how do you find the molarity of NaOH if 23.64ml of its solution is needed to neutralize .5632g of KHC8H4O4?
To find the molarity of NaOH, we need to use the equation:
Molarity (M) = (moles of solute) / (volume of solution in liters).
Step 1: Calculate the number of moles of KHC8H4O4.
First, we need to find the molar mass of KHC8H4O4 (potassium hydrogen phthalate).
K: 1 atom x 39.10 g/mol = 39.10 g/mol
H: 8 atoms x 1.01 g/mol = 8.08 g/mol
C: 8 atoms x 12.01 g/mol = 96.08 g/mol
O: 4 atoms x 16.00 g/mol = 64.00 g/mol
Total molar mass = 39.10 g/mol + 8.08 g/mol + 96.08 g/mol + 64.00 g/mol = 207.26 g/mol
Next, use the given mass of KHC8H4O4 and the molar mass to find the number of moles:
moles of KHC8H4O4 = mass / molar mass
moles of KHC8H4O4 = 0.5632 g / 207.26 g/mol
Step 2: Convert the volume of solution to liters.
Given in the problem, the volume of NaOH solution is 23.64 mL. To convert this to liters, divide by 1000:
volume of solution = 23.64 mL / 1000 mL/L
Step 3: Calculate the molarity.
Molarity (M) = moles of solute / volume of solution in liters
Molarity (M) = (moles of KHC8H4O4) / (volume of solution in liters)
Plug in the values to calculate the molarity of NaOH:
Molarity (M) = (0.5632 g / 207.26 g/mol) / (23.64 mL / 1000 mL/L)
Now, perform the calculations to find the molarity.
To find the molarity of NaOH, you need to use the concept of stoichiometry and the equation balancing coefficients. Here's how you can solve this problem step by step:
Step 1: Write the balanced chemical equation for the reaction between NaOH and KHC8H4O4.
NaOH + KHC8H4O4 -> KNaC8H4O4 + H2O
Step 2: Calculate the number of moles of KHC8H4O4.
Moles of KHC8H4O4 = mass / molar mass
Moles of KHC8H4O4 = 0.5632g / molar mass of KHC8H4O4
Step 3: Calculate the number of moles of NaOH using stoichiometry.
According to the balanced chemical equation, the stoichiometric ratio between KHC8H4O4 and NaOH is 1:1. Therefore,
Moles of NaOH = Moles of KHC8H4O4
Step 4: Convert the volume of NaOH solution to liters.
Volume of NaOH solution = 23.64 ml = 23.64/1000 L
Step 5: Calculate the molarity of NaOH.
Molarity (M) = Moles of NaOH / Volume of NaOH solution
By following these steps, you can calculate the molarity of NaOH using the given information.
KHC8H4O4 + NaOH ==> NaKC8H4O4
mols KHC8H4O4 = grams/molar mass.
mols NaOH = same (Look at the coefficients in the balanced equation.)
M NaOH = mols NaOH/L NaOH