Question

Air undergoes a reversible adiabatic process. The initial temperature is 100°C and the final temperature is 1000°C. Determine the fraction Pfinal/Pinitial

a. Assuming constant specific heat
b. Assuming variable specific heat (exact analysis using s°from tables)

Answer 1

To determine the fraction Pfinal/Pinitial for an air undergoing a reversible adiabatic process with constant or variable specific heat, you can use different formulas.

Step-by-step explanation:

To determine the fraction Pfinal/Pinitial for an air undergoing a reversible adiabatic process, we can use the formula Pfinal/Pinitial = (Tfinal/Tinitial)^(gamma/(gamma-1)).

a. Assuming constant specific heat: In this case, we use the specific heat ratio, gamma, as a constant. We can calculate Pfinal/Pinitial as (Tfinal/Tinitial)^(gamma/(gamma-1)).

b. Assuming variable specific heat: In this case, we need to use tables or equations to find the entropy change value, s°. Then, we can use the relationship Pfinal/Pinitial = (Tfinal/Tinitial)^(s°/(R/molar mass)).