Electrochemistry

At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 \(\times\) 10² S cm² mol^\(-\)1. At 298 K, for an aqueous solution of the acid the degree of dissociation is \(\alpha\) and the molar conductivity is y \(\times\) 10² S cm² mol^\(-\)1. At 298 K, upon 20 times dilution with water, the molar conductivity of the solution becomes 3y \(\times\) 10² S cm² mol^\(-\)1.

The value of \(\alpha\) is __________.