A 20.00 mol sample of gaseous ethanol is held at 5.50 x 10² K in a cylinder with a piston set such that the volume is 12.00 L. The ethanol expands isothermally and reversibly to a final volume of 45.00 L. Consider ethanol as an ideal gas. Plot the relevant indicator diagram (Make life easier, use a spreadsheet! Be sure to follow the guidance provided in Bonus Lesson 2, part A!). Then, determine the value of the quantities q, w, and AU (signs are important!) for this expansion.

Chemistry
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Chapter6: Thermochemistry
Section: Chapter Questions
Problem 124CP: Consider 2.00 moles of an ideal gas that are taken from state A (PA = 2.00 atm, vA = 10.0 L) to...
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I got -46.7 KJ for part a but +100 KJ for part b (the van der waals version), I probably missed a negative sign somewhere, this question is for both a and b

Now consider the same expansion treating ethanol as a van der Waals gas. (Look up the
van der Waals parameters in E&R appendix Table 7.4). Generate an indicator diagram
(ideally, combine this indicator diagram with the one above, so that both curves will be
in the same graph.) Next, you will need to derive an expression for the work associated
with isothermal expansions (or compressions) on a van der Waals gas. This equation
will be analogous to w = nRT In for an ideal gas. (Yes, you will need to work out an
Vi
integral; see the Bonus Lesson 2 part B document for guidance, if necessary.) Calculate
q, w, and AU for the expansion.
[HINT: for determining AU, you should start with the total differential expression and think about how
you can determine the values of the various partial derivatives. In some cases, you have already worked
with these values for other examples, so you just need to incorporate the relevant specific quantities for
this case.]
Transcribed Image Text:Now consider the same expansion treating ethanol as a van der Waals gas. (Look up the van der Waals parameters in E&R appendix Table 7.4). Generate an indicator diagram (ideally, combine this indicator diagram with the one above, so that both curves will be in the same graph.) Next, you will need to derive an expression for the work associated with isothermal expansions (or compressions) on a van der Waals gas. This equation will be analogous to w = nRT In for an ideal gas. (Yes, you will need to work out an Vi integral; see the Bonus Lesson 2 part B document for guidance, if necessary.) Calculate q, w, and AU for the expansion. [HINT: for determining AU, you should start with the total differential expression and think about how you can determine the values of the various partial derivatives. In some cases, you have already worked with these values for other examples, so you just need to incorporate the relevant specific quantities for this case.]
2. A 20.00 mol sample of gaseous ethanol is held at 5.50 x 10² K in a cylinder with a piston set
such that the volume is 12.00 L. The ethanol expands isothermally and reversibly to a final
volume of 45.00 L.
Consider ethanol as an ideal gas. Plot the relevant indicator diagram (Make life easier,
use a spreadsheet! Be sure to follow the guidance provided in Bonus Lesson 2, part A!).
Then, determine the value of the quantities q, w, and AU (signs are important!) for this
expansion.
Transcribed Image Text:2. A 20.00 mol sample of gaseous ethanol is held at 5.50 x 10² K in a cylinder with a piston set such that the volume is 12.00 L. The ethanol expands isothermally and reversibly to a final volume of 45.00 L. Consider ethanol as an ideal gas. Plot the relevant indicator diagram (Make life easier, use a spreadsheet! Be sure to follow the guidance provided in Bonus Lesson 2, part A!). Then, determine the value of the quantities q, w, and AU (signs are important!) for this expansion.
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