Question

The correct relation between $ {K_{sp}} $ and solubility for the salt, $ K\,Al{(S{O_4})_2} $ is:
A. $ 4{s^4} $
B. $ 27{s^4} $
C. $ 108{s^5} $
D. none of these

Answer 1

Hint :In order to this question, to know the relation between $ {K_{sp}} $ and solubility for the salt, $ K\,Al{(S{O_4})_2} $ , we should first write the formula of $ {K_{sp}} $ and then put the given values in the formula from the given compound.

Complete Step By Step Answer:
As we know that,
 $ {K_{sp}} = {x^x}{y^y}{s^{(x + y)}} $
For our question-
 $ K\,Al{(S{O_4})_2} \Rightarrow K^+ \;+\; Al^{+3}\; 2SO_4{-2} $

	$K\,Al{(S{O_4})_2}$	$K^+$	$Al^{+3}$	$2SO_4{-2}$
Initial	-	-	-	-
At Equilibrium	-	s	s	2s

$ {K_{sp}} = [K^+] \; [Al^{+3}] \; [SO_4^{-2}]^2$
$\Rightarrow {K_{sp}} =(s)(s)(2s)^2 = 4s^4$
The solubility product is a kind of equilibrium constant and its value depends on temperature. $ {K_{sp}} $ usually increases with an increase in temperature due to increased solubility. Solubility is defined as a property of a substance called solute to get dissolved in a solvent in order to form a solution.
Hence, the correct option is (A).

Note :
 $ {K_{sp}} $ usually increases with an increase in temperature due to increased solubility. Solubility is defined as a property of a substance called solute to get dissolved in a solvent in order to form a solution.