in the electrolysis of water oxygen gas is liberated in the anode only. Why?
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because When an electric current is passed through acidified water, it decomposes to give hydrogen and oxygen gas. The hydrogen gas is obtained at the cathode and the oxygen gas is obtained at the anode.
The reaction for decomposition of water into oxygen and hydrogen is as follows; O(l) -------> 2H
hence oxygen is denser than water hence will rise above the aqueous solution, making it to be absorbed by air
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