you have 20% sucrose solution. you need to mke 100ml of 15% sucrose solution. which is the correct dilution?
A. 85ml of 20% sucrose and 15ml of h2o
B. 25ml of 20% sucrose and 75ml of h2o
C. 75ml of 20% sucrose and 25ml of h2o
D. 15ml of 20% sucrose and 85ml of h2o
c1v1 = c2v2
c = concn
v = volume
20*v = 15*100
v = ? of the 20%.
If you want to get picky this won't do it. It isn't 25 mL of the 20% + 75 mL H2O; it is 25 mL of the 20% plus enough water to make 100 mL.
To solve this problem, we need to determine how much of the 20% sucrose solution and how much water we should mix together to obtain a 100ml solution with 15% sucrose concentration.
Let's break down the problem step by step:
Step 1: Determine the amount of sucrose in the final solution.
The desired 15% sucrose solution with a total volume of 100ml means that we need 15g of sucrose in the final solution.
Step 2: Calculate how much sucrose is present in the 20% sucrose solution.
A 20% sucrose solution means that 20g of sucrose is present in 100ml of solution.
Step 3: Determine the amount of water needed.
To find out the amount of water needed, we subtract the amount of sucrose solution from the desired total volume:
100ml - 100ml of sucrose solution = 0ml of water.
Step 4: Calculate the amount of 20% sucrose solution needed.
To find out the amount of 20% sucrose solution to mix, we calculate the ratio of the desired amount of sucrose to the concentration of the sucrose in the solution:
15g sucrose / 20g sucrose = 0.75.
This means we need 75ml of the 20% sucrose solution.
Based on these calculations, option C, which suggests mixing 75ml of the 20% sucrose solution with 25ml of water, is the correct dilution.