3.5 gm of solid Barium fluoride is added to water forming 1 lit of solution at . Solubility product of
the salt is . What will be the minimum volume of water (in litres) to be added to above solution to
dissolve the salt completely.
( At. Wt. of Ba =137, F= 19)
Answers
Given:
3.5gm of solid Barium fluoride is added to water formng 1l solution at 25 deg C. Solubility product of salt is 4.6*10-6. ( atomic wt of Ba = 137 and F-19)
To find:
What wil be the minimum volume of water to be added to above solution to dissolve the salt completely.
Solution:
From given, we have,
3.5gm of solid Barium fluoride is added to water forming 1l solution at 25 deg C. Solubility product of salt is 4.6*10-6. ( atomic wt of Ba = 137 and F-19)
For the complete dissolution of the salt,
Ksp = [Ba2+] [F-1]2
Let S mol / L be the solubility of the salt, then
Ksp = S3 = 4.6 × 10-6 ,
or S = 1.66 × 10-2 M
Let V litre of the water is added for making the saturated solution,
Now the molar mass of the substance
= 137 + 2 × 19 = 175 gm / mol
Initial no. of moles = 3.5 / 175 = 0.02
Using the molarity equation,
Initial no. of moles of the salt = no. of moles of the salt in solution
0.02 = 1.66 × 10-2 × V
V = 1.2 L
The minimum litres of water is 1.2 l.