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Equilibrium

Question
CBSEENCH11008232

MY and NY3, two nearly insoluble salts. have the same Ksp values of 6.2 x 10-13 at room temperature. Which  statement would be true in regard to MY and NY3 ?

  • The molar solubility of MY in water is less than that of NY3

  • The salts MY and NY3 are more soluble in 0.5 M KY than in pure water

  • The addition of the Salt of KY to the solution of MY and NY3 will have no effect on their solubilities.

  • The molar solubilities of MY and NY3 in water identical.

Solution

A.

The molar solubility of MY in water is less than that of NY3

For MY,
MY with 0 below space leftwards harpoon over rightwards harpoon space straight M subscript straight s superscript plus space plus straight Y subscript straight s superscript minus
Where comma space straight s equals space solubility space and space straight K subscript sp space equals solubility space product
therefore space straight K subscript sp space equals straight s squared
straight s equals square root of straight K subscript sp end root space equals space square root of 6.2 space straight x space 10 to the power of negative 13 end exponent end root
space equals space 7.874 space straight x space 10 to the power of negative 7 end exponent
simiarly comma space for space NY subscript 3
stack NY subscript 3 with 0 below space leftwards harpoon over rightwards harpoon stack space straight N subscript space superscript plus with straight s below space plus stack 3 straight Y to the power of minus with 3 straight s below
space equals straight s space straight x space left parenthesis 3 straight s right parenthesis squared
straight K subscript sp space equals 27 space straight s to the power of 4

straight s space equals space 4 square root of straight K subscript sp over 27 end root space equals space 4 square root of fraction numerator 6.2 space straight x space 10 to the power of negative 13 end exponent over denominator 27 end fraction end root
space equals 3.89 space straight x space 10 to the power of negative 4 end exponent
Therefore comma space molar space solubility space of space MY space in space water space is space less space than space that space of space NY subscript 3