Chapter 5, Problem 5.82P

Interpretation Introduction

(a)

Interpretation:

To interpret the value of pressure in the cylinder when the piston comes to rest at the desired elevation.

Concept introduction:

The pressure exerted on the bottom of the piston from the gas evaporating must equal the force from gravity of the car and piston. The forces must be at equilibrium when the car is already elevated to necessary height.

Interpretation Introduction

(b)

Interpretation:

To interpret the mass of dry ice $\left(kg\right)$ that must be placed in cylinder.

Concept introduction:

SRK equation of state is known as the Soave-Redlich-Kwong equation of state. The SRK equation is:

$\begin{array}{l}p=\frac{RT}{V_{m,SRK}-b}-\frac{a}{V_{m,SRK}\left(V_{m,SRK}+b\right)}\\ \\ Here,\\ a=a_c\alpha \\ a_c\approx 0.42747\frac{R^2{T}_C^2}{P_c}\\ b_c\approx 0.08664\frac{R{T}_C^{}}{P_c}\end{array}$

Interpretation Introduction

(c)

Interpretation:

To interpret the outline to calculate the minimum piston diameter required for any elevation of the car to occur if calculated amount of dry ice is added.

Concept introduction:

:The piston-cylinder apparatus is based on the simple relationship high-pressure devices:

$\begin{array}{l}P=\frac{F}{A}\\ \\ Where,\\ P=Pressure\\ F=AppliedForce\\ A=Area.\end{array}$

SRK equation of state is known as the Soave-Redlich-Kwong equation of state. The SRK equation is as follows:

$\begin{array}{l}p=\frac{RT}{V_{m,SRK}-b}-\frac{a}{V_{m,SRK}\left(V_{m,SRK}+b\right)}\\ \\ Here,\\ a=a_c\alpha \\ a_c\approx 0.42747\frac{R^2{T}_C^2}{P_c}\\ b_c\approx 0.08664\frac{R{T}_C^{}}{P_c}\end{array}$