Answer :
Final answer:
The volume of water needed to dissolve 38.6 g of sucrose to make a 28% (w/w) solution is calculated by finding the total mass of the solution and subtracting the mass of sucrose, resulting in 99.257 mL. None of the options are correct. So, the correct answer is 99.257 mL
Explanation:
The question asks to find the volume of water needed to dissolve 38.6 g of sucrose to make a 28% (w/w) solution. To solve this, we need to calculate the total mass of the solution, which includes the mass of both the sucrose and the water. A 28% (w/w) solution means that 28 grams of sucrose is present in every 100 grams of the solution.
Using this information, we can set up the equation 38.6 g (mass of sucrose) = 0.28 x (total mass of the solution). Solving for the total mass, we get that the total mass of the solution is 38.6 g / 0.28 = 137.857 g. Now, we subtract the mass of sucrose to find the mass of water, which is 137.857 g - 38.6 g = 99.257 g. Assuming that the density of water is 1 g/mL, the volume of water needed is 99.257 mL. However, this does not exactly match any of the choices given in the question. Therefore, it is possible that there is a typo or an error in the options provided.
