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A solution of the primary standard potassium hydrogen phthalate, (204.22 g/mol), was prepared by dissolving 0.4877 g of in about 50 mL of water. The solution was titrated with an solution and mL were needed to reach the phenolphthalein end point. What is the molarity of the solution?

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Answer: The molarity of KOH solution is 0.0663 M.

Step-by-step explanation:

To calculate the number of moles, we use the equation:


\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

Given mass of KHP = 0.4877 g

Molar mass of KHP = 204.22 g/mol

Putting values in equation 1, we get:


\text{Moles of KHP}=(0.4877g)/(204.22g/mol)=0.0024mol

The chemical reaction for the formation of chromium oxide follows the equation:


KHC_8H_4O_4(aq.)+KOH\rightarrow K_2C_8H_4O_4(aq.)+H_2O(l)

By Stoichiometry of the reaction:

1 mole of KHP reacts with 1 mole of KOH.

So, 0.0024 moles of KHP will react with =
(1)/(1)* 0.0024=0.0024mol of KOH.

To calculate the molarity of KOH, we use the equation:


\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}

We are given:

Moles of KOH = 0.0024 moles

Volume of solution = 36.21 mL = 0.03621 L (Assuming) (Conversion factor: 1L = 1000 mL)

Putting values in above equation, we get:


\text{Molarity of KOH }=(0.0024mol)/(0.03621L)=0.0663M

Hence, the molarity of KOH solution is 0.0663 M.

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