The solution weighs 17.775 grams.
This weight is determined by considering the mass of magnesium nitrate (the solute) dissolved in a specific amount of water (the solvent).
To find this weight, we look at the mass of magnesium nitrate, given as 17.3 grams, and the final volume of the solution, which is 475 milliliters.
To calculate the solution's weight, we convert the volume from milliliters to grams using the density of water (1 g/mL).
First, we convert 475 mL to liters, resulting in 0.475 L. Then, by using the density, we find the mass of the water to be 0.475 grams.
Finally, we determine the total weight of the solution by adding the mass of magnesium nitrate to the mass of the water: 17.3 g + 0.475 g, which equals the overall weight of the solution as 17.775 grams.