2 M of 100 ml sodium sulphate is mixed with 3 M of 100 ml sodium chloride solution and 1 M of 200 ml calcium chloride solution then the ratio of concentration of cation and anion is
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Solution
Solution 1 : Na2SO4 Na2SO4 → 2Na+ + SO42- Molarity of Na2SO4 = 2 M Concentration of Na+ = 2 (2) M = 4 M in 100 ml Number of moles of Na+ = Molarity x Volume (L) = 4 x (100/1000) = 0.4 mol of Na+
Concentration of SO42- = 2 M in 100 ml Number of moles of SO42- = Molarity x Volume (L) = 2 x (100/1000) = 0.2 mol of SO42-
Solution 2 : NaCl NaCl → Na+ + Cl-
Concentration of Na+ in 100 ml NaCl = 3 M in 100 ml Number of moles of Na+ = Molarity x Volume (L) = 3 x (100/1000) = 0.3 mol of Na+
Concentration of Cl- in NaCl = 3 M in 100 ml Number of moles = Molarity x Volume (L) = 3 x (100/1000) = 0.3 mol of Cl-
Note-Actually calcium exist in the form of chloride as CaCl2 but according to the given details of your question it is CaCl
CaCl2 → Ca2+ + 2Cl-
Concentration of Ca2+ = 1 M in 200 ml Number of moles of Ca2+ = Molarity x Volume (L) =1 x (200/1000) = 0.2 mol of Ca2+
Concentration of Cl- in 200 ml of CaCl2 = 2 M in 200 ml Number of moles of Cl- = Molarity x Volume (L) = 2 x (200/1000) = 0.4 mol of Cl-
Therefore,
Total concentration of cation = 0.4 + 0.3 + 0.2 = 0.9 mol of Cation Total concentration of anion= 0.2 + 0.3 + 0.4 = 0.9 mol of Anion
Answer- Ratio of the concentration of cation and anion = 0.9/0.9 = 1