Asked in ETEA MDCAT 2013 2013Moderate

A salt AB ionizes as AB = A+ > B- .The solubility product for the salt AB is 4.0 x 10-4. The molar solubility of the salt is:

Correct answer: B. 2.0 x 10^-2 M

  • A. 4.0 x 10^-4 M
  • B. 2.0 x 10^-2 M
  • C. 8.0 x 10^-4 M
  • D. 2.0 x 10^-4 M

Explanation

The solubility product (Ksp) of a salt AB that ionizes as AB = A+ + B- is given as 4.0 x 10-4. For a salt that dissociates in a 1:1 ratio, the Ksp expression is [A+][B-] = x2, where x represents the molar solubility. Solving for x, we find that x = √(4.0 x 10-4) = 2.0 x 10-2 M, which is option B. The other options are incorrect because they either confuse the Ksp value as the molar solubility or incorrectly perform the square root calculation.

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About Solubility Product

The solubility product constant, Ksp, represents the equilibrium concentrations of ions from a sparingly soluble salt, each raised to its stoichiometric power. Problems involve writing Ksp expressions, calculating molar solubility, applying the common-ion effect and predicting precipitation from the ionic product.

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