Calculate ΔE and determine whether the process is endothermic or exothermic for the following cases: (b) A system releases 66.1 kJ of heat to its surroundings while the surroundings do 44.0 kJ of work on the system.

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Understand the concept of energy change (ΔE) in a system, which is given by the formula: ΔE = q + w, where q is the heat exchanged and w is the work done.

Identify the values given in the problem: the system releases 66.1 kJ of heat, so q = -66.1 kJ (negative because heat is released), and the surroundings do 44.0 kJ of work on the system, so w = 44.0 kJ (positive because work is done on the system).

Substitute the values into the formula: ΔE = q + w = (-66.1 kJ) + (44.0 kJ).

Calculate the value of ΔE using the substituted values. This will give you the total energy change of the system.

Determine whether the process is endothermic or exothermic: if ΔE is positive, the process is endothermic (energy is absorbed by the system); if ΔE is negative, the process is exothermic (energy is released by the system).

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주요 개념

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First Law of Thermodynamics

The First Law of Thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another. In a closed system, the change in internal energy (ΔE) is equal to the heat added to the system minus the work done by the system. This principle is fundamental for analyzing energy changes in thermodynamic processes.

Endothermic and Exothermic Processes

Endothermic processes absorb heat from the surroundings, resulting in a positive ΔE, while exothermic processes release heat, leading to a negative ΔE. Understanding whether a process is endothermic or exothermic is crucial for predicting the direction of energy flow and the system's behavior in response to heat and work interactions.

Work and Heat in Thermodynamics

In thermodynamics, work and heat are two ways energy can be transferred between a system and its surroundings. Work is done on or by the system, while heat refers to energy transfer due to temperature differences. The signs of heat and work are essential for calculating ΔE and determining the nature of the process (endothermic or exothermic).