In: Chemistry
What concentration of Br– results when 757 mL of 0.767 M KBr is mixed with 741 mL of 0.481 M FeBr2?
Ans. Both KBr and FeBr2 dissociate into their respective ions when dissolved inn water.
I. KBr (s) ------> K+(aq) + Br-(aq)
Stoichiometry: 1 mol KBr gives 1 mol Br-
II. FeBr2(s) ------> Fe2+(aq) + 2 Br-(aq)
Stoichiometry: 1 mol KBr gives 2 mol Br-
So,
Total moles of Br- = Moles of KBr + (2 x moles of FeBr2)
Now,
A. Moles of KBr = Molarity of KBr solution x Its volume (in Liters)
= 0.767 M x 0.757 L ; [1 L = 1000 mL]
= (0.767 mol/ L) x 0.757 L ; [M = mol/ L]
= 0.580619 mol
B. Moles of FeBr2 = 2 x [ Molarity of FeBr2 solution x Its volume (in Liters) ]
= 2 x (0.481 M x 0.741 L)
= 0.712842 mol
Thus,
total moles of Br- = 0.580619 mol (from KBr) + 0.712842 mol (from FeBr2)
= 1.293461 mol
Final volume of mixed solution = 757 mL (of KBr soln.) + 741 mL (of FeBr2 soln.)
= 1498 mL
= 1.498 L
Final Br- molarity in mixed solution =
Total moles of Br- / Total volume (in L) of mixed solution
= 1.293461 mol / 1.498 L
= 0.863 mol/ L
= 0.863 M