25cm3 of 0.018 of potassium permanganate is pipetted into a conical flask,some dilute sulphuric acid and excess potassium iodide are then added and the liberated iodine is titrated in sodium thiosulphate of unknown concentration ,
Average titration figure is 15.6 cm3
a)write the equation for the two reactions hence find the mole ratio
b)calculate the concentration of sodium thiosulphate in moles per litre
Solution:
a)
(1): 2KMnO4 + 10KI + 8H2SO4 → 2MnSO4 + 6K2SO4 + 5I2 + 8H2O
2MnO4- + 16H+ + 10I- → 2Mn2+ + 5I2 + 8H2O
According to the equation (1): n(KMnO4)/2 = n(I2)/5
Mole ratio: n(KMnO4) : n(I2) = 2 : 5
(2): 2Na2S2O3 + I2 → Na2S4O6 + 2NaI
2S2O32- + I2 → S4O62- + 2I-
According to the equation (2): n(Na2S2O3)/2 = n(I2)
Mole ratio: n(Na2S2O3) : n(I2) = 2 : 1
n(KMnO4) : n(I2) = 2 : 5
n(Na2S2O3) : n(I2) = 2 : 1 = 10 : 5
So, the mole ratio: n(KMnO4) : n(I2) : n(Na2S2O3) = 2 : 5 : 10
b)
n(KMnO4) : n(Na2S2O3) = 2 : 10 = 1 : 5
5×n(KMnO4) = n(Na2S2O3)
5 × CM(KMnO4) × V(KMnO4) = CM(Na2S2O3) × V(Na2S2O3)
5 × (0.018 M) × (25 cm3) = CM(Na2S2O3) × (15.6 cm3)
CM(Na2S2O3) = (5 × 0.018 M × 25 cm3) / (15.6 cm3) = 0.144 M = 0.144 mol/L
CM(Na2S2O3) = 0.144 mol/L
Answers:
a)
2KMnO4 + 10KI + 8H2SO4 → 2MnSO4 + 6K2SO4 + 5I2 + 8H2O
2Na2S2O3 + I2 → Na2S4O6 + 2NaI
n(KMnO4) : n(I2) : n(Na2S2O3) = 2 : 5 : 10
b)
The concentration of sodium thiosulphate (Na2S2O3) is 0.144 mol/L
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