To calculate the standard enthalpy change for the precipitation reaction, we can use the following equation:H_reaction = H_f products - H_f reactants First, let's find the enthalpy of formation for the reactants:H_f AgNO3 aq = H_f AgNO3 s + H_sol AgNO3 H_f NaCl aq = H_f NaCl s + H_sol NaCl Since the enthalpy of formation for AgNO3 s and NaCl s are not given, we can assume they are zero because they are in their standard states. Therefore:H_f AgNO3 aq = 0 + -19.9 kJ/mol = -19.9 kJ/molH_f NaCl aq = 0 + -3.9 kJ/mol = -3.9 kJ/molNow, we can plug these values into the equation:H_reaction = [ -127.0 kJ/mol + -467.14 kJ/mol ] - [ -19.9 kJ/mol + -3.9 kJ/mol ]H_reaction = -594.14 kJ/mol - -23.8 kJ/mol H_reaction = -570.34 kJ/molThe standard enthalpy change for the precipitation reaction is -570.34 kJ/mol.