In: Chemistry
Suppose 1.87g of nickel(II) bromide is dissolved in 200.mL of a 52.0mM aqueous solution of potassium carbonate. Calculate the final molarity of nickel(II) cation in the solution. You can assume the volume of the solution doesn't change when the nickel(II) bromide is dissolved in it. Be sure your answer has the correct number of significant digits. The answer is needed in M. Thank you.
Ans :-
Initial number of Moles of NiBr2= 1.87g / 118.702 g/mol = 0.01576 mol
Initial number of moles of K2CO3 = Molarity x Volume = 52.0 mM x 200.0 mL = 0.052 mo/L x 0.200 L = 0.0104 mol
ICF table is :
..........................NiBr2 (aq)..............+.............K2CO3 (aq) ------------> NiCO3 (s)............+..................2KBr (aq)
Initial (I)..............0.01576 mol.........................0.0104 mol......................0.0 mol....................................0.0 mol
Change (C)..........-0.0104 ................................-0.0104.........................+0.0104...................................+0.0104
Final (F)...............0.00536 mol..........................0.0 mol.........................0.0104 mol...............................0.0104 mol
Because NiCO3 is sparingly soluble salt (Ksp of NiCO3 = 6.6 x 10-9 ), therefore concentration of Ni2+ in NiCO3 is very very less. So, Number of moles of Ni2+ in NiCO3 can be consider as negligible.
Now,
Number of moles of Ni2+ cation in NiBr2 = 0.00536 mol
Volume = 200.0 mL
[Ni2+] = 0.00536 mol/0.200 L = 0.268 M