A method for determining an aggregate state of an aqueous operating liquid in an operating liquid container for a motor vehicle, wherein the operating liquid container has at least one capacitor which is fastened to a container wall of the operating liquid container and has a first electrode and a second electrode opposite said first electrode, the method comprising:
- applying (A) at least a first alternating voltage to the capacitor, wherein a first frequency of the first alternating voltage corresponds to a lower frequency limit (fmin);
- determining and storing (B) a first impedance of the capacitor for the first frequency;
- determining (C) a first phase angle (φ1) from the first impedance;
- and
- determining (D) that the operating liquid located in the operating liquid container is in a solid aggregate state when the first phase angle (φ1) is greater than a first critical angle (δ1).