Chapter U3.4, Problem 9E

(a)

Interpretation Introduction

Interpretation : A graph comparing the Celsius scale and Fahrenheit scale is to be created. Also, the freezing point and boiling point of water are to be plotted on the graph.

Concept Introduction :

There are two types of temperature scales, a Celsius scale and a Fahrenheit scale. Celsius scale was created by Andreas Celsius in 1747 and Fahrenheit scale was created by German scientist Daniel Fahrenheit in 1724.

Answer to Problem 9E

The following graph compares the Celsius scale and Fahrenheit scale:

Point ‘A’ is freezing point of water.

Point ‘B’ is boiling point of water.

Explanation of Solution

A graph can be plotted comparing the Celsius scale and Fahrenheit scale. In Celsius scale the melting temperature of ice is 0⁰C and boiling point of water is 100⁰C as measured at sea level. On the Fahrenheit scale, the melting temperature of ice is 32⁰F and boiling point of water is 212⁰F. Hence 0⁰C corresponds to 32⁰F on the graph. This is marked as point ‘A’. 32⁰F corresponds to 100⁰C and is marked as point ‘B’.

(b)

Interpretation Introduction

Interpretation : Using the graph temperature in ⁰F has to be determined for 10⁰C.

Concept Introduction :

The Celsius scale and Fahrenheit scale graph can be used to convert temperature in degree Celsius to temperature in degree Fahrenheit.

Answer to Problem 9E

Temperature in ⁰F for 10⁰C is 50⁰F.

Explanation of Solution

To find out the temperature in ⁰F for 10⁰C, first draw a vertical line from 10 on Celsius scale (x-axis) up to the red line. From there,draw a horizontal line to reach the corresponding point on Y axis. This is shown by black lines on the graph. The reading on Fahrenheit scale is obtained. In this case it is 50⁰F.

(c)

Interpretation Introduction

Interpretation : Using the graph temperature in ⁰C has to be determined for 55⁰F.

Concept Introduction :

The Celsius scale and Fahrenheit scale graph can be used to convert temperature in degree Fahrenheit totemperature in degree Celsius.

Answer to Problem 9E

Explanation of Solution

To find out the temperature in ⁰C for 55⁰F, first draw a horizontal line from 55 on Fahrenheit scale (y-axis) up to the red line. From there, draw a vertical line below to reach the corresponding point on x- axis. This is shown by black lines on the graph. The reading on Celsius scale is obtained. In this case, it is 12.78⁰C.