A diatomic ideal gas has initial pressure piand initial volume V1. The gas thenundergoes a series of three transformations:a) Sketch this cycle of transformations on a p-Vdiagram.• First, a bunsen burner causes the gas toexpand, at constant pressure, to volume7V1.b) Find the temperature at all three "corners" ofthe cycle. Express all three temperatures interms of p1, Vi, and N.• Next, the volume is held constant while anice bath lowers the pressure to p1/4.c) Find AEi, the change in the internal energy ofthe gas during transformation (i). Likewise,find AEi and AEs. (Express all three answersin terms of pi and V1.)• Finally, a water bath allows the gas to becompressed along a straight line in the p-V plane, until the pressure and thevolume return to their initial values.d) Add up the three changes in internal energy:AE: + AEu + AEsi. Why do you get zero for thetotal change in internal energy over the cycle?

Answered: cycle of transformations on a p-V and…

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

A diatomic ideal gas has initial pressure pi
and initial volume V1. The gas then
undergoes a series of three transformations:
a) Sketch this cycle of transformations on a p-V
diagram.
• First, a bunsen burner causes the gas to
expand, at constant pressure, to volume
7V1.
b) Find the temperature at all three "corners" of
the cycle. Express all three temperatures in
terms of p1, Vi, and N.
• Next, the volume is held constant while an
ice bath lowers the pressure to p1/4.
c) Find AEi, the change in the internal energy of
the gas during transformation (i). Likewise,
find AEi and AEs. (Express all three answers
in terms of pi and V1.)
• Finally, a water bath allows the gas to be
compressed along a straight line in the p-
V plane, until the pressure and the
volume return to their initial values.
d) Add up the three changes in internal energy:
AE: + AEu + AEsi. Why do you get zero for the
total change in internal energy over the cycle?

Expert Solution

Step 1

P-V diagram are drawn to understand the behavior of gas at certain value of pressure and volume because they are very important thermodynamic terms and slope of this diagram gives an idea of temperature because according to boyles law at constant temperature ( isothermal process) Pressure is directly proportional to volume.

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