Give the equation for the Helmholtz energy, A. (Use the following as necessary: S, T, and U.)A = U-TS- TSGive the equation for entropy that contains the canonical partition function, Q. (Use the following as necessary: E, kB, Q, and T.)EES = k ln(Q) +BkB ln (Q) +Step 2 of 7We only need to consider the translationaltranslational partition function for an ideal monatomic gas, so E = U - Uo.Combine this equation with the equations for S and A from Step 1. (Use the following as necessary: KB, Q, T, U, and Up.)A =|— Tkôln(Q) + UU₁ - KBT ln(Q)Step 3 of 7Substitute the equation from Step 2 into the given equation for P and complete the partial derivative. (Use the following as necessary: kB, Q, T, U, and Up.)-(SA),P = -a In(Q)). KBT=KBTStep 4 of 7For an ideal monatomic gas, the following is true. (Use the following as necessary: T, U, and V.)(U) = UT-0Step 5 of 7Give the equation for the canonical partition function Q. Remember that only the translational partition function needs to be considered for an ideal monatomic gas. (Use the following as necessary:e, h, kB, m, N, T, T, and V.)Q =

To provide the partition function Q for an ideal monoatomic gas considering only the transitional…

Step 5 of 7 Give the equation for the canonical partition function Q. Remember that only the translational partition function needs to be considered for an ideal monatomic gas. (Use the following as necessary: e, h, kg, m, N, T, T, and V.) Q=

Step 5 of 7 Give the equation for the canonical partition function Q. Remember that only the translational partition function needs to be considered for an ideal monatomic gas. (Use the following as necessary: e, h, kg, m, N, T, T, and V.) Q=

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

Give the equation for the Helmholtz energy, A. (Use the following as necessary: S, T, and U.)
A = U-TS
- TS
Give the equation for entropy that contains the canonical partition function, Q. (Use the following as necessary: E, kB, Q, and T.)
E
E
S = k ln(Q) +
B
kB ln (Q) +
Step 2 of 7
We only need to consider the translational
translational partition function for an ideal monatomic gas, so E = U - Uo.
Combine this equation with the equations for S and A from Step 1. (Use the following as necessary: KB, Q, T, U, and Up.)
A =
|— Tkôln(Q) + U
U₁ - KBT ln(Q)
Step 3 of 7
Substitute the equation from Step 2 into the given equation for P and complete the partial derivative. (Use the following as necessary: kB, Q, T, U, and Up.)
-(SA),
P = -
a In(Q)). KBT
=
KBT
Step 4 of 7
For an ideal monatomic gas, the following is true. (Use the following as necessary: T, U, and V.)
(U) = UT
-
0
Step 5 of 7
Give the equation for the canonical partition function Q. Remember that only the translational partition function needs to be considered for an ideal monatomic gas. (Use the following as necessary:
e, h, kB, m, N, T, T, and V.)
Q =

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