The standard enthalpy of formation of \(\mathrm{NH_3}\) is \(-46.0\ \mathrm{kJ/mol}\). If bond enthalpy of \(\mathrm{H_2}\) is \(-436\ \mathrm{kJ/mol}\) and that of \(\mathrm{N_2}\) is \(-712\ \mathrm{kJ/mol}\), the average bond enthalpy of \(\mathrm{N-H}\) bond in \(\mathrm{NH_3}\) is :