 g/mol):
mass of NaI = moles of NaI × molar mass of NaI
mass of NaI = 0.3375 mol × 149.89 g/mol = 50.6 g
Therefore, 50.6 g of NaI is needed to prepare 500 mL of a 0.675 M solution, making option (b) the correct answer.