Chapter 8, Problem 8.5P

Interpretation Introduction

Interpretation: The discharge temperature of the air from the first stage in the previous linked question is to be calculated.

Concept introduction: For the adiabatic process the relation between temperature and pressure is related as,

  $\frac{{\text{T}}_{\text{b}}}{{\text{T}}_{\text{a}}}\text{=}{\left\{{\left(\frac{{\text{P}}_{\text{b}}}{{\text{P}}_{\text{a}}}\right)}^{\frac{\text{1}}{\text{4}}}\right\}}^{\text{1}\text{-}\frac{\text{1}}{\text{γ}}}\mathrm{.......}\text{(1)}$

T_a = Inlet absolute temperature in $\text{°R}$

T_b = Inlet absolute temperature in $\text{°R}$

  ${\text{P}}_{\text{a}}$ = Inlet Pressure of the gas

  ${\text{P}}_{\text{b}}$ = Outlet Pressure of the gas

  $\text{γ}\text{=}$ Compressibility ratio