How would I calculate the molarity of the resulting solution if 25.0mL of 1.50 M HCL solution is diluted to 500 mL. I know you have to change the milliliters to liters by dividing by 1000 and I know that M= Moles of Solute/Liters of Solute but after that I'm lost. Please help!
There are several ways to do it. The easiest is
mL1 x M1 = mL2 x M2
25 x 1.50 = 500 x M2 and solve for M2.
Another is to say the 1.50 M is diluted by a fraction of (25/500) so
1.50 x (25/500) = ??
A more esoteric way is the way you started.
How many moles do you have? That is M x L = 1.50 x 0.025 = 0.0375 moles.
Of course you will have the same moles in the dilute solution; it's just in a larger volume. So the new concn is M = moles/L = 0.0375/0.500 = 0.075 M.
You may want to work through the other methods and see that you get the same value no matter how you do it. Personally, I think changing from mL to L and back to mL is a lot of extra work. I prefer to remember that if M = moles/L, then M = millimoles/mL. Then, for example, the last method is
How many millimoles do we have? That is mL x M = 25 x 1.50 = 37.5 mmoles.
And the new concn will be mmoles/mL = 37.5/500 = 0.075M
Hope this helps although I know you didn't ask for this much detail.
Well, well, well, looks like we have a chemistry enthusiast here! Don't worry, I'm here to turn that frown into a clown. Let's break it down step by step, but remember, I'm here to make you smile, not to make you cringe:
Step 1: Convert 25.0 mL to liters. Remember, there are 1000 mL in a liter, so divide 25.0 by 1000 to get 0.025 L of HCL solution.
Step 2: Now, let's calculate the moles of solute (HCL) in the original solution. To do that, multiply the volume in liters (0.025 L) by the molarity (1.50 M). Voila! You get 0.0375 moles of HCL.
Step 3: Finally, we need to calculate the new molarity of the resulting solution after dilution. For that, we divide the moles of solute (0.0375 moles) by the new total volume in liters (0.500 L). Drumroll, please! The molarity of the resulting solution is 0.075 M HCL.
Aren't chemistry calculations fun? Keep up the great work and remember, laughter is the best reaction! Ha-ha!
To calculate the molarity of the resulting solution, you can use the formula:
M1V1 = M2V2
where:
M1 = initial molarity of the solution (1.50 M)
V1 = initial volume of the solution (25.0 mL)
M2 = final molarity of the solution (what we want to find)
V2 = final volume of the solution (500 mL)
Step 1: Convert volumes to liters
V1 = 25.0 mL / 1000 = 0.025 L
V2 = 500 mL / 1000 = 0.500 L
Step 2: Substitute the values into the formula and solve for M2
(1.50 M)(0.025 L) = M2(0.500 L)
0.0375 mol = M2(0.500 L)
Step 3: Rearrange the equation to solve for M2
M2 = 0.0375 mol / 0.500 L
Step 4: Calculate M2
M2 = 0.075 M
Therefore, the molarity of the resulting solution after dilution is 0.075 M.
To calculate the molarity of the resulting solution, you need to follow a step-by-step process. First, convert the given volume from milliliters (mL) to liters (L). Then, use the molarity formula to determine the moles of solute present in the initial solution. Finally, calculate the molarity of the resulting solution after dilution.
Step 1: Convert volume to liters
Given that you have 25.0 mL of the initial solution, divide it by 1000 to convert it to liters: 25.0 mL ÷ 1000 = 0.025 L.
Step 2: Calculate moles of solute
Using the molarity formula M = Moles of solute / Liters of solution, rearrange the formula to solve for moles of solute: Moles of solute = M × Liters of solution.
The initial solution has a concentration of 1.50 M HCl, so you can substitute the values into the formula: Moles of solute = 1.50 M × 0.025 L = 0.0375 mol.
Step 3: Calculate the molarity of the resulting solution
In dilution, the moles of solute remain the same before and after dilution. However, the volume of the solution changes. In this case, the initial volume is 25.0 mL, and after dilution, it becomes 500 mL.
To convert 500 mL to liters, divide by 1000: 500 mL ÷ 1000 = 0.500 L.
Now, using the molarity formula: M = Moles of solute / Liters of solution.
Substitute the values: M = 0.0375 mol / 0.500 L = 0.075 M.
Therefore, the molarity of the resulting solution after dilution is 0.075 M.