The gas given off at the cathode is hydrogen while the gas given off at the anode is oxygen.
The term electrolysis has to do with the decomposition of a substance by the passage of direct current through it.
The ions present in the system are H^+, OH^- and NO3^- ions. The gas given off at the cathode is hydrogen while the gas given off at the anode is oxygen.
The half reaction equation of the reduction is;
2H^+(aq) + e ----->H2(g)
The oxidation half reaction equation is;
4OH^- (aq)------> 2H2O(l) + 4e
The overall equation is;
4H^+(aq) + 4OH^- (aq)------> 4H2(g) + 2H2O(l) + 4e
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