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Question: Let the solubilities of AgCl in pure water, 0.01 M CaCl<sub>2</sub>, 0.01 M NaCl& 0.05 M AgNO3 be s1...

Let the solubilities of AgCl in pure water, 0.01 M CaCl2, 0.01 M NaCl& 0.05 M AgNO3 be s1, s2, s3& s4 respectively what is the correct order of these quantities . Neglect any complexation.

A

S1>S2>S3>S4S_{1} > S_{2} > S_{3} > S_{4}

B

S1>S2=S3>S4S_{1} > S_{2} = S_{3} > S_{4}

C

S1>S3>S2>S4S_{1} > S_{3} > S_{2} > S_{4}

D

S4>S2>S3>S1S_{4} > S_{2} > S_{3} > S_{1}

Answer

S1>S3>S2>S4S_{1} > S_{3} > S_{2} > S_{4}

Explanation

Solution

Let Ksp of AgCI = x

(1) solubility of AgCl in pure water = s1 = x\sqrt{x}

(2) solubility of AgCl in 0.01 M CaCl2 = s2 = x0.02\frac{x}{0.02}

(3) solubility of AgCl in 0.01 M NaCl = s3 = x0.01\frac{x}{0.01}

(4) solubility of AgCl in 0.05 M AgNO3 = s4 =x0.05\frac{x}{0.05}

So, s1 > s3 > s2 > s4