Construct a table with the headings \(q, w, \Delta E,\) and \(\Delta H .\) For each of the following processes, deduce whether each of the quantities listed is positive \((+)\) negative \((-),\) or zero (0) . (a) Freezing of benzene. (b) Compression of an ideal gas at constant temperature. (c) Reaction of sodium with water. (d) Boiling liquid ammonia. (e) Heating a gas at constant volume. (f) Melting of ice.

The concept of enthalpy change is central to the field of thermochemistry, involving the measurement of heat exchanged in a chemical or physical process at constant pressure. Enthalpy change, symbolized as \(\Delta H\), is a type of energy exchanged that includes both heat and work done against the atmosphere.

When a substance undergoes a transformation, such as when benzene freezes, the process can either release heat (exothermic, \(\Delta H < 0\)) or absorb heat (endothermic, \(\Delta H > 0\)). In the freezing of benzene, molecules lose kinetic energy and stabilize into a solid form, releasing heat to the surroundings, thus exhibiting a negative enthalpy change. On the contrary, processes like boiling ammonia or melting ice require an input of heat, indicating a positive enthalpy change.

The internal energy of a system, often noted as \(\Delta E\) or \(\Delta U\), represents the totality of kinetic and potential energies of the particles within that system. It's the energy stored inside the system. Changes in a system’s temperature, volume, or chemical composition can alter its internal energy.

During phase transitions, such as melting or boiling, a system absorbs energy, increasing the kinetic energy of its particles and thus, its internal energy (e.g., \(\Delta E > 0\) during boiling of ammonia). In contrast, freezing and exothermic reactions release energy, decreasing the system's internal energy (e.g., \(\Delta E < 0\) for freezing benzene).

Heat transfer is the movement of thermal energy from one thing to another due to a temperature difference. Heat (\(q\)) can move via conduction, convection, or radiation and can be quantified in terms of energy units, such as joules or calories.

In thermodynamic processes, if heat is absorbed by the system from the surroundings, the heat transfer value is positive (\(q > 0\)), like when heating a gas at constant volume. Conversely, if the system loses heat to the surroundings, heat transfer is negative (\(q < 0\)), exemplified by the compression of an ideal gas where it releases heat. Understanding the direction of heat flow is crucial for mastering concepts in thermochemistry.

Phase transitions occur when a substance changes from one state of matter to another, such as from solid to liquid (melting) or liquid to gas (boiling). These processes are governed by energy changes and can be categorized as endothermic or exothermic.

During endothermic transitions, like melting ice or boiling ammonia, the substance absorbs energy from the surroundings, leading to a positive heat transfer (\(q > 0\)) and a rise in the internal energy (\(\Delta E > 0\)). Conversely, during exothermic changes like freezing of benzene, the substance releases energy, resulting in a negative heat transfer (\(q < 0\)) and a drop in the internal energy (\(\Delta E < 0\)).