he heat capacities of nitrogen gas at constant volumes were measured at the ollowing temperatures (David Ball, Physical Chemistry 4th edition pg 65): Cv (J mol1 K-1) 300 20.8 400 20.9 500 21.2 600 21.8 700 22.4 800 23.1 900 23.7 1000 24.3 1100 24.9
he heat capacities of nitrogen gas at constant volumes were measured at the ollowing temperatures (David Ball, Physical Chemistry 4th edition pg 65): Cv (J mol1 K-1) 300 20.8 400 20.9 500 21.2 600 21.8 700 22.4 800 23.1 900 23.7 1000 24.3 1100 24.9
Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter5: Thermochemistry
Section: Chapter Questions
Problem 5.101QE: In the 1880s, Frederick Trouton noted that the enthalpy of vaporization of 1 mol pure liquid is...
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![The heat capacities of nitrogen gas at constant volumes were measured at the
following temperatures (David Ball, Physical Chemistry 4th edition pg 65):
Cv (J mol1 K-1)
300
20.8
400
20.9
500
21.2
600
21.8
700
22.4
800
23.1
900
23.7
1000
24.3
1100
24.9
a. graph C vs T then using excel what polynomial trendline is needed to get a fit
of R? = 0.999? Using this polynomial what would be the heat of a process heating
3.189 mol of nitrogen gas from 461 K to 917 K?
b. Fit the data above using what many texts do: Cy = A + BT +C/T² . This is
something likely to be new to you using excel. You will have to have a column for
I and an adjacent column for 1/T?. Then a column for Cy. Go into Data analysis
under tools and choose regression. Enter in your Cv column for y and select
BOTH the T and 1/T2 columns for your x values. Choose a square in your excel
sheet to place the answers. The A, B and C values will be in there! What would
the heat of the process from part a be now if using this C(T)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F492c7bd9-4267-4231-88a8-e521632d9e25%2Fc6fd2b5d-899f-4780-a1c2-03f1506ed0d6%2Fz9rrp5j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The heat capacities of nitrogen gas at constant volumes were measured at the
following temperatures (David Ball, Physical Chemistry 4th edition pg 65):
Cv (J mol1 K-1)
300
20.8
400
20.9
500
21.2
600
21.8
700
22.4
800
23.1
900
23.7
1000
24.3
1100
24.9
a. graph C vs T then using excel what polynomial trendline is needed to get a fit
of R? = 0.999? Using this polynomial what would be the heat of a process heating
3.189 mol of nitrogen gas from 461 K to 917 K?
b. Fit the data above using what many texts do: Cy = A + BT +C/T² . This is
something likely to be new to you using excel. You will have to have a column for
I and an adjacent column for 1/T?. Then a column for Cy. Go into Data analysis
under tools and choose regression. Enter in your Cv column for y and select
BOTH the T and 1/T2 columns for your x values. Choose a square in your excel
sheet to place the answers. The A, B and C values will be in there! What would
the heat of the process from part a be now if using this C(T)?
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