Final answer:
To find the mass of each component in the solution, we can use the mole fraction and the total mass of the solution. The mole fraction of methanol is 0.270, which means that 27% of the solution is composed of methanol.
Step-by-step explanation:
To find the mass of each component in the solution, we can use the mole fraction and the total mass of the solution. The mole fraction of methanol is 0.270, which means that 27% of the solution is composed of methanol. We know that the total mass of the solution is 51.0 g, so we can calculate the mass of methanol and water using their respective mole fractions:
Mass of methanol = Mole fraction of methanol * Total mass of solution
Mass of methanol = 0.270 * 51.0 g = 13.77 g
Mass of water = (1 - Mole fraction of methanol) * Total mass of solution
Mass of water = (1 - 0.270) * 51.0 g = 37.23 g