Finally, calculate the enthalpy of vaporization from the slope of your fit for the midpoint (or 310 K) and report its value, in ] mol-¹. Also, since we assume that conditions are reversible, or nearly so, and that A/, is consequently equivalent to qr you may calculate the entropy of vaporization, AS,, at the same temperature.
Finally, calculate the enthalpy of vaporization from the slope of your fit for the midpoint (or 310 K) and report its value, in ] mol-¹. Also, since we assume that conditions are reversible, or nearly so, and that A/, is consequently equivalent to qr you may calculate the entropy of vaporization, AS,, at the same temperature.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
Answer the last question
![V. RESULTS
In Excel (or another spreadsheet), tabulate the vapour pressure and temperature data collected during the
experiment. You should only input your last measurement at room temperature (Le when all of the air was out of the
isoteniscope). The other pressure readings taken at this temperature are inaccurate since the acetone vapour in the
isoteniscope was contaminated with air. In subsequent columns, calculate In P,T (in Kelvin) and 1/T (K').
Plot In Pas a function of 1/T. This plot is not expected to be a perfectly straight line. However, curvature is not
always detectable at the precision of our temperature and pressure measurements. Therefore, we will assume linearity
and that the value of AH, that will eventually be obtained is a good one for the midpoint of the In P vs. 1/T data. Obtain
the slope of the best-fit line by a regression analysis and add the line to your graph. In order to calculate the enthalpy
of vaporization at the midpoint we must have an accurate value of the compressibility factor, Z, for acetone at the
temperature and pressure of the midpoint.
To deduce Z certain additional information is necessary. If only two terms are used the virial equation reduces to
Z =1+B
in which V is the molar volume and B is the second virial coefficient. The best values of B are those below in Table 1,
which were given to us by Dr. Peter Golding. A small interpolation may be needed to obtain Z precisely at your midpoint
temperature, or you could simply use the value at 310 K. Calculate P at your midpoint temperature (or 310 K) using
the equation for In P:
In P = a +B/T
Now, modify the virial equation by eliminating V, using V =. obtaining a quadratic equation in Z. Introduce P.
T and B at the midpoint (or 310 K) and solve for Z. Be sure to use proper units, preferably Sl units. Notice that B is
given in units of cm mol- (or ml. mol-).
Finally, calculate the enthalpy of vaporization from the slope of your fit for the midpoint (or 310 K) and report its
value, in J mol-L. Also, since we assume that conditions are reversible, or nearly so, and that AH, is consequently
equivalent to q,a. you may calculate the entropy of vaporization, AS, at the same temperature.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57a5127d-07a2-48e2-986e-67b601a3f8bd%2F8059d0df-98ac-41a1-8afd-006567975522%2Fmmoo4k4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:V. RESULTS
In Excel (or another spreadsheet), tabulate the vapour pressure and temperature data collected during the
experiment. You should only input your last measurement at room temperature (Le when all of the air was out of the
isoteniscope). The other pressure readings taken at this temperature are inaccurate since the acetone vapour in the
isoteniscope was contaminated with air. In subsequent columns, calculate In P,T (in Kelvin) and 1/T (K').
Plot In Pas a function of 1/T. This plot is not expected to be a perfectly straight line. However, curvature is not
always detectable at the precision of our temperature and pressure measurements. Therefore, we will assume linearity
and that the value of AH, that will eventually be obtained is a good one for the midpoint of the In P vs. 1/T data. Obtain
the slope of the best-fit line by a regression analysis and add the line to your graph. In order to calculate the enthalpy
of vaporization at the midpoint we must have an accurate value of the compressibility factor, Z, for acetone at the
temperature and pressure of the midpoint.
To deduce Z certain additional information is necessary. If only two terms are used the virial equation reduces to
Z =1+B
in which V is the molar volume and B is the second virial coefficient. The best values of B are those below in Table 1,
which were given to us by Dr. Peter Golding. A small interpolation may be needed to obtain Z precisely at your midpoint
temperature, or you could simply use the value at 310 K. Calculate P at your midpoint temperature (or 310 K) using
the equation for In P:
In P = a +B/T
Now, modify the virial equation by eliminating V, using V =. obtaining a quadratic equation in Z. Introduce P.
T and B at the midpoint (or 310 K) and solve for Z. Be sure to use proper units, preferably Sl units. Notice that B is
given in units of cm mol- (or ml. mol-).
Finally, calculate the enthalpy of vaporization from the slope of your fit for the midpoint (or 310 K) and report its
value, in J mol-L. Also, since we assume that conditions are reversible, or nearly so, and that AH, is consequently
equivalent to q,a. you may calculate the entropy of vaporization, AS, at the same temperature.
![1/T (K^-1)
IIn(p)
0.0034
5.284
0.00335
0.00329
5.51
5.736
0.00324
5.934
6.12
In(p)
0.00319
6.2
6.1
6
5.9
5.8
5.7
5.6
5.5
5.4
5.3
5.2
1
2
3
4
5
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57a5127d-07a2-48e2-986e-67b601a3f8bd%2F8059d0df-98ac-41a1-8afd-006567975522%2F70v23k_processed.png&w=3840&q=75)
Transcribed Image Text:1/T (K^-1)
IIn(p)
0.0034
5.284
0.00335
0.00329
5.51
5.736
0.00324
5.934
6.12
In(p)
0.00319
6.2
6.1
6
5.9
5.8
5.7
5.6
5.5
5.4
5.3
5.2
1
2
3
4
5
6
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