Compare Solubility of Silver Phosphate in Different Solutions

240320 question

The dissociation of silver phosphate and solubility product expression is written as follows:

240320 ksp of ag3po4

We need to calculate solubility of silver phosphate in different scenarios.

Let x be the solubility in each case.

A. Pure water

This is a straightforward dissolving of silver phosphate to give a saturated solution.

240320 A dissociation

[Ag+] = 3x and [PO43-] = x

We can substitute these into Ksp expression and solve for x.

240320 A calculation

Solubility x = 4.26 x 10-5

B. 0.10 mol dm-3 AgNO3

AgNO3 will also contribute Ag+ into solution hence Ag+ is the common ion.

240320 B dissociation

Total [Ag+] is approximated to 0.10 mol dm-3 and [PO43-] = x

Substitute into Ksp to solve for x.

240320 B calculation

Solubility x = 8.89 x 10-14

Notice presence of common ion will suppress solubility. This is also known as the common ion effect.

C. 0.10 mol dm-3 NH3

Ammonia will form diammine silver complex with Ag+.

240320 C dissociation

[Ag+] will decrease and POE for dissociation of Ag3PO4 will shift to the right.

240320 C shift in POE

Hence solubility will increase.

D. 0.10 mol dm-3 Na3PO4

Na3PO4 will contribute PO43- into solution so PO43- is the common ion in this case.

240320 D dissociation

[Ag+] = 3x and total [PO43-] is approximated to 0.10 mol dm-3.

Substitute into Ksp to solve for x.

240320 D calculation

Solubility x = 3.21 x 10-6

Finally we can compare our answers to determine the lowest solubility which is option B.

240320 answer

Topic: Solubility Product, Physical Chemistry, A Level Chemistry, Singapore

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