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Q.

If the solubility products of AgCl and AgBr are 1.2 × 10–10  and 3.5 × 10–13  respectively, then the relation between the solubilities (denoted by the symbol ‘S’) of these salts can correctly be represented as

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a

S of is AgBr greater than that of AgCl

b

S of  is AgBr times greater than that of AgCl

c

S of is AgBr less than that of AgCl

d

 S of  is AgBr equal to that of AgCl

answer is A.

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Detailed Solution

\large \large AgCl\left( s \right) \rightleftharpoons \mathop {AgCl}\limits_{S_1} \left( {aq} \right)\xrightarrow{{}}\mathop {A{g^ + }}\limits_{S_1} \left( {aq} \right) + \mathop {C{l^ - }}\limits_{S_1} \left( {aq} \right)

Ksp = S1 x S1

⇒ 1.2 x10-10 =s12

 

\large \large \large AgBr\left( s \right) \rightleftharpoons \mathop {AgBr}\limits_{S_2} \left( {aq} \right)\xrightarrow{{}}\mathop {A{g^ + }}\limits_{S_2} \left( {aq} \right) + \mathop {B{r^ - }}\limits_{S_2} \left( {aq} \right)

Ksp = S2 x S2

⇒ 3.5 x10-13 =s22

By observation, S1 > S2

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