Chapter 3, Problem 3.66P

Interpretation Introduction

(a)

Interpretation:

An equation for T (°F) in terms of R should be determined.

Concept introduction:

We have the equation for T as:

${\text{T=KR}}^{\text{n}}$

Since, the plot of temperature versus dial mark(R) gives a straight line, so the possible relation between T and R may be as per straight line:

$\text{lnT=lnK+nlnR}$

Here, n is described as the slope of the straight line and the y-intercept is explained as K.

Interpretation Introduction

(b)

Interpretation:

The thermostat setting needed to obtain a temperature of 320°F should be determined.

Concept introduction:

We have the equation for T as:

$\begin{array}{l}{\text{T=KR}}^{\text{n}}\\ \text{T=3}{\text{.17R}}^{\text{1}\text{.184}}\end{array}$

Where, K value is 3.17 and n value is 1.184.

The thermostat setting can better be obtained by getting the value of the dial setting R.

Interpretation Introduction

(c)

Interpretation:

The several possible explanations related to value of R in part (b) should be determined.

Concept introduction:

The thermocouple is a type of thermometer which has an application in industries for measuring extreme temperatures.