Question

40 points

I have 400 mL of a 0.2 M simple syrup solution (made up of just sugar and water) that I want to boil down to result in a solution with a concentration of 0.5 M. How many milliliters of water would I need to evaporate?

Answer 1

To concentrate a 0.2 M sugar solution to 0.5 M by boiling, you must evaporate 240 mL of water. This is calculated using the formula C1V1 = C2V2, which relates the initial and final concentrations and volumes.

Step-by-step explanation:

To calculate how many milliliters of water you need to evaporate to concentrate a sugar solution from 0.2 M to 0.5 M, you can use the formula C1V1 = C2V2, where C1 and V1 are the initial concentration and volume, and C2 and V2 are the final concentration and volume. First, rearrange the equation to solve for V2: V2 = (C1V1)/C2. Plug in your known values to get V2 = (0.2 M)(400 mL) / 0.5 M = 160 mL. This means that the final volume of the solution needs to be 160 mL to achieve a 0.5 M concentration. To find the amount of water that needs to be evaporated, subtract the final volume from the initial volume: 400 mL - 160 mL = 240 mL. Thus, you would need to evaporate 240 mL of water.