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The concepts that form the basis of Physical Chemistry are important to chemical engineers, and flow into the more complex areas of Thermodynamics. This lesson will introduce some of the key concepts you will encounter in a Chemical Engineering Degree.

Enthalpy

A thermodynamic quantity, enthalpy describes the total heat content of a system, related to the internal energy, pressure, and volume. Enthalpy is most frequently discussed with regards to the enthalpy change of a reaction, where this can be a positive or negative value depending on whether the energy of the system increases (Exothermic reaction) or decreases (Endothermic reaction). This concept is visualised in Figure 1 below.

Figure 1. Visualisation of Enthalpy Change in terms of Exothermic (left)and Endothermic (right) reactions.

\(H = U + PV\)

Equation 1. The equation for Enthalpy, which is used to derive equations for the specific heat capacity at constant volume and constant pressure (Equation 2). \(H\) represents the total enthalpyof the system, represents the internal energy of the system, is Pressure and \(V\) is the Volume of the system.

Enthalpy and Specific Heat Capacity can be related through the equations shown in Equation 2., where the relationship between heat capacity at a constant pressure can be related to a heat capacity at constant volume using the equation shown in Equation 3.

\(C_v = (\delta U / \delta T)_v\) \(C_P = (\delta H / \delta T)_P\)

Equation 2. Equations for Specific Heat Capacity at Constant Volume (left) and Constant Pressure (right), where \(C_x\) is the heat capacity term, \(U\) is the internal energy, \(H\) is the enthalpy, \(T\) is temperature, and \(v\) and \(P\) indicate whether the heat capacity is at a constant volume (\(v\)) or Pressure (\(P\)).

\(C_P = C_v + nR\)

Equation 3. The relationship used to interchange between heat capacity at constant pressure (\(C_P\)) and constant volume (\(C_v\)), where \(n\) is the number of moles and \(R\) is the ideal gas constant.

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