Calculating the Molarity of the Solution

To find the molarity of the solution obtained by mixing 100 mL of 0.2 M H2SO4 with 50 mL of 0.1 M HCl, we need to consider the volume and concentration of each solution.

Step 1: Calculate the moles of H2SO4
The given volume of H2SO4 is 100 mL, and its concentration is 0.2 M. To find the moles of H2SO4, we can use the formula:

Moles = Volume (L) * Concentration (M)

Converting the volume from milliliters to liters:
Volume (L) = 100 mL * (1 L / 1000 mL) = 0.1 L

Now, substituting the values into the formula:
Moles of H2SO4 = 0.1 L * 0.2 M = 0.02 moles

Step 2: Calculate the moles of HCl
The given volume of HCl is 50 mL, and its concentration is 0.1 M. Following the same process as above, we can calculate the moles of HCl:

Converting the volume from milliliters to liters:
Volume (L) = 50 mL * (1 L / 1000 mL) = 0.05 L

Now, substituting the values into the formula:
Moles of HCl = 0.05 L * 0.1 M = 0.005 moles

Step 3: Calculate the total moles of the solution
Since H2SO4 and HCl are both strong acids, they completely ionize in water. Therefore, the moles of H2SO4 and HCl will be equal to the moles of H+ ions.

Total moles of the solution = Moles of H2SO4 + Moles of HCl
Total moles of the solution = 0.02 moles + 0.005 moles = 0.025 moles

Step 4: Calculate the total volume of the solution
To calculate the total volume of the solution, we need to add the volumes of H2SO4 and HCl:

Total volume of the solution = Volume of H2SO4 + Volume of HCl
Total volume of the solution = 100 mL + 50 mL = 150 mL = 0.15 L

Step 5: Calculate the molarity
The molarity of a solution is given by the formula:

Molarity (M) = Moles of solute / Volume of solution (L)

Substituting the values into the formula:
Molarity = 0.025 moles / 0.15 L = 0.1667 M

Therefore, the molarity of the solution obtained by mixing 100 mL of 0.2 M H2SO4 with 50 mL of 0.1 M HCl is 0.1667 M.