You have two beakers, one filled to the 100-mL mark with sugar (the sugar has a mass of 180.0 g) and the other filled to the 100-mL mark with water (the water has a mass of 100.0 g). You pour all the sugar and all the water together in a bigger beaker and stir until the sugar is completely dissolved. a. Which of the following is true about the mass of the solution? Explain. i. It is much greater than 280.0 g. ii. It is somewhat greater than 280.0 g. iii. It is exactly 280.0 g. iv. It is somewhat less than 280.0 g. v. It is much less than 280.0 g. b. Which of the following is true about the volume of the solution? Explain. i. It is much greater than 200.0 mL. ii. It is somewhat greater than 200.0 mL. iii. It is exactly 200.0 mL. iv. It is somewhat less than 200.0 mL. v. It is much less than 200.0 mL.

To find the mass of the solution, we add the mass of the sugar (180.0 g) and the mass of the water (100.0 g): Total mass = 180.0 g (sugar) + 100.0 g (water) = 280.0 g

Now we compare the mass of the solution (280.0 g) with the options provided: i. It is much greater than 280.0 g: The mass is exactly 280.0 g, so it is not much greater. ii. It is somewhat greater than 280.0 g: We found the mass to be exactly 280.0 g, so this is not true. iii. It is exactly 280.0 g: The mass of the solution is indeed 280.0 g, so this is true. iv. It is somewhat less than 280.0 g: Again, the mass is exactly 280.0 g. v. It is much less than 280.0 g: Not true since the mass is 280.0 g. The answer for part a is option iii: "It is exactly 280.0 g." b. Analyzing the volume of the solution

Since the sugar dissolves completely, we cannot simply add the individual volumes as they might not be additive. Thus, we cannot say for certain what the resulting volume of the solution will be.

Now let's consider how the sugar's dissolution could affect the combined volume: i. It is much greater than 200.0 mL: Unlikely, as dissolution usually leads to a decrease in volume, or a negligible increase. ii. It is somewhat greater than 200.0 mL: Possible, but dissolution typically doesn't cause a significant increase in volume. iii. It is exactly 200.0 mL: Although this may seem like a valid answer, it is not guaranteed that the combined volume will be exactly additive. iv. It is somewhat less than 200.0 mL: Quite likely, as dissolution often leads to slight volume decreases due to the sugar occupying spaces between water molecules. v. It is much less than 200.0 mL: Unlikely, as the decrease in volume should not be extremely significant. The best answer for part b is option iv: "It is somewhat less than 200.0 mL," as sugar dissolving in water typically reduces the overall volume slightly.