For each of the following, which thermodynamic quantities (ΔU, Q, and W) have values equal to

step 1 Hi, let us look at different thermodynamic processes which can occur in nature. So let us first

For each of the following, which thermodynamic quantities...

Key Concepts

Isothermal Process

An isothermal process is one in which the temperature of the system remains constant throughout. For an ideal gas, this means that the internal energy does not change (?U = 0) since internal energy is a function of temperature. However, work (W) may be done by or on the system, and heat (Q) must be exchanged with the environment to maintain the constant temperature, leading to Q equaling the work done in magnitude but opposite in sign.

Adiabatic Process

An adiabatic process is defined by the absence of heat exchange between a system and its surroundings, which implies that Q = 0. As a result, any work performed by or on the system directly changes the internal energy (?U = -W) according to the first law of thermodynamics. This process highlights the direct conversion of internal energy into work or vice versa without the influence of external heat.

Isochoric Process

An isochoric or isovolumetric process occurs at constant volume, meaning there is no change in the volume of the system as the process unfolds. Since work is defined as the product of pressure and the change in volume (W = P?V), the lack of volume change implies that W = 0. Consequently, any energy change in the system (?U) is solely due to the heat added to or removed from the system (Q), as expressed by the first law of thermodynamics.

First Law of Thermodynamics

The first law of thermodynamics is a fundamental principle stating that energy is conserved in any thermodynamic process. It is typically expressed as ?U = Q - W, linking the change in internal energy (?U) to the net heat added to the system (Q) and the work done by the system (W). This law underpins the analysis of various thermodynamic processes, such as isothermal, adiabatic, and isochoric processes, by providing the basis for understanding how energy is transferred and transformed.

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