Book edition 1st

Author(s) Daniel V. Schroeder

Pages 356 pages

ISBN 9780201380279

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Short Answer

The Fahrenheit temperature scale is defined so that ice melts at 32⁰ F and water boils at 212⁰ F.
(a) Derive the formula for converting from Fahrenheit to Celsius and back
(b) What is absolute zero on the Fahrenheit scale?

(a) $\frac{9}{5} ° C + 32 = ° F$

(b) -459.67 $° F$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Part (a) Step 1 : Fahrenheit scales values of freezing point and boiling point.

Fahrenheit freezing point of water = 32 $° F$

Fahrenheit boiling point of water = 212 $° F$

212 - 32 = 180 $° F$ between the freezing point and boiling point of water.

Part (a) Step 2 : Celsius scales values of freezing and boiling point.

Celsius freezing point of water = 0 $° C$

Celsius boiling point of water = 100 $° C$

100 - 0 = 100 $° C$ between the freezing point and boiling point of water.

Part (a) Step 3 : Ratio for Celsius to Fahrenheit scale values.

The ratio for Celsius to Fahrenheit of $\frac{100}{180} = \frac{5}{9}$ and the ratio of Fahrenheit to Celsius of $\frac{180}{100} = \frac{9}{5}$

then 32 $° F$ = 0 $° C$

Hence the formula for degree Celsius to Fahrenheit is localid="1649151785065" ${\frac{9}{5}} ° C + 32 = ° F$

Part (b) Step 1: Absolute zero in celsius

Absolute zero = 0K

K - 273.15 = $° C$

$° C$ = 0 - 273.15 = -273.15 $° C$

Part (b) Step 2: Absolute zero in Fahrenheit

we know that $° F = \frac{9}{5} ° C + 32$

$° F = \frac{9}{5} (- 273.15) + 32$

$° F = - 459.67 ° F$

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An Introduction to Thermal Physics

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Short Answer

The Fahrenheit temperature scale is defined so that ice melts at 32⁰ F and water boils at 212⁰ F.
(a) Derive the formula for converting from Fahrenheit to Celsius and back
(b) What is absolute zero on the Fahrenheit scale?

Step by Step Solution

Part (a) Step 1 : Fahrenheit scales values of freezing point and boiling point.

Part (a) Step 2 : Celsius scales values of freezing and boiling point.

Part (a) Step 3 : Ratio for Celsius to Fahrenheit scale values.

Part (b) Step 1: Absolute zero in celsius

Part (b) Step 2: Absolute zero in Fahrenheit

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The Fahrenheit temperature scale is defined so that ice melts at 320 F and water boils at 2120 F.(a) Derive the formula for converting from Fahrenheit to Celsius and back (b) What is absolute zero on the Fahrenheit scale?

Step by Step Solution

Part (a) Step 1 : Fahrenheit scales values of freezing point and boiling point.

Part (a) Step 2 : Celsius scales values of freezing and boiling point.

Part (a) Step 3 : Ratio for Celsius to Fahrenheit scale values.

Part (b) Step 1: Absolute zero in celsius

Part (b) Step 2: Absolute zero in Fahrenheit

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The Fahrenheit temperature scale is defined so that ice melts at 32⁰ F and water boils at 212⁰ F.
(a) Derive the formula for converting from Fahrenheit to Celsius and back
(b) What is absolute zero on the Fahrenheit scale?