Final answer:
An electric heater raising the temperature of a cup of water does not involve a change in entropy.
Step-by-step explanation:
The process that does not involve a change in entropy is option A: an electric heater raising the temperature of a cup of water by 20°C. In this process, the heat energy is transferred from the heater to the water, causing a temperature increase, but there is no change in the disorder or randomness of the molecules in the system.