Final answer:
To find the mole fraction of NaI in the solution, we calculate the moles of NaI and water and use the mole fraction formula. The mole fraction of NaI is 0.0166.
Step-by-step explanation:
To determine the mole fraction of NaI in the solution, we need to first calculate the moles of NaI and water. The molar mass of NaI is 149.89 g/mol. To find the moles of NaI, divide the mass of NaI by its molar mass: 76.3 g / 149.89 g/mol = 0.509 mol NaI. The molar mass of water is 18.015 g/mol. To find the moles of water, divide the mass of water by its molar mass: 545 g / 18.015 g/mol = 30.253 mol H2O. The mole fraction of NaI can be calculated using the formula: mole fraction of NaI = moles of NaI / (moles of NaI + moles of water). Substituting the values, we get: 0.509 mol NaI / (0.509 mol NaI + 30.253 mol H2O) = 0.0166. Therefore, the mole fraction of NaI in the solution is 0.0166.