00:01
We want to know whether a precipitate will form if we dissolve 3 .5 milligrams of nacl in 0 .250 liters of 0 .12 molar pb n032.
00:12
The precipitate that would form is pbcl2, and if we write out the equation for a saturated solution of this, it would partially dissociate to pb2 plus and 2cl minus.
00:36
The ksp for pbcl2, which we can look up in the textbook, is 1 .7 times 10 to the negative 5th.
00:46
And our qsp expression is the concentration of pb2 plus times the concentration of cl minus raised to the second power because of this coefficient of 2 before the cl minus.
01:01
We want to remember that if the qsp equals the ksp, then we have a saturated solution without a precipitate.
01:23
If the qsp is greater than the ksp, we have a saturated solution with a precipitate.
01:42
And if the qsp is less than the ksp, we have an unsaturated solution, which means we have no precipitate.
02:01
This is because a greater qsp means that we have more of these ions from this qsp expression.
02:14
So the equilibrium will shift to the left by lashali's principle.
02:19
If we have a qsp that's less than the ksp, then we have less of these ions, meaning the reaction will shift to the right.
02:29
And so we won't have any of this solid precipitate.
02:32
If the qsp is equal to the ksp, then our system is in equilibrium.
02:37
So it'll be a saturated solution, but no solid precipitable form.
02:43
So now let's do the calculations so that we know which of these is true.
02:48
Starting with our concentration of pb2 plus, we can get that from our given concentration of pbno32.
02:59
So we have 0 .12 molar pbn032, and there is a one -toin ratio between pbno32 and pb, n032, and there is a one -toin ratio between pbno32 and pb...