The pH of solution formed by mixing 40 mL of 0.10 M HCl and 10 mL of 0.45 M of NaOH is
Question
The pH of solution formed by mixing 40 mL of 0.10 M HCl and 10 mL of 0.45 M of NaOH is
Solution 1
To find the pH of the solution formed by mixing HCl and NaOH, we first need to determine the moles of each substance.
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Calculate the moles of HCl and NaOH:
Moles of HCl = Molarity * Volume(L) = 0.10 M * 0.040 L = 0.004 moles Moles of NaOH = Molarity * Volume(L) = 0.45 M * 0.010 L = 0.0045 moles
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Determine the limiting reactant:
Since NaOH and HCl react in a 1:1 ratio, the substance with the fewer moles will be the limiting reactant. In this case, HCl is the limiting reactant.
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Calculate the moles of NaOH remaining after the reaction:
Moles of NaOH remaining = Moles of NaOH - Moles of HCl = 0.0045 moles - 0.004 moles = 0.0005 moles
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Calculate the total volume of the solution:
Total volume = Volume of HCl + Volume of NaOH = 0.040 L + 0.010 L = 0.050 L
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Calculate the concentration of NaOH:
Concentration of NaOH = Moles of NaOH / Volume(L) = 0.0005 moles / 0.050 L = 0.01 M
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Calculate the pOH of the solution:
pOH = -log[OH-] = -log(0.01) = 2
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Calculate the pH of the solution:
pH = 14 - pOH = 14 - 2 = 12
So, the pH of the solution formed by mixing 40 mL of 0.10 M HCl and 10 mL of 0.45 M of NaOH is 12.
Solution 2
To find the pH of the solution formed by mixing HCl and NaOH, we first need to determine the moles of each substance.
-
Calculate the moles of HCl and NaOH:
Moles of HCl = Molarity * Volume(L) = 0.10 M * 0.040 L = 0.004 moles Moles of NaOH = Molarity * Volume(L) = 0.45 M * 0.010 L = 0.0045 moles
-
Determine the limiting reactant:
Since NaOH and HCl react in a 1:1 ratio, the substance with the fewer moles will be the limiting reactant. In this case, HCl is the limiting reactant.
-
Calculate the moles of NaOH remaining after the reaction:
Moles of NaOH remaining = Moles of NaOH - Moles of HCl = 0.0045 moles - 0.004 moles = 0.0005 moles
-
Calculate the total volume of the solution:
Total volume = Volume of HCl + Volume of NaOH = 0.040 L + 0.010 L = 0.050 L
-
Calculate the concentration of NaOH:
Concentration of NaOH = Moles of NaOH / Volume(L) = 0.0005 moles / 0.050 L = 0.01 M
-
Calculate the pOH of the solution:
pOH = -log[OH-] = -log(0.01) = 2
-
Calculate the pH of the solution:
pH = 14 - pOH = 14 - 2 = 12
So, the pH of the solution formed by mixing 40 mL of 0.10 M HCl and 10 mL of 0.45 M of NaOH is 12.
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