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<div class="moz-cite-prefix">I rarely do this for homework problems,
but since you seem to really be struggling with this, here is how
I worked it...</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix"><math
xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msup><mi>S</mi><mo>∘</mo></msup><mrow><mo>(</mo><msub><mi>T</mi><mn>2</mn></msub><mo>)</mo></mrow><mo>=</mo><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msup><mi>S</mi><mo>∘</mo></msup><mrow><mo>(</mo><msub><mi>T</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>+</mo><msubsup><mo>∫</mo><msub><mi>T</mi><mn>1</mn></msub><msub><mi>T</mi><mn>2</mn></msub></msubsup><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msub><mi>C</mi><mi>p</mi></msub><mfrac><mrow><mi>d</mi><mi>T</mi></mrow><mi>T</mi></mfrac></mrow><annotation
encoding="TeX">\Delta_rS^{\circ}\left(T_2\right) =
\Delta_rS^{\circ}\left(T_1\right) + \int_{T_1}^{T_2}
\Delta_rC_p\frac{dT}{T}</annotation></semantics></math><br>
</div>
<div class="moz-cite-prefix">remembering that <br>
</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix"><math display="block"
xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msub><mi>C</mi><mi>p</mi></msub><mo>=</mo><mover><mo>∑</mo><mrow><mi>P</mi><mi>R</mi><mi>O</mi><mi>D</mi></mrow></mover><mi>n</mi><mi>C</mi><mi>p</mi><mo>−</mo><mover><mo>∑</mo><mrow><mi>R</mi><mi>E</mi><mi>A</mi><mi>C</mi><mi>T</mi></mrow></mover><mi>n</mi><mi>C</mi><mi>p</mi></mrow></semantics></math></div>
<div class="moz-cite-prefix" align="left"><math display="block"
xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi><br>
</mi></mrow></semantics></math></div>
<div class="moz-cite-prefix"><math display="block"
xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi></mi><mi></mi></mrow><annotation
encoding="TeX">\Delta_rC_p = \sum^{PROD}n Cp - \sum^{REACT}n
</annotation></semantics></math>Now, rearranging...</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix"><math display="block"
xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msup><mi>S</mi><mo>∘</mo></msup><mrow><mo>(</mo><msub><mi>T</mi><mn>2</mn></msub><mo>)</mo></mrow><mo>=</mo><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msup><mi>S</mi><mo>∘</mo></msup><mrow><mo>(</mo><msub><mi>T</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>+</mo><mrow><mo>[</mo><mrow><msub><mi>C</mi><mi>p</mi></msub><mo
stretchy="false">(</mo><msub><mi>H</mi><mn>2</mn></msub><mi>O</mi><mo
stretchy="false">)</mo><mo>−</mo><msub><mi>C</mi><mi>p</mi></msub><mo
stretchy="false">(</mo><msub><mi>H</mi><mn>2</mn></msub><mo
stretchy="false">)</mo><mo>−</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><msub><mi>C</mi><mi>p</mi></msub><mo
stretchy="false">(</mo><msub><mi>O</mi><mn>2</mn></msub><mo
stretchy="false">)</mo></mrow><mo>]</mo></mrow><msubsup><mo>∫</mo><msub><mi>T</mi><mn>1</mn></msub><msub><mi>T</mi><mn>2</mn></msub></msubsup><mfrac><mrow><mi>d</mi><mi>T</mi></mrow><mi>T</mi></mfrac></mrow><annotation
encoding="TeX">\Delta_rS^{\circ}\left(T_2\right) =
\Delta_rS^{\circ}\left(T_1\right) + \left[C_p(H_2O) -
C_p(H_2) - \frac{1}{2} C_p(O_2)\right] \int_{T_1}^{T_2}
\frac{dT}{T}</annotation></semantics></math></div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">and integrating...<br>
</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">
<div class="moz-cite-prefix"><math display="block"
xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msup><mi>S</mi><mo>∘</mo></msup><mrow><mo>(</mo><msub><mi>T</mi><mn>2</mn></msub><mo>)</mo></mrow><mo>=</mo><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msup><mi>S</mi><mo>∘</mo></msup><mrow><mo>(</mo><msub><mi>T</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>+</mo><mrow><mo>[</mo><mrow><msub><mi>C</mi><mi>p</mi></msub><mo
stretchy="false">(</mo><msub><mi>H</mi><mn>2</mn></msub><mi>O</mi><mo
stretchy="false">)</mo><mo>−</mo><msub><mi>C</mi><mi>p</mi></msub><mo
stretchy="false">(</mo><msub><mi>H</mi><mn>2</mn></msub><mo
stretchy="false">)</mo><mo>−</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><msub><mi>C</mi><mi>p</mi></msub><mo
stretchy="false">(</mo><msub><mi>O</mi><mn>2</mn></msub><mo
stretchy="false">)</mo></mrow><mo>]</mo></mrow><mo
lspace="0em" rspace="0em">ln</mo><mfrac><msub><mi>T</mi><mn>2</mn></msub><msub><mi>T</mi><mn>1</mn></msub></mfrac></mrow><annotation
encoding="TeX">\Delta_rS^{\circ}\left(T_2\right) =
\Delta_rS^{\circ}\left(T_1\right) + \left[C_p(H_2O) -
C_p(H_2) - \frac{1}{2} C_p(O_2)\right] \ln\frac{T_2}{T_1}</annotation></semantics></math></div>
<div class="moz-cite-prefix">Now substituting terms...</div>
<br>
</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix"><math display="block"
xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi
mathvariant="normal">Δ</mi><mi>r</mi></msub><msup><mi>S</mi><mo>∘</mo></msup><mo
stretchy="false">(</mo><mn>323</mn><mo stretchy="false">)</mo><mo>=</mo><mo>−</mo><mn>44.49</mn><mo>+</mo><mrow><mo>[</mo><mrow><mn>36.5</mn><mo>−</mo><mn>28.8</mn><mo>−</mo><mn>29.4</mn><mo>/</mo><mn>2</mn></mrow><mo>]</mo></mrow><mo
lspace="0em" rspace="0em">ln</mo><mfrac><mn>323</mn><mn>298</mn></mfrac></mrow><annotation
encoding="TeX">\Delta_rS^{\circ}(323) = -44.49 + \left[ 36.5
- 28.8 - 29.4/2\right] \ln\frac{323}{298}</annotation></semantics></math>Answer:
-45.05<br>
</div>
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<div class="moz-cite-prefix"><br>
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<div class="moz-cite-prefix">On 1/26/22 14:05, wrote:<br>
</div>
<blockquote type="cite"
cite="mid:910dd9719fc944f5a915731d40b80af3@SA1PR01MB6528.prod.exchangelabs.com">
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<div style="font-family: Calibri, Arial, Helvetica, sans-serif;
font-size: 12pt; color: rgb(0, 0, 0);">
Dr. Pounds,</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif;
font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif;
font-size: 12pt; color: rgb(0, 0, 0);">
I worked the problem again using two calculators making sure
that the results of the intermediate steps are visible. Despite
this, I'm still ending up with -43.9 J/(mol*K) - (please see
attached picture).</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif;
font-size: 12pt; color: rgb(0, 0, 0);">
<span style="color: rgb(0, 0, 0); font-family: Calibri, Arial,
Helvetica, sans-serif; font-size: 12pt;"><br>
</span></div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif;
font-size: 12pt; color: rgb(0, 0, 0);">
<span style="color: rgb(0, 0, 0); font-family: Calibri, Arial,
Helvetica, sans-serif; font-size: 12pt;">Since the Mastering
HW 3 is due Feb. 1<span><sup>st</sup>Â at midnight, when might
be a good time to stop by your office later this week or
Monday/Tuesday next week to review where I went wrong with
this problem?</span></span><br>
</div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif;
font-size: 12pt; color: rgb(0, 0, 0);">
<span style="color: rgb(0, 0, 0); font-family: Calibri, Arial,
Helvetica, sans-serif; font-size: 12pt;"><span><br>
</span></span></div>
<div style="font-family: Calibri, Arial, Helvetica, sans-serif;
font-size: 12pt; color: rgb(0, 0, 0);">
<span style="color: rgb(0, 0, 0); font-family: Calibri, Arial,
Helvetica, sans-serif; font-size: 12pt;"><span>Thank you,
<div><br>
</div>
</span></span></div>
<hr style="display:inline-block;width:98%" tabindex="-1">
<div id="divRplyFwdMsg" dir="ltr"><font style="font-size:11pt"
face="Calibri, sans-serif" color="#000000"><b>From:</b> Andrew
J. Pounds <a class="moz-txt-link-rfc2396E" href="mailto:pounds_aj@mercer.edu"><pounds_aj@mercer.edu></a><br>
<b>Sent:</b> Tuesday, January 25, 2022 5:27 PM<br>
<br>
<b>Subject:</b> Re: CHM 311 HW #3 Questions</font>
<div>Â </div>
</div>
<div>
<div class="x_moz-cite-prefix">I just did the problem myself and
got the answer found in Mastering. Can you show me your
intermediate results?<br>
</div>
<div class="x_moz-cite-prefix"><br>
</div>
<div class="x_moz-cite-prefix">It looks like you are setting up
the problem correctly, but either through rounding or
calculation error you final results are off.</div>
<div class="x_moz-cite-prefix"><br>
</div>
<div class="x_moz-cite-prefix"><br>
</div>
<div class="x_moz-cite-prefix"><br>
</div>
<blockquote type="cite">
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Dr. Pounds,</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
I double-checked my work in the previous image that I sent
you (CHM 330 HW 3 Rev 3 - JM.JPG) and I used the following
constant pressure specific heat capacities:</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
29.39 J/(mol*K) for O<sub
style="background-color:rgb(255,255,255)">2</sub> (per
your instructions)</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
36.5 J/(mol*K) for H<sub>2</sub>O (given)</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
28.85 J/(mol*K) for H<sub>2</sub>Â (based on book values)</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
Using these constants results in a final answer for part 6b
of -43.9 J/(mol*K).</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
The mistake I made on part 7b was forgetting to convert a
number to kJ, but that conversion is not needed for part 6b.
If the <span style="background-color:rgb(255,255,255);
display:inline!important">constant pressure specific heat
capacities are correct, what else could be wrong? (I am
reattaching revision 3 of my work for this problem for
your convenience).</span></div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<span style="background-color:rgb(255,255,255);
display:inline!important"><br>
</span></div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<span style="background-color:rgb(255,255,255);
display:inline!important">Thanks,</span></div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
Jonathan</div>
<div style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<hr tabindex="-1" style="display:inline-block; width:98%">
<div id="x_divRplyFwdMsg" dir="ltr"><font
style="font-size:11pt" face="Calibri, sans-serif"
color="#000000"><b>From:</b> Andrew J. Pounds
<a class="x_moz-txt-link-rfc2396E"
href="mailto:pounds_aj@mercer.edu"
moz-do-not-send="true"><pounds_aj@mercer.edu></a><br>
<b>Sent:</b> Tuesday, January 25, 2022 2:57 PM<br>
<br>
<b>Subject:</b> Re: CHM 311 HW #3 Questions</font>
<div>Â </div>
</div>
<div>
<div class="x_x_moz-cite-prefix">To get the correct values
in Mastering you must use the constants supplied by the
text. What happens if you use the value that I provided
in my last e-mail for oxygen. The values that you showed
me for the other compounds looked good.<br>
</div>
<div class="x_x_moz-cite-prefix"><br>
</div>
<div class="x_x_moz-cite-prefix"><br>
</div>
<div class="x_x_moz-cite-prefix"><br>
</div>
Dr. Pounds,
<blockquote type="cite">
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
I went ahead and verified that all three constant
pressure specific heat capacities match those listed on
NIST and with the new value you gave me. Substituting
these values into the equation for 6b, I get -43.9
J/(mol*K).</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
I think I'm close, but Mastering still rejects that
answer. What should I do?</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
Thanks,
<div><br>
</div>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<hr tabindex="-1" style="display:inline-block; width:98%">
<div id="x_x_divRplyFwdMsg" dir="ltr"><font
style="font-size:11pt" face="Calibri, sans-serif"
color="#000000"><b>From:</b> Andrew J. Pounds
<a class="x_x_moz-txt-link-rfc2396E"
href="mailto:pounds_aj@mercer.edu"
moz-do-not-send="true"><pounds_aj@mercer.edu></a><br>
<b>Sent:</b> Tuesday, January 25, 2022 11:29 AM<br>
<br>
<b>Subject:</b> Re: CHM 311 HW #3 Questions</font>
<div>Â </div>
</div>
<div>
<div class="x_x_x_moz-cite-prefix">The work looks
reasonable, but you may want to check out the value of
the constant pressure specific heat capacity for
oxygen. I have that as 29.39 J/mol.K</div>
<div class="x_x_x_moz-cite-prefix"><br>
</div>
<div class="x_x_x_moz-cite-prefix">See if that fixes
things...<br>
</div>
<div class="x_x_x_moz-cite-prefix"><br>
</div>
<div class="x_x_x_moz-cite-prefix"><br>
</div>
<blockquote type="cite">
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<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
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Dr. Pounds,</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
Thank you for pointing those things out. I took
another look at the homework and was able to
understand / answer part 7b correctly. </div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
In addition, I realized (per your suggestion) that
the temperature units should be Kelvin (absolute)
and that my integrations were originally incorrect.
However, despite having made these corrections,Â
Mastering still marks part 6b incorrect. I believe
there is a minor issue that I'm not catching, but
I'm not sure what it is. </div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
Could you take another look at my revised work for
part 6b and let me know what my error(s) is?</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
Thank you,
<div>Jonathan</div>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<hr tabindex="-1" style="display:inline-block;
width:98%">
<div id="x_x_x_divRplyFwdMsg" dir="ltr"><font
style="font-size:11pt" face="Calibri, sans-serif"
color="#000000"><b>From:</b> Andrew J. Pounds
<a class="x_x_x_moz-txt-link-rfc2396E"
href="mailto:pounds_aj@mercer.edu"
moz-do-not-send="true"><pounds_aj@mercer.edu></a><br>
<b>Sent:</b> Monday, January 24, 2022 3:19 PM<br>
<br>
<b>Subject:</b> Re: CHM 311 HW #3 Questions</font>
<div>Â </div>
</div>
<div>
<div class="x_x_x_x_moz-cite-prefix"><br>
</div>
<blockquote type="cite">
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<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
Dr. Pounds,</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
I have finished working all of the problems on
HW 3 except for 6b and 7b. Before sending you an
email, I tried searching for similar problems in
the textbook but was unable to find any.</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
For 6b, I used the formula we discussed in class
today (please see the attached document), but I
might have interpreted it incorrectly. Could you
take a look at my work and let me know where I
made my mistake(s)?</div>
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
</blockquote>
<p>What temperature units should you be using?</p>
<p><br>
</p>
<blockquote type="cite">
<div
style="font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt; color:rgb(0,0,0)">
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For 7b, I attempted to use the equation we used
in class today (equation 3.30) for finding ΔG at
non-standard conditions; however, it appears to
only be valid when there is a change in
temperature. Since the reaction in exercise 7b
takes place at the same standard temperature but
at a different pressure, how does this <span
style="color:rgb(0,0,0);
font-family:Calibri,Arial,Helvetica,sans-serif;
font-size:12pt">change Equation 3.30 - or is
there another equation that should be used?</span></div>
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<p>To calculate the change on the Gibbs free energy
as a function of pressure you will need to use
equations from page 78 of the text. Since the
acetaldehyde and carbon dioxide are both products
in the reaction, they will appear in the numerator
of the law of mass action (which we will start
covering later this week).</p>
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</p>
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Thank you,</div>
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<p><br>
</p>
<div class="x_x_x_x_moz-signature">-- <br>
<b>Andrew J. Pounds, Ph.D.</b><br>
<i>Professor of Chemistry and Computer Science</i><br>
<i>Director of the Computational Science Program</i><br>
<i>Mercer University, Macon, GA, 31207 (478)
301-5627 </i></div>
</div>
</blockquote>
<p><br>
</p>
<div class="x_x_x_moz-signature">-- <br>
<b><i>Andrew J. Pounds, Ph.D.</i></b><br>
<i>Professor of Chemistry and Computer Science</i><br>
<i>Director of the Computational Science Program</i><br>
<i>Mercer University, Macon, GA 31207 (478) 301-5627</i></div>
</div>
</blockquote>
<p><br>
</p>
<div class="x_x_moz-signature">-- <br>
<b><i>Andrew J. Pounds, Ph.D.</i></b><br>
<i>Professor of Chemistry and Computer Science</i><br>
<i>Director of the Computational Science Program</i><br>
<i>Mercer University, Macon, GA 31207 (478) 301-5627</i></div>
</div>
</blockquote>
<p><br>
</p>
<div class="x_moz-signature">-- <br>
<b><i>Andrew J. Pounds, Ph.D.</i></b><br>
<i>Professor of Chemistry and Computer Science</i><br>
<i>Director of the Computational Science Program</i><br>
<i>Mercer University, Macon, GA 31207 (478) 301-5627</i></div>
</div>
</blockquote>
<p><br>
</p>
<div class="moz-signature">-- <br>
<b><i>Andrew J. Pounds, Ph.D.</i></b><br>
<i>Professor of Chemistry and Computer Science</i><br>
<i>Director of the Computational Science Program</i><br>
<i>Mercer University, Macon, GA 31207 (478) 301-5627</i></div>
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