Calculate the molarity of s2o32− if 3.0 ml 0.10 m k2s2o8, 2.0 ml 0.10 m k2so4, 1.0 ml 2% starch, 2.0 ml 0.010 m na2s2o3, and 5.0 ml 0.20 m ki are mixed.
Calculate the moles of S2O3 you have, that is the concentration of Na2S2O3 * the volume in L
Add up all the volumes, convert to L
Divide moles by the volume in L.
Answer: 0.0015 M
Explanation:
First, rewrite the species, amounts and the concentrations for better understanding:
Now you must use two basic assumptions:
Na₂S₂O₃ → 2Na⁺ + S₂O₃²⁻
That means that all the S₂O₃²⁻ comes from the 2.0 ml 0.010 M (molar) Na₂S₂O₃, and every mol of Na₂S₂O₃ yields 1 mol of S₂O₃²⁻.
And follow these steps:
1) Number of moles of S₂O₃²⁻
a) Molarity formula: M = n / V (in liters)
b) Clear n: n = M × V (in liters)
c) Substitute the numbers: n = 0.01 M × 2.0 ml × 0.001 liter/ml = 0.00002 moles
2) Volume of solution:
a) Add the volumes of all the solutions given:
V = 3.0 ml + 2.0 ml + 1.0 ml + 2.0 ml + 5.0 ml = 13.0 ml
b) Convert to liters: 13.0 ml / 1000 (ml / liter) = 0.013 liter
c) Calculate M (molarity)
M = n / V (in liter) = 0.00002 moles / 0.013 liter = 0.0015 M