Final answer:
Delta H is equal to Delta E in an isothermal reaction because, in these reactions, temperature remains constant and no heat is added or removed from the system, hence the internal energy change equals the enthalpy change.
Step-by-step explanation:
Delta H (enthalpy change) will be equal to Delta E (internal energy change) in an isothermal reaction. In isothermal processes, temperature remains constant; hence, no heat is added or removed from the system. According to the first law of thermodynamics, for a system at constant volume, the change in internal energy (Delta E) is equal to the heat added to or removed from the system (q). Since temperature is constant in an isothermal process and no heat is added or removed, Delta E will be equal to Delta H, assuming no non-PV work is done.
The options given are all types of thermodynamic processes. Exothermic and endothermic refer to processes that release or absorb heat, respectively. Adiabatic processes do not exchange heat with the surroundings, but work can be done, which changes the internal energy.