Question

Air at 1 bar and 298.15 K is compressed to 3 bar and 298.15 K by two different closed-system mechanically reversible processes: Heating at constant volume followed by cooling at constant pressure. Calculate the heat and work requirements and ΔU and ΔH of the air for each path. The following heat capacities for air may be assumed independent of temperature: Cᵥ=20.785 and Cₚ=29.100 J⋅mol⁻¹⋅K⁻¹

Answer 1

To calculate the heat and work requirements and ΔU and ΔH of the air for each path of the compression process, we need to apply the first law of thermodynamics and use the equations for heat and work. Given the heat capacities for air, we can calculate the heat and work requirements for each path.

Step-by-step explanation:

The given problem involves the compression of air from 1 bar to 3 bar at constant temperature using two different closed-system mechanically reversible processes: Heating at constant volume and cooling at constant pressure.

To calculate the heat and work requirements and the changes in internal energy (ΔU) and enthalpy (ΔH) for each path, we need to use the first law of thermodynamics and the equations for heat and work for the different processes.

Using the given heat capacities for air, we can calculate the heat and work requirements for each path.