Answer: The molarity of NaOH solution is 0.039 M.
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Given mass of KHP = 0.3420 g
Molar mass of KHP = 204.22 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of KHP}=\frac{0.3420g}{204.22g/mol}=0.0014mol[/tex]
The chemical reaction for the formation of chromium oxide follows the equation:
[tex]KHC_6H_4O_4(aq.)+NaOH\rightarrow KNaC_6H_4O_4(aq.)+H_2O(l)[/tex]
By Stoichiometry of the reaction:
1 mole of KHP reacts with 1 mole of NaOH.
So, 0.0014 moles of KHP will react with = [tex]\frac{1}{1}\times 0.0014=0.0014mol[/tex] of NaOH.
To calculate the molarity of NaOH, we use the equation:
[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]
We are given:
Moles of NaOH = 0.0014 moles
Volume of solution = 35.73 mL = 0.03573 L (Conversion factor: 1 L = 1000 mL)
Putting values in above equation, we get:
[tex]\text{Molarity of NaOH }=\frac{0.0014mol}{0.03573L}=0.039M[/tex]
Hence, the molarity of NaOH solution is 0.039 M.