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← IIT-JEE 2008 · Paper 2
ChemistrySingle correct+3 / -1Question 53 of 66

IIT-JEE 2008 · Paper 2, Chemistry question 53

Solubility product constants (KspK_{sp}) of salts of types MX, MX₂ and M₃X at temperature 'T' are 4.0×10−84.0\times10^{-8}, 3.2×10−143.2\times10^{-14} and 2.7×10−152.7\times10^{-15}, respectively. Solubilities (mol dm⁻³) of the salts at temperature 'T' are in the order

Choose one option
Answer and worked solution

Official answer: D

Solubilities.

  • MX: s2=4.0×10−8s^2=4.0\times10^{-8}, s=2×10−4s=2\times10^{-4}.
  • MXX2\ce{MX2}: 4s3=3.2×10−144s^3=3.2\times10^{-14}, s3=8×10−15s^3=8\times10^{-15}, s=2×10−5s=2\times10^{-5}.
  • MX3X\ce{M3X}: 27s4=2.7×10−1527s^4=2.7\times10^{-15}, s4=10−16s^4=10^{-16}, s=10−4s=10^{-4}.

Order. MX>MX3X>MXX2\ce{MX}>\ce{M3X}>\ce{MX2}.

(D)