why we do not store Ac in battery

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We do not store AC (alternating current) in batteries because batteries are designed to store and release direct current (DC) electricity. AC electricity has a constantly changing voltage and direction, while DC electricity has a constant voltage and direction.
Batteries are made up of cells that contain two electrodes (positive and negative) and an electrolyte solution. When a device is connected to a battery, the electrons flow from the negative electrode, through the device, and back to the positive electrode. This flow of electrons creates a direct current.
If AC electricity were stored in a battery, the constantly changing voltage and direction would cause the electrons to flow in different directions and at different speeds, which would damage the battery and potentially cause it to malfunction or fail.

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