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Equilibrium

Question
CBSEENCH11008240
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The Ksp of Ag2CrO4, AgCl, AgBr and AgI are respectively, 1.1 x 10-12, 1.8 x 10-11, 8.3 x 10-17. Which one of the following salts will precipitate last if AgNO3 solution is added to the solution containing equal moles of NaCl, NaBr, NaI and Na2CrO4? 

  • AgI

  • AgCl

  • AgBr

  • Ag2CrO4

Solution

D.

Ag2CrO4

Ag subscript 2 CrO subscript 4 space rightwards harpoon over leftwards harpoon space 2 Ag to the power of plus space plus CrO subscript 4 superscript 2 minus end superscript solubility space product straight K subscript sp space equals space left parenthesis 2 straight s right parenthesis squared space straight x space straight S space equals space 4 straight s cubed straight K subscript sp space equals space left parenthesis 1.1 space straight x space 10 to the power of negative 12 end exponent right parenthesis straight S space equals space 3 square root of straight K subscript sp over 4 end root space equals space 0.65 space straight x space 10 to the power of negative 4 end exponent AgCl space rightwards harpoon over leftwards harpoon space Ag to the power of plus space plus Cl to the power of minus straight K subscript sp space equals space straight S space xS space space space space space space space space space left parenthesis straight K subscript sp space equals space 1.8 space straight x space 10 to the power of negative 10 end exponent right parenthesis straight S space equals space square root of straight K subscript sp end root space equals space 1.34 space straight x space 10 to the power of negative 5 end exponent AgBr space rightwards harpoon over leftwards harpoon Ag to the power of plus space plus Br to the power of minus space straight K subscript sp space equals space straight S space straight x space straight S space space space space space left parenthesis straight K subscript sp space equals space 5 space straight x space 10 to the power of negative 13 end exponent straight S space equals space square root of straight K subscript sp end root space equals space 0.71 space straight x space 10 to the power of negative 6 end exponent AgI space rightwards harpoon over leftwards harpoon space Ag to the power of plus plus space straight I to the power of minus Ksp space equals space straight S space xS space space space space space space space straight K subscript sp space equals space 8.3 space straight x space 10 to the power of negative 17 end exponent right parenthesis straight S space equals space square root of straight K subscript sp space end root space equals space 0.9 space straight x space 10 to the power of negative 8 end exponent space therefore space comma space solubility space of space Ag subscript 2 CrO subscript 4 space is space highest space space so space it space will space precipitate space last.

Some More Questions From Equilibrium Chapter

What is equilibrium?

Give two examples of physical equilibrium.

What kind of molecules in a liquid can evaporate?

Name the factors on which vapour pressure of any liquid depends.

Which measurable property becomes constant in water vapour equilibrium?

Give an example from daily life in which there is gas solution equilibrium?

A crystal of common salt of a given mass is kept in its aqueous solution. After 24 hours, its mass remains the same. Is the crystal in equilibrium with the solution?

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