In a volumetric analysis experiment, a solution of sodium oxalate in acidic soltuion is titrated with a solution of potassium permanganate according to the following balanced chemical equation:
2KMnO4+8H2SO4+5Na2C2O4 -> 2MnSO4+8H2O+10CO2+5Na2SO4+K2SO4
What volume of .0239 M KMnO4 is required to titrate .128 g of Na2C2O4 dissolved in 35 mL of solution?
To find the volume of KMnO4 required to titrate Na2C2O4, you need to use stoichiometry and the given molarity of KMnO4.
Let's break down the problem step by step:
Step 1: Convert the mass of Na2C2O4 to moles.
The molar mass of Na2C2O4 is:
2(Na) + 2(C) + 4(O) = 2(22.99 g/mol) + 2(12.01 g/mol) + 4(16.00 g/mol) = 134.00 g/mol
Number of moles of Na2C2O4 = mass / molar mass
Number of moles of Na2C2O4 = 0.128 g / 134.00 g/mol
Step 2: Calculate the concentration (molarity) of Na2C2O4.
The volume of Na2C2O4 is given as 35 mL, but we need it in liters:
Volume of Na2C2O4 = 35 mL * (1 L / 1000 mL)
Concentration of Na2C2O4 = moles / volume of Na2C2O4 (in liters)
Concentration of Na2C2O4 = (0.128 g / 134.00 g/mol) / (35 mL * (1 L / 1000 mL))
Step 3: Use stoichiometry to determine the ratio between Na2C2O4 and KMnO4.
From the balanced equation, you can see that the ratio between Na2C2O4 and KMnO4 is 5:2.
This means that for every 5 moles of Na2C2O4, you need 2 moles of KMnO4.
Step 4: Calculate the number of moles of KMnO4 required to titrate Na2C2O4.
Number of moles of KMnO4 = concentration of Na2C2O4 * volume of Na2C2O4 * (2 moles KMnO4 / 5 moles Na2C2O4)
Step 5: Convert moles of KMnO4 to volume using its molarity.
The molarity of KMnO4 is given as 0.0239 M.
Volume of KMnO4 = number of moles of KMnO4 / molarity of KMnO4
Now, plug in the values and calculate the volume of KMnO4 required:
Number of moles of KMnO4 = (0.128 g / 134.00 g/mol) / (35 mL * (1 L / 1000 mL)) * (2 mol KMnO4 / 5 mol Na2C2O4)
Volume of KMnO4 = (Number of moles of KMnO4) / (0.0239 mol/L)
Performing the calculations will give you the volume of KMnO4 required to titrate the given amount of Na2C2O4 dissolved in the solution.