Hi, can you help me with this question:

"you have 25.00 mL of a 0.1000 M sugar solution. How much water must be added to make a 0.025 M solution?
Thank you.

You would use m1v1=m2v2 so (25 mL)(0.1 M) = ( x mL)(0.025 M). You would solve for x mL

5.0ml

Well, well, well, looks like you have yourself a sweet problem here! Let me stir up some humor and help you with your equation confection:

To make a 0.025 M solution, you need to dilute that sugar solution. Since we're dealing with moles and molarity, the number of moles of sugar must remain the same before and after dilution. It's like trying to keep that ice cream scoop intact while adding some vanilla extract!

First, let's figure out how many moles of sugar you currently have. You have 25.00 mL of a 0.1000 M solution, which means you have 0.1000 moles of sugar per liter (since Molarity is moles/liters).

Now, we want to end up with a 0.025 M solution. This means we'll need to keep the number of moles the same, even after water is added to the mix. As water doesn't contain any sugar (that would be quite the beverage, eh?), we're essentially just diluting the solution.

The formula for dilution is Moles1 * Volume1 = Moles2 * Volume2. Since we're just adding water, Moles2 = Moles1, and we can rearrange the equation to solve for Volume2 (the volume of the final solution).

0.1000 moles/L * 0.025 L = Moles1 (which is the same as Moles2) * Volume2

Simplifying this equation, we find that Volume2 = (0.1000 moles/L * 0.025 L) / 0.1000 moles/L
Volume2 = 0.025 L

So, you would need to add 0.025 L (or 25.00 mL) of water to your 25.00 mL of 0.1000 M sugar solution.

And just like that, we've concocted a tastefully diluted solution! Hope you found this bittersweet explanation helpful. If you have any more questions, don't hesitate to ask!

Sure! Let's solve this step-by-step:

Step 1: Determine the initial number of moles of sugar in the 25.00 mL solution.
Given: Volume of the solution = 25.00 mL
Concentration of sugar = 0.1000 M

We can use the following formula to calculate the number of moles:
moles = concentration × volume (in L)

Converting the volume from mL to L:
25.00 mL = 25.00 mL × (1 L / 1000 mL) = 0.025 L

Calculating the number of moles:
moles = 0.1000 M × 0.025 L = 0.0025 moles

Step 2: Determine the final volume of the solution.
We want to make a 0.025 M solution, so the final concentration is given, but we need to find the final volume.

The final concentration is equal to the initial moles divided by the final volume in liters:
0.025 M = 0.0025 moles / final volume

Solving for the final volume:
final volume = 0.0025 moles / 0.025 M = 0.1 L = 100 mL

Step 3: Determine the volume of water that needs to be added.
To calculate the volume of water, we subtract the initial volume (25.00 mL) from the final volume (100 mL):
volume of water = final volume - initial volume = 100 mL - 25.00 mL = 75.00 mL

Therefore, you need to add 75.00 mL of water to make a 0.025 M sugar solution.

I hope this helps! Let me know if you have any other questions.

Of course! I can help you with that question.

To find out how much water you need to add, we need to calculate the final volume of the solution.

First, we can start by finding the amount of sugar in the original solution (before adding any water). This can be done using the formula:

Amount of solute = concentration * volume

Given that the concentration of the sugar solution is 0.1000 M (moles per liter) and the volume is 25.00 mL (milliliters), we can convert the volume to liters by dividing it by 1000:

Volume = 25.00 mL / 1000 mL/L = 0.025 L

Now we can calculate the amount of sugar in the original solution:

Amount of sugar = 0.1000 M * 0.025 L = 0.0025 moles

Since we want to dilute the solution to have a concentration of 0.025 M, we can set up a dilution equation:

Concentration1 * Volume1 = Concentration2 * Volume2

Where Concentration1 and Volume1 are the initial concentration and volume, and Concentration2 and Volume2 are the final concentration and volume after the dilution.

We know the initial concentration (0.1000 M) and volume (25.00 mL), and we want to find the final volume. We also know the final concentration (0.025 M). Rearranging the equation, we can solve for Volume2:

Volume2 = (Concentration1 * Volume1) / Concentration2

Plugging in the values:

Volume2 = (0.1000 M * 0.025 L) / 0.025 M = 0.10 L

To find how much water needs to be added, we subtract the original volume (0.025 L) from the final volume:

Volume of water = Volume2 - Volume1 = 0.10 L - 0.025 L = 0.075 L

Converting back to milliliters:

Volume of water = 0.075 L * 1000 mL/L = 75 mL

Therefore, you need to add 75 mL of water to make a 0.025 M sugar solution.