Chapter 5, Problem 5.80P

Interpretation Introduction

(a)

Interpretation:

Estimate the maximum cylinder temperature, if the gas is carbon dioxide.

Concept introduction:

The Ideal Gas Law is defined as,

$PV=nRT$

Where, the volume (V) occupied by ‘n’ moles of any gas has a pressure (P) at temperature (T) in Kelvin and ‘R’ = Gas constant

The Soave-Redlich-Kwong (SRK) is defined as,

$P=\frac{RT}{V-b}-\frac{\alpha a}{V\left(V+b\right)}$

Where,

$\begin{array}{l}a=0.42747\frac{{\left(R{T}_C\right)}^2}{P_C}\\ b=0.08664\frac{R{T}_C}{P_C}\\ m=0.48508+1.55171\omega -0.1561{\omega }^2\\ T_r=T/T_c\\ \alpha ={\left[1+m\left(1-\sqrt{T_r}\right)\right]}^2\end{array}$

Interpretation Introduction

(b)

Interpretation:

Estimate the maximum cylinder temperature, if the gas is argon. Calculate the values predicted by the ideal gas equation.

Concept introduction:

The Ideal Gas Law is defined as,

$PV=nRT$

Where, the volume (V) occupied by ‘n’ moles of any gas has a pressure (P) at temperature (T) in Kelvin and ‘R’ = Gas constant

The Soave-Redlich-Kwong (SRK) is defined as,

$P=\frac{RT}{V-b}-\frac{\alpha a}{V\left(V+b\right)}$

Where,

$\begin{array}{l}a=0.42747\frac{{\left(R{T}_C\right)}^2}{P_C}\\ b=0.08664\frac{R{T}_C}{P_C}\\ m=0.48508+1.55171\omega -0.1561{\omega }^2\\ T_r=T/T_c\\ \alpha ={\left[1+m\left(1-\sqrt{T_r}\right)\right]}^2\end{array}$