how do you solve a dilution problem, this is chemistry

The standard way is to figure the moles you need in the new volume, subtract the moles you have (volume*Molarity), then add the grams of solute to the solution, add solvent to the specified volume, stir, label, and store appropriately.

Here is my favorite way.
Example1. You have 20 ml of 5MHCl, and want 500ml of .20M HCl.

ok, you are diluting it 5/.2or 25 times. you have to add one part original solution, and 24 parts water.

25 parts into 500ml is each part is 20ml. So add 20 ml of the original solution (1 Part), and 24 parts (480ml) water. STir, label, store appropriately.

Example2.
You have 4M CuSO4(aq). YOu want 315ml of .56M solution.
Ok, you are diluting it 4/.56=7.143 times. You must add on part original, and 6.143 water.
315ml into 7.143 parts is 44.1ml per part. So add 44.1ml original solution, add six 6.143 parts water (6.143*44.1=270.9 ml)
check: 270.9+44.1=315ml
Practice makes perfect.

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To solve a dilution problem in chemistry, you'll need to use the dilution formula. The dilution formula is:

C1V1 = C2V2

Where:
C1 = initial concentration of the solution
V1 = initial volume of the solution
C2 = final concentration of the solution
V2 = final volume of the solution

To solve the problem, follow these steps:

1. Identify and write down the known values. Determine which quantities are given and which are unknown. Make sure to use consistent units for concentration (usually moles per liter) and volume (usually liters).

2. Substitute the known values into the dilution formula. This will give you an equation with one unknown variable.

3. Rearrange the dilution formula to solve for the unknown variable. If the unknown is on the right-hand side of the equation, divide both sides by the coefficient of the unknown variable to isolate it.

4. Calculate the unknown variable. Plug in the known values and solve for the unknown. Make sure to perform any necessary unit conversions.

5. Double-check your answer and include appropriate units. Verify that your answer is realistic and has the correct units.

Remember to always pay attention to units and be cautious when dealing with significant figures throughout the calculation.

I hope this helps! If you have a specific example or any further questions, feel free to ask.