Calculate the molarity of the solution produced by mixing (a) 50.0 ml of 0.200 M NaCl

and 100.0 ml of 0.100 M NaCl;

moles NaCl soln 1 = M x L.

moles NaCl soln 2 = M x L
M of total = total moles/total L.

To calculate the molarity of the solution produced by mixing the two solutions, we will first calculate the total moles of NaCl present in each solution separately. Then we will add those moles together and divide by the total volume to find the molarity.

Step 1: Calculate the moles of NaCl in the first solution.
Molarity (M) = Moles (mol) / Volume (L)
Given:
Volume = 50.0 mL = 0.0500 L
Molarity = 0.200 M

Using the equation:
Moles = Molarity × Volume
Moles = 0.200 M × 0.0500 L
Moles = 0.0100 mol

Step 2: Calculate the moles of NaCl in the second solution.
Given:
Volume = 100.0 mL = 0.100 L
Molarity = 0.100 M

Using the equation:
Moles = Molarity × Volume
Moles = 0.100 M × 0.100 L
Moles = 0.0100 mol

Step 3: Add the moles from both solutions together.
Total moles of NaCl = moles from first solution + moles from second solution
Total moles of NaCl = 0.0100 mol + 0.0100 mol
Total moles of NaCl = 0.0200 mol

Step 4: Calculate the total volume of the solution.
Given:
Volume of first solution = 0.0500 L
Volume of second solution = 0.100 L

Total volume = Volume of first solution + Volume of second solution
Total volume = 0.0500 L + 0.100 L
Total volume = 0.150 L

Step 5: Calculate the molarity of the solution.
Molarity = Moles / Volume
Molarity = 0.0200 mol / 0.150 L
Molarity = 0.133 M

The molarity of the solution produced by mixing 50.0 mL of 0.200 M NaCl and 100.0 mL of 0.100 M NaCl is 0.133 M.

To calculate the molarity of a solution produced by mixing two solutions, you need to combine the volumes and concentrations of the individual solutions. Here's how you can calculate the molarity for the given problem:

1. Calculate the total volume of the mixed solution:
V_total = V1 + V2 = 50.0 mL + 100.0 mL = 150.0 mL

2. Calculate the total moles of NaCl in the mixed solution:
Moles_total = (M1 * V1) + (M2 * V2)
Moles_total = (0.200 M * 50.0 mL) + (0.100 M * 100.0 mL)

To do this calculation, you need to convert the volumes to liters:
Moles_total = (0.200 M * 0.050 L) + (0.100 M * 0.100 L)

3. Calculate the molarity (M) of the mixed solution:
Molarity_total = Moles_total / V_total

Divide the moles by the volume in liters:
Molarity_total = Moles_total / (150.0 mL / 1000 mL/L)

Now, you can substitute the values into the equation:
Molarity_total = (M1 * V1 + M2 * V2) / V_total

Molarity_total = (0.200 M * 0.050 L + 0.100 M * 0.100 L) / (150.0 mL / 1000 mL/L)

Simplify the calculation:
Molarity_total = (0.0100 mol + 0.0100 mol) / (0.150 L)

Molarity_total = 0.0667 M

Therefore, the molarity of the solution produced by mixing 50.0 mL of 0.200 M NaCl and 100.0 mL of 0.100 M NaCl is 0.0667 M.