What is the concentration (M) of K+ in a solution made by mixing 25.0 mL of 0.100 M KCl with 50.0 mL of 0.0500 M KCl?

Can you please explain how to solve this problem.
I thought to do 25*.1+50*.05=5
But that seems wrong. What should I try to do?

25*.1 + 50*.05 = (25+50)*x

Where did you get that 5?

To solve this problem, we need to consider the concept of molarity (M) and the principle of dilution.

Molarity (M) is defined as the number of moles of solute dissolved in one liter of solution. It is calculated by dividing the amount of solute (in moles) by the volume of the solution (in liters).

First, we need to find the moles of K+ in each solution before mixing them.

The molarity (M) is given for each solution, so we can directly calculate the moles of K+ in each solution using the formula:

Moles = Molarity x Volume (in liters)

For the first solution:
Moles of K+ = 0.100 M x 0.025 L = 0.0025 moles

For the second solution:
Moles of K+ = 0.0500 M x 0.050 L = 0.0025 moles

Next, we need to calculate the total moles of K+ in the mixture by adding the moles from both solutions:

Total moles of K+ = Moles from first solution + Moles from second solution
= 0.0025 moles + 0.0025 moles
= 0.0050 moles

Now we need to find the final volume of the mixed solution. To do this, simply add the volumes of the two solutions:

Final volume = Volume of first solution + Volume of second solution
= 0.025 L + 0.050 L
= 0.075 L

Finally, we can calculate the concentration (M) of K+ in the mixed solution:

Concentration of K+ = Total moles of K+ / Final volume
= 0.0050 moles / 0.075 L
= 0.0667 M

So, the concentration (M) of K+ in the solution made by mixing 25.0 mL of 0.100 M KCl with 50.0 mL of 0.0500 M KCl is approximately 0.0667 M.

25/1000*0.1=0.025 mole Kcl

50/1000*0.05=0.025 mole Kcl

1 mole KCl-39g K+

0.025 moleKCl- 0.975g K+

0.975/74.5=0.013

total mole=0.013*2=0.026

total volume=0.025+0.05=0.075

Concentration K+=mole/volume

concentration=0.026/0.075

=0.35M

pardon me

25/1000*0.1=0.025 mole Kcl

50/1000*0.05=0.025 mole Kcl

1 mole KCl-39g K+

0.025 moleKCl- 0.975g K+

0.975/39=0.025

total mole=0.025*2=0.05

total volume=0.025+0.05=0.075

Concentration K+=mole/volume

concentration=0.05/0.075

=0.67M