The solubility product ( K_ sp ) values of four different silver salts at a certain temperature are given below: Salt K_ sp AgCl 1.0 10⁻¹⁰ Ag ₂ CrO ₄ 4.0 10⁻¹² Ag ₃ PO ₄ 2.7 10⁻¹⁹ AgBr 1.0 10⁻¹² Which of the following salts has the highest molar solubility in water?

Step-by-step solution

To find the salt with the highest molar solubility, we calculate the molar solubility ( s ) for each salt from its K_ sp . 1) For AgCl (AB type): K_ sp = s^2 s = 1.0 10⁻¹⁰ = 10⁻⁵ M 2) For Ag ₂ CrO ₄ ( A ₂ B type): K_ sp = 4s^3 4s^3 = 4.0 10⁻¹² s^3 = 10⁻¹² s = 10⁻⁴ M 3) For Ag ₃ PO ₄ ( A ₃ B type): K_ sp = 27s^4 27s^4 = 2.7 10⁻¹⁹ = 27 10⁻²⁰ s^4 = 10⁻²⁰ s = 10⁻⁵ M 4) For AgBr (AB type): K_ sp = s^2 s = 1.0 10⁻¹² = 10⁻⁶ M Comparing the values, Ag ₂ CrO ₄ has the highest molar solubility ( 10⁻⁴ M ). A common mistake is