The molar conductivity of 0.01 M monobasic acid at 25 ,^ C is 15 ohm ⁻¹ cm ^2 mol ⁻¹ . The molar conductivity of the same acid at infinite dilution is 375 ohm ⁻¹ cm ^2 mol ⁻¹ . Calculate [ H ^+] in solution.

Step-by-step solution

The degree of dissociation is given by the ratio of molar conductivity at a given concentration to the molar conductivity at infinite dilution. = _m _m^ Substituting the given values: = 15 375 = 0.04 For a weak monobasic acid, the concentration of hydrogen ions is given by: [ H ^+] = C Substituting C = 0.01 M and = 0.04 : [ H ^+] = 0.01 0.04 = 4.0 10⁻⁴ M Answer: 4.0 10⁻⁴ M