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}}](https://img.qammunity.org/2020/formulas/chemistry/high-school/gwh5prgbdt4s2p8o8xquycz897bwt6lvw1.png)
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](https://img.qammunity.org/2020/formulas/chemistry/college/t7s8ur19zp9qg2sl4rhuyorso78tux7dtc.png)
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)](https://img.qammunity.org/2020/formulas/chemistry/college/vgzs7qu6czwlkfbq5d0hjywvy4aefujblx.png)
By Stoichiometry of the reaction:
1 mole of KHP reacts with 1 mole of KOH.
So, 0.0024 moles of KHP will react with =
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)}}](https://img.qammunity.org/2020/formulas/chemistry/high-school/zir2p95jfu0c9nqbmfni6xkgab3q30b5je.png)
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](https://img.qammunity.org/2020/formulas/chemistry/college/51xi0ogc1s6aqn2sntbbq7jbjhajk3wgvb.png)
Hence, the molarity of KOH solution is 0.0663 M.