Which of the following relation is correct for degree of hydrolysis of `CH_(3)COONH_(4)` ?

Options

A. `h= sqrt((K_(h))/(c ))`
B. `h=sqrt((K_(a))/(K_(b)))`
C. `h=sqrt((K_(w))/(K_(a)K_(b)))`
D. `h=sqrt((K_(a)K_(b))/(K_(h)))`

Answer

C

Explanation

If x is the solubility of `Ca_(3)(PO_(4))_(2)`,
`Ca_(3)(PO_(4))_(2)hArr 3Ca^(2+)+2PO_(4)^(3-)`
`K_(sp)=[Ca^(2+)]^(3)[PO_(4)^(3-)]^(2)`
`[Ca^(2+)]=3x, PO_(4)^(3-)=2x`
`therefore K_(sp)=(3x)^(3)(2x)^(2)=108 x^(5)`