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Formulas for the Quantitative Analysis Experiment

1. Preparation of Standard Potassium Iodate (KIO₃) Solution (Procedure 1):

  • Molar Mass of KIO₃: To calculate the molar mass, you'd sum the atomic masses of its constituent elements: MKIO3=MK+MI+(3×MO)M_{\text{KIO}_3} = M_{\text{K}} + M_{\text{I}} + (3 \times M_{\text{O}}) Using standard atomic masses: MKIO3=39.10 g/mol+126.90 g/mol+(3×16.00 g/mol)=214.00 g/molM_{\text{KIO}_3} = 39.10 \text{ g/mol} + 126.90 \text{ g/mol} + (3 \times 16.00 \text{ g/mol}) = 214.00 \text{ g/mol}
  • Moles of KIO₃: Moles of KIO3=Mass of KIO3 (from Table 1)Molar Mass of KIO3\text{Moles of KIO}_3 = \frac{\text{Mass of KIO}_3 \text{ (from Table 1)}}{\text{Molar Mass of KIO}_3}
  • Concentration of KIO₃ solution: The solution is made up to 250 cm³. CKIO3=Moles of KIO3Volume of solution (in dm3)C_{\text{KIO}_3} = \frac{\text{Moles of KIO}_3}{\text{Volume of solution (in dm}^3)} Volume in dm3=250 cm31000 cm3/dm3=0.250 dm3\text{Volume in dm}^3 = \frac{250 \text{ cm}^3}{1000 \text{ cm}^3/\text{dm}^3} = 0.250 \text{ dm}^3

2. Standardization of Sodium Thiosulphate (Na₂S₂O₃) Solution (Procedure 2):

This involves two sequential redox reactions:

  • Reaction 1: Iodate reacts with Iodide in acidic medium to produce Iodine. IO3−(aq)+5I−(aq)+6H+(aq)→3I2(aq)+3H2O(l)\text{IO}_3^{-}\text{(aq)} + 5\text{I}^{-}\text{(aq)} + 6\text{H}^{+}\text{(aq)} \rightarrow 3\text{I}_2\text{(aq)} + 3\text{H}_2\text{O(l)}
  • Reaction 2: Iodine is then titrated with Thiosulphate. I2(aq)+2S2O32−(aq)→2I−(aq)+S4O62−(aq)\text{I}_2\text{(aq)} + 2\text{S}_2\text{O}_3^{2-}\text{(aq)} \rightarrow 2\text{I}^{-}\text{(aq)} + \text{S}_4\text{O}_6^{2-}\text{(aq)}
  • Stoichiometry: From Reaction 1, 1 mole of IO₃⁻ produces 3 moles of I₂. From Reaction 2, 1 mole of I₂ reacts with 2 moles of S₂O₃²⁻. Therefore, 1 mole of IO₃⁻ reacts with 3×2=63 \times 2 = 6 moles of S₂O₃²⁻. Moles of IO3−1=Moles of S2O32−6\frac{\text{Moles of IO}_3^{-}}{1} = \frac{\text{Moles of S}_2\text{O}_3^{2-}}{6}
  • Calculation of Concentration of Na₂S₂O₃: Moles of S2O32−=6×Moles of IO3−\text{Moles of S}_2\text{O}_3^{2-} = 6 \times \text{Moles of IO}_3^{-} CNa2S2O3×VNa2S2O3=6×CKIO3×VKIO3C_{\text{Na}_2\text{S}_2\text{O}_3} \times V_{\text{Na}_2\text{S}_2\text{O}_3} = 6 \times C_{\text{KIO}_3} \times V_{\text{KIO}_3} Where VKIO3V_{\text{KIO}_3} is the volume of KIO₃ solution used (25 cm³ = 0.025 dm³) and VNa2S2O3V_{\text{Na}_2\text{S}_2\text{O}_3} is the mean titre from Table 2. CNa2S2O3=6×CKIO3×VKIO3VNa2S2O3C_{\text{Na}_2\text{S}_2\text{O}_3} = \frac{6 \times C_{\text{KIO}_3} \times V_{\text{KIO}_3}}{V_{\text{Na}_2\text{S}_2\text{O}_3}}

3. Determination of Concentration of Copper (II) Sulphate (CuSO₄) Solution (Procedure 3):

This also involves two sequential redox reactions:

  • Reaction 1: Copper(II) ions react with Iodide to produce Iodine. 2Cu2+(aq)+4I−(aq)→2CuI(s)+I2(aq)2\text{Cu}^{2+}\text{(aq)} + 4\text{I}^{-}\text{(aq)} \rightarrow 2\text{CuI(s)} + \text{I}_2\text{(aq)}
  • Reaction 2: Iodine is then titrated with Thiosulphate. I2(aq)+2S2O32−(aq)→2I−(aq)+S4O62−(aq)\text{I}_2\text{(aq)} + 2\text{S}_2\text{O}_3^{2-}\text{(aq)} \rightarrow 2\text{I}^{-}\text{(aq)} + \text{S}_4\text{O}_6^{2-}\text{(aq)}
  • Stoichiometry: From Reaction 1, 2 moles of Cu²⁺ produce 1 mole of I₂. From Reaction 2, 1 mole of I₂ reacts with 2 moles of S₂O₃²⁻. Therefore, 2 moles of Cu²⁺ react with 2 moles of S₂O₃²⁻, which simplifies to a 1:1 molar ratio.
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