Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
Question
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Chapter 18, Problem 1P

(a)

To determine

The absolute zero in the new scale.

(a)

Expert Solution
Check Mark

Answer to Problem 1P

The absolute zero in the new scale is 738°N .

Explanation of Solution

Given info: The normal human body temperature in degree Fahrenheit is 98.6°F . In the new scale the normal body temperature and freezing point of water is 100°N and 0°N respectively. The melting point of mercury is 37.9°F . The highest temperature is 134.1°F .

Write the expression to convert the temperature scale.

N=aF+b (1)

Here,

N is the temperature in °N .

a,b are constants.

F is the temperature in degree Fahrenheit.

Substitute 98.6°F for F and 100°N for N in equation (1).

100°F=a(98.6°F)+b (2)

The freezing point of water in degree Fahrenheit is 32°F .

Substitute 32°F for F and 0°N for N in equation (1).

0N=a(32°F)+b (3)

Solve equation (2) and (3).

a=1.5b=48.04

The temperature of absolute zero in degree Fahrenheit is 460 .

Substitute 460 for F , 1.5 for a and 48.04 for b in equation (1).

N=1.5(460)+(48.04)=738N

Conclusion:

Therefore, the absolute zero in the new scale is 738°N .

(b)

To determine

The melting point of mercury in new scale.

(b)

Expert Solution
Check Mark

Answer to Problem 1P

The melting point of mercury in new scale is 105°N .

Explanation of Solution

Given info: The normal human body temperature in degree Fahrenheit is 98.6°F . In the new scale the normal body temperature and freezing point of water is 100°N and 0°N respectively. The melting point of mercury is 37.9°F . The highest temperature is 134.1°F .

Write the expression to convert the temperature scale.

N=aF+b (1)

Substitute 37.9 for F , 1.5 for a and 48.04 for b in equation (1).

N=1.5(37.9)+(48.04)=105

Conclusion:

Therefore, the melting point of mercury in new scale is 105°N .

(c)

To determine

The boiling point of water in new scale.

(c)

Expert Solution
Check Mark

Answer to Problem 1P

The boiling point of water in new scale is 270°N .

Explanation of Solution

Given info: The normal human body temperature in degree Fahrenheit is 98.6°F . In the new scale the normal body temperature and freezing point of water is 100°N and 0°N respectively. The melting point of mercury is 37.9°F . The highest temperature is 134.1°F .

The boiling point of water in degree Fahrenheit is 212 .

Write the expression to convert the temperature scale.

N=aF+b (1)

Substitute 212 for F , 1.5 for a and 48.04 for b in equation (1).

N=1.5(212)+(48.04)=270

Conclusion:

Therefore, the boiling point of water in new scale is 270°N .

(d)

To determine

The highest recorded air temperature on Earth’s surface in new scale.

(d)

Expert Solution
Check Mark

Answer to Problem 1P

The highest recorded air temperature on Earth’s surface in new scale is 153°N .

Explanation of Solution

Given info: The normal human body temperature in degree Fahrenheit is 98.6°F . In the new scale the normal body temperature and freezing point of water is 100°N and 0°N respectively. The melting point of mercury is 37.9°F . The highest temperature is 134.1°F .

Write the expression to convert the temperature scale.

N=aF+b (1)

Substitute 134.1 for F , 1.5 for a and 48.04 for b in equation (1).

N=1.5(134.1)+(48.04)=153

Conclusion:

Therefore, the highest recorded air temperature on Earth’s surface in new scale is 153°N .

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Chapter 18 Solutions

Physics for Scientists and Engineers

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