The alkaline batteries, have a higher energy density and the time a battery can remain in storage without losing any of its capacity. Also, there is a specially designed coating inside the batteries that reduces contact resistance for greater reliability. Lastly, the alkaline cells have an extra power formula to maintain power for a longer period of time in high drain devices. Alkaline batteries provide more energy than zinc carbon batteries.
The Zinc carbon batteries, are a reliable source of power for appliances that consume little energy. Some examples are: remote controls for televisions, clocks, and smoke detectors. A reason that you should use the Zinc carbon batteries is for, the low energy consumption. This will lead to being able to use the appliances for a longer time for the same money.
The difference between the batteries is the capacity. Because of composition, an alkaline battery, delivers more energy than a zinc carbon battery.
The only downside is that, both batteries need to be used in different appliances.
Hope this helps! :)