Question

does ohms law hold for a liquid electrolyte and vaccum tube

Answer 1

Ohm's law is basically not a fundamental law which means it has exceptions.
tungsten filament in the bulb does not follow Ohm's law.

Vacuum,tubes,semiconductors,transistors,liquid electrolytes,thermistors,etc are examples of non ohmic conductors...Circuits which consist of these non ohmic conductors are called non ohmic circuits or non linear circuit!
hope it helped
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Answer 2

Ohm's Law is not a universal law, and only applies to a limited range of conductors.There exist many conductors in nature which do not obey ohm's law.They are known as non-ohmic conductors.For such conductors,the graph between potential difference and currentis not a straight line passing through origin.Vacuum tubes,semiconductors,transistors,liquid electrolytes,thermistors,etc are examples.