3. For a van der Waals gas,V.show that Z=-amVm-b RTVm11-x(b) Using the Taylor seriesthe limit of V»b to obtain Z=1+b-mthen do the Taylor series expansion.)-≈1+x_when x«1, express the first term of Z in Taylor series in1(1/Vm) (Hint: cast the first term into1-b/V,aRTm

Answered: Image /qna-images/answer/14886166-eb98-4edc-a3ed-4b103b7fbd00.jpg

3. For a van der Waals gas, m show that Z= a V-b RTV, m m 1 (b) Using the Taylor series -≈ 1+x_when_x «1, express the first term of Z in Taylor series in 1-x a RT the limit of V»>b_to obtain Z=1+ b¬ (1/Vm) (Hint: cast the first term into m then do the Taylor series expansion.) 1 1-b/V, ✔ m

3. For a van der Waals gas, m show that Z= a V-b RTV, m m 1 (b) Using the Taylor series -≈ 1+x_when_x «1, express the first term of Z in Taylor series in 1-x a RT the limit of V»>b_to obtain Z=1+ b¬ (1/Vm) (Hint: cast the first term into m then do the Taylor series expansion.) 1 1-b/V, ✔ m

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

3. For a van der Waals gas,
V.
show that Z=-
a
m
Vm-b RTVm
1
1-x
(b) Using the Taylor series
the limit of V»b to obtain Z=1+b-
m
then do the Taylor series expansion.)
-≈1+x_when x«1, express the first term of Z in Taylor series in
1
(1/Vm) (Hint: cast the first term into
1-b/V,
a
RT
m

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