How to Calculate Change in Enthalpy During a Reversible Process?
What is the process described in the data?
The data provided describes a mechanically reversible change of state of a liquid compound at constant pressure from 300K to 350K.
What are the properties of the liquid compound in the data?
The liquid compound has a specific heat capacity (Cp) of 0.75 + 0.0003 T kJ/kg-K, a coefficient of thermal expansion (B) of 0.001 K-1, and a specific volume (D) of 0.00065 m3/kg at 300K.
How can the change in enthalpy (ΔH) be calculated for this process?
The change in enthalpy (ΔH) can be calculated by integrating the heat capacity (Cp) over the temperature interval from 300K to 350K.
Calculation of Change in Enthalpy:
The change in enthalpy (ΔH) during the reversible process can be determined by integrating the heat capacity (Cp) over the temperature range from 300K to 350K.
Result:
The calculated ΔH value for the system undergoing the change is 44.25 kJ.
The provided data presents a scenario where a two-kilogram liquid compound undergoes a mechanically reversible change of state from 300K to 350K at constant pressure. To calculate the change in enthalpy (ΔH) for this process, we need to integrate the given heat capacity (Cp) function over the temperature range.
The relationship between heat (q) and enthalpy change (ΔH) at constant pressure is ΔH = q. In this case, the heat capacity Cp is a function of temperature represented as Cp = 0.75 + 0.0003T kJ/kg-K. By integrating this function over the temperature range from 300K to 350K, we can determine the total heat required to change the temperature of the system.
Integrating Cp over the specified temperature interval, we find that the change in enthalpy (ΔH) for the system is 44.25 kJ. This value represents the amount of heat energy absorbed or released during the process under consideration.
Understanding how to calculate the change in enthalpy during reversible processes is essential in thermodynamics and chemical engineering. It allows engineers and scientists to evaluate the energy changes in systems undergoing transformations, aiding in the design and optimization of various processes.