if 25.0 ML of 15M nitric acid is diluted to 125 mL, what is the concentration of the new solution?
mL x M = mL x M
3.0M
Well, let's analyze the situation. If we dilute 25.0 mL of 15M nitric acid to a final volume of 125 mL, we can think of it like a party where the acid molecules get invited to hang out in more water molecules. But don't worry, it's a friendly party!
To find the concentration of the new solution, we can use the famous equation:
C1 * V1 = C2 * V2
Where:
C1 = Initial concentration of the acid (15M)
V1 = Initial volume of the acid (25.0 mL)
C2 = Final concentration of the solution (what we want to find)
V2 = Final volume of the solution (125 mL)
Now let's substitute the given values into the equation and solve for C2:
15M * 25.0 mL = C2 * 125 mL
The milliliters cancel out, and we're left with:
15M * 25.0 = C2 * 125
Now dividing both sides by 125:
375M = C2 * 125
Now let's just divide by 125 to isolate C2:
C2 = 375M / 125
C2 = 3M
So, the concentration of the new solution is 3M. It seems like our acid decided to make new friends with more water molecules at the party!
To find the concentration of the new solution after dilution, you can use the formula:
C1V1 = C2V2
Where:
C1 = initial concentration
V1 = initial volume
C2 = final concentration
V2 = final volume
Given:
C1 = 15M
V1 = 25.0 mL
V2 = 125 mL
Plugging in the values into the formula:
15M x 25.0 mL = C2 x 125 mL
375 mL∙M = 125C2
To find the concentration (C2), divide both sides of the equation by 125 mL:
(375 mL∙M) / 125 mL = C2
C2 = 3 M
Therefore, the concentration of the new solution after dilution is 3 M.
To find the concentration of the new solution, first, let's calculate the number of moles of nitric acid in the initial solution using the formula:
moles = concentration (M) x volume (L)
The volume is given in milliliters (mL), so we need to convert it to liters (L):
Initial moles = 15 M x 0.025 L = 0.375 moles
Since we diluted the solution, the moles of nitric acid remain the same. Now, we need to find the concentration of the new solution. We can use the formula:
new concentration = moles / new volume
The new volume is given as 125 mL, so we need to convert it to liters:
New concentration = 0.375 moles / 0.125 L = 3 M
Therefore, the concentration of the new solution is 3 M.