Answer:
95.5 g/mol
Step-by-step explanation:
To find the molar mass of the solute, we need to first calculate the number of moles of the solute in the solution.
Number of moles of solute = concentration x volume
We are given the concentration (0.400 m) and the volume (500 grams) of the solution, but we need to convert the mass of water to volume. We can do this using the density of water:
Density of water = 1 g/mL
Volume of water = mass of water / density of water = 500 g / 1 g/mL = 500 mL
Now we can calculate the number of moles of solute:
Number of moles of solute = 0.400 m x 500 mL = 200 mmol
Next, we need to find the mass of the solute:
Mass of solute = number of moles x molar mass
We are given the number of moles (200 mmol), so we can rearrange the equation to solve for the molar mass:
Molar mass = mass of solute / number of moles
Molar mass = 19.10 g / 200 mmol = 95.5 g/mol
Therefore, the molar mass of the solute is 95.5 g/mol.
Hopes this helps