Chapter 2, Problem 2.42P

Interpretation Introduction

(a)

Interpretation:

The empirical relationship between ϕ and T should be determined.

Concept introduction:

The temperature of a system is controlled by passing cooling water through a jacket that covers the system. The system temperature (T) and the water flow rate (ϕ) through the cooling jacket is measured.

In addition, it is given that data are taken for T versus ϕ. Plots of T versus ϕ on rectangular and semi-log coordinates are distinctly curved. The possible empirical functions such as T = a ϕ + b and T = a e bϕ (a and b are constants) are not taken into consideration by the author.

Interpretation Introduction

(b)

Interpretation:

Using the derive equation, the cooling water flow rates needed to maintain the process unit temperature at 85°C, 175°C and 290°C should be calculated.

Concept introduction:

The temperature of a system is controlled by passing cooling water through a jacket that covers the system. The system temperature (T) and the water flow rate (ϕ) through the cooling jacket are measured and give by,

The relationship $T=9677.6{\varphi }^{-1.19}$.

Where T = system temperature and ϕ = water flow rate through the cooling jacket

Interpretation Introduction

(c)

Interpretation:

The most confidence estimate, and least confidence estimate should be explained from the three estimates in part (b).

Concept introduction:

The temperature of a system is controlled by passing cooling water through a jacket that covers the system. The system temperature (T) and the water flow rate (ϕ) through the cooling jacket are measured and give by,

The relationship is $T=9677.6{\varphi }^{-1.19}$.

Where T = system temperature and ϕ = water flow rate through the cooling jacket