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
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Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
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Chapter5: Thermochemistry
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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)?
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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