Question

Air at 1 bar and 33oC is compressed to 500 kPa. Find the work (per unit mass) if the process is;

a) adiabatic

b) isothermal

c) polytropic (k = 1.3)

Sketch all three processes on the same P-V diagram.

Answer 1

To find the work done per unit mass for each process, we need to use the equations for work for each process.

Step-by-step explanation:

To find the work done per unit mass for each process, we need to use the equations for work for each process.

For an adiabatic process, the work per unit mass is given by:
W = (Cv - Cp) * (T1 - T2)

For an isothermal process, the work per unit mass is given by:
W = R * T * ln(V2/V1)

For a polytropic process with k = 1.3, the work per unit mass is given by:
W = (P2 * V2 - P1 * V1) / (k - 1)