Answer: The solubility of
in water is
![1.18* 10^(-7)mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/wmhdo4xo5i2rlgnyk80rhfqshg6jpizooy.png)
Step-by-step explanation:
The balanced equilibrium reaction for the ionization of cadmium phosphate follows:
![Cd_3(PO_4)_2\rightleftharpoons 3Cd^(2+)+2PO_4^(3-)](https://img.qammunity.org/2020/formulas/chemistry/college/4ra1jng6dndnwvn6sl0eb3q2jv6rwruj6v.png)
3s 2s
The expression for solubility constant for this reaction will be:
![K_(sp)=[Cd^(2+)]^3[PO_4^(3-)]^2](https://img.qammunity.org/2020/formulas/chemistry/college/wa9ayv3hbchlb2xvve92idajw0nq1dypv3.png)
We are given:
![K_(sp)=2.5* 10^(-33)](https://img.qammunity.org/2020/formulas/chemistry/college/fvjywyf08vjtofsyh9tdhu1r005smefp3o.png)
Putting values in above equation, we get:
![2.5* 10^(-33)=(3s)^3* (2s)^2\\\\2.5* 10^(-33)=108s^5\\\\s=1.18* 10^(-7)mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/shsi7lpvlppalnd5ftctwjkkbgtdwjex7d.png)
Hence, the solubility of
in water is
![1.18* 10^(-7)mol/L](https://img.qammunity.org/2020/formulas/chemistry/college/wmhdo4xo5i2rlgnyk80rhfqshg6jpizooy.png)