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Final Answer:Equation: We cannot determine the balanced equation for the process solely based on the information that it occurs at constant pressure.ΔH^{rxn°} = -50 kJ: This is a possible answer if the process is exothermic (releases heat).Thus the correct option is (B).Explanation:1. Limited Information for Balanced Equation:The information that the process occurs at constant pressure is not sufficient to determine the balanced chemical equation. We would need additional details about the reactants and products involved in the reaction. The balanced equation would show the exact number of atoms of each element on both the reactant and product sides, ensuring mass conservation. It would be written in the form:$$aA + bB \rightarrow cC + dD$$where $A$, $B$, $C$, and $D$ represent the chemical formulas of the reactants and products, and $a$, $b$, $c$, and $d$ are the corresponding stoichiometric coefficients (positive integers).2.ΔH^{rxn°} and Enthalpy Change:The symbol ΔH^{rxn°} (standard enthalpy change) refers to the heat absorbed or released during a chemical reaction at constant pressure and a specific temperature (usually 25 °C). A negative ΔH^{rxn°} indicates an exothermic reaction, meaning the process releases heat to the surroundings. Conversely, a positive ΔH^{rxn°} signifies an endothermic reaction, where the process absorbs heat from the surroundings.3. Possible Answer (ΔH^{rxn°} = -50 kJ):While we cannot determine the specific reaction, the given answer choice ΔH^{rxn°} = -50 kJ is a plausible value for an exothermic process occurring at constant pressure. The negative sign indicates the release of 50 kJ of heat during the reaction.Without more information about the reactants and products, we cannot definitively choose the balanced equation or eliminate other answer choices (ΔH^{rxn°} = +50 kJ or ΔH^{rxn°} = -25 kJ). These might represent different reactions with varying enthalpy changes.Thus the correct option is (B)....