EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC
EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC
1st Edition
ISBN: 9781337684668
Author: Katz
Publisher: VST
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 19, Problem 5PQ
To determine

The values of the temperatures T1,T2 and T3 in figure P19.4 on all three scales.

Expert Solution & Answer
Check Mark

Answer to Problem 5PQ

The value of T1 in Fahrenheit scale is 40°F , in Celsius scale is 40°C , in Kelvin scale is 233 K , value of T2 in Fahrenheit scale is 0°F , in Celsius scale is 18°C , in Kelvin scale is 255 K , value of T3 in Fahrenheit scale is 32°F , in Celsius scale is 0°C , in Kelvin scale is 273.15 K ,.

Explanation of Solution

Write the relation between Celsius scale and Kelvin scale.

  T(°C)=T(K)273.15                                                                                           (I)

Here, T(°C) is the temperature in degree Celsius and T(K) is the temperature in Kelvin scale.

Write the relation between Fahrenheit and Celsius scale.

  T(°F)=95T(°C)+32                                                                                             (II)

Here, T(°F) is the temperature in Fahrenheit.

Write the general equation of straight-line in a xy graph.

  y=mx+c                                                                                                               (III)

Here, y is the y coordinate value, x is the x coordinate value, m is the slope of straight-line and c is the y intercept.

The equation (II) gives the temperature in Fahrenheit in terms of temperature in degree Celsius.

In order to compare the slope of lines in the graph, substitute (I) in (II).

  T(°F)=95(T(K)273.15)+32=95T(K)95(273.15)+32=95T(K)460                                                                        (IV)

Thus, comparing equations (I) and (III), it is evident that slope of Celsius versus Kelvin scale graph is 1 and y intercept is 273.15 .

Comparing equations (IV) and (III), it is evident that slope of Fahrenheit versus Kelvin scale graph is 95 and y intercept is 460 .

Therefore, slope and y intercept of straight-line in Fahrenheit versus Kelvin scale graph is greater than that in Celsius versus Kelvin scale graph.

In figureP19.4, slope and y intercept of line A is greater than slope and y intercept of line B.

Above explanations indicate that line A is Fahrenheit and B is Celsius.

Conclusion:

The temperature T1 occurs when the lines A and B intersect or when temperatures on the Fahrenheit and Celsius scales are equal.

Substitute T1 for T(°F) and T(°C) in equation (II) to find the value of T1 .

  T1=95T1+32T1(195)=32T1=3245=40

T1 is the same temperature in Fahrenheit and Celsius scales.

  T1=40°F or 40°C

Substitute 40°C for T(°C) in equation (I) to find the value of T1 in Kelvin scale.

  40°C=T1(K)273.15T1(K)=40°C+273.15=233.15 K233 K

T2 is the temperature at which the line A or the Fahrenheit scale crosses zero.

  T2(°F)=0°F

Substitute 0°F for T(°F) in equation (II) to find the value of T2 in Celsius scale.

  0°F=95T2(°C)+32T2(°C)=329/5=18°C

Substitute 18°C for T(°C) in equation (I) to find the value of T2 in Kelvin scale.

  18°C=T2(K)273.15T2(K)=18°C+273.15=255.15 K255 K

T3 is the temperature at which the line B or the Celsius scale crosses zero.

  T3(°C)=0°C

Substitute 0°C for T(°C) in equation (II) to find the value of T3 in Fahrenheit scale.

  T3(°F)=95(0°C)+32T3(°F)=32°F

Substitute 0°C for T(°C) in equation (I) to find the value of T3 in Kelvin scale.

  0°C=T3(K)273.15T3(K)=0°C+273.15=273.15 K

Therefore, the value of T1 in Fahrenheit scale is 40°F , in Celsius scale is 40°C , in Kelvin scale is 233 K , value of T2 in Fahrenheit scale is 0°F , in Celsius scale is 18°C , in Kelvin scale is 255 K , value of T3 in Fahrenheit scale is 32°F , in Celsius scale is 0°C , in Kelvin scale is 273.15 K ,.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
No chatgpt pls will upvote
No chatgpt pls will upvote
No chatgpt pls will upvote

Chapter 19 Solutions

EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC

Ch. 19 - Prob. 4PQCh. 19 - Prob. 5PQCh. 19 - Prob. 6PQCh. 19 - Prob. 7PQCh. 19 - Prob. 8PQCh. 19 - Object A is placed in thermal contact with a very...Ch. 19 - Prob. 10PQCh. 19 - Prob. 11PQCh. 19 - Prob. 12PQCh. 19 - Prob. 13PQCh. 19 - The tallest building in Chicago is the Willis...Ch. 19 - Prob. 15PQCh. 19 - Prob. 16PQCh. 19 - At 22.0C, the radius of a solid aluminum sphere is...Ch. 19 - Prob. 18PQCh. 19 - Prob. 19PQCh. 19 - Prob. 20PQCh. 19 - The distance between telephone poles is 30.50 m in...Ch. 19 - Prob. 22PQCh. 19 - Prob. 23PQCh. 19 - Prob. 24PQCh. 19 - Prob. 25PQCh. 19 - Prob. 26PQCh. 19 - Prob. 27PQCh. 19 - Prob. 28PQCh. 19 - Prob. 29PQCh. 19 - Prob. 30PQCh. 19 - Prob. 31PQCh. 19 - Prob. 32PQCh. 19 - Prob. 33PQCh. 19 - Prob. 34PQCh. 19 - Prob. 35PQCh. 19 - Prob. 36PQCh. 19 - Prob. 37PQCh. 19 - Prob. 38PQCh. 19 - Prob. 39PQCh. 19 - On a hot summer day, the density of air at...Ch. 19 - Prob. 41PQCh. 19 - Prob. 42PQCh. 19 - Prob. 43PQCh. 19 - Prob. 44PQCh. 19 - Prob. 45PQCh. 19 - Prob. 46PQCh. 19 - Prob. 47PQCh. 19 - A triple-point cell such as the one shown in...Ch. 19 - An ideal gas is trapped inside a tube of uniform...Ch. 19 - Prob. 50PQCh. 19 - Prob. 51PQCh. 19 - Case Study When a constant-volume thermometer is...Ch. 19 - An air bubble starts rising from the bottom of a...Ch. 19 - Prob. 54PQCh. 19 - Prob. 55PQCh. 19 - Prob. 56PQCh. 19 - Prob. 57PQCh. 19 - Prob. 58PQCh. 19 - Prob. 59PQCh. 19 - Prob. 60PQCh. 19 - Prob. 61PQCh. 19 - Prob. 62PQCh. 19 - Prob. 63PQCh. 19 - Prob. 64PQCh. 19 - Prob. 65PQCh. 19 - Prob. 66PQCh. 19 - Prob. 67PQCh. 19 - Prob. 68PQCh. 19 - Prob. 69PQCh. 19 - Prob. 70PQCh. 19 - Prob. 71PQCh. 19 - A steel plate has a circular hole drilled in its...Ch. 19 - Prob. 73PQCh. 19 - A gas is in a container of volume V0 at pressure...Ch. 19 - Prob. 75PQCh. 19 - Prob. 76PQCh. 19 - Prob. 77PQCh. 19 - Prob. 78PQCh. 19 - Prob. 79PQCh. 19 - Prob. 80PQCh. 19 - Two glass bulbs of volumes 500 cm3 and 200 cm3 are...
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Heat Transfer: Crash Course Engineering #14; Author: CrashCourse;https://www.youtube.com/watch?v=YK7G6l_K6sA;License: Standard YouTube License, CC-BY