The net ionic equation required in the question is; 3OH^-(aq) + 3H^+(aq) -------> 3H2O(l)
First we must write down the molecular equation as follows;
Cr(OH)3(aq) + 3HNO2(aq) ------> Cr(NO2)3(aq) + 3H2O(l)
Next we write the total ionic equation;
Cr^3+(aq) + 3OH^-(aq) + 3H^+(aq) + 3NO2^- (aq) ------> Cr^3+(aq) + 3NO2^- (aq) + 3H2O(l)
Finally we obtain the net ionic equation;
3OH^-(aq) + 3H^+(aq) -------> 3H2O(l)
The net ionic equation is obtained after we exclude the spectator ions. In this reaction, the spectator ions are Cr^3+and 3NO2^-. These ions occur on both sides of the ionic equation.
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