PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
Question
Book Icon
Chapter 38, Problem 32P

(a)

To determine

Proof of P=25NEFV=CV5/3 .

(a)

Expert Solution
Check Mark

Answer to Problem 32P

The proof of P=25NEFV=CV5/3 has been determined.

Explanation of Solution

Given:

The monatomic ideal-gas relation is,

  PV=23NEav   ..... (1)

The Fermi energy from equation 38-22b is,

  EF=(0.3646eVnm2)(NV)2/3 …... (2)

The average energy from equation 38-23 is,

  Eav=35EF   ..... (3)

Calculation:

From equation (1) and (3),

  PV=23N(35EF)PV=25NEFP=25NEFV   ..... (4)

From equation (4) and (2),

  P=25NV(0.3646eV nm2)( N V)2/3=(0.3646eV nm2)25( N V)5/3=(0.3646eV nm2)25N5/3V5/3=CV5/3   ..... (5)

Hence, equation P=25NEFV=CV5/3 is proved.

Conclusion:

Therefore, the proof of P=25NEFV=CV5/3 has been determined.

(b)

To determine

Proof of B=53P=23NEFV .

(b)

Expert Solution
Check Mark

Answer to Problem 32P

The proof of B=53P=23NEFV has been determined.

Explanation of Solution

Given:

The expression of bulk modulus is,

  B=VPV   ..... (6)

From equation (5) and (6),

  B=V( C V 5/3 )V=V(53CV 8/3)=53CV5/3=53P(P=CV 5/3 )

Substitute value of P from equation (4) in above equation,

  B=53(25 N E F V)=23NEFV   ..... (7)

Conclusion:

Therefore, the proof of B=53P=23NEFV has been determined.

(c)

To determine

The bulk modulus for copper.

(c)

Expert Solution
Check Mark

Answer to Problem 32P

The bulk modulus for copper is 63.6×109N/m2 .

Explanation of Solution

Given:

The value of N/V for Copper from Table 38-1 is N/V=84.7electrons/nm3

The Fermi energy for copper from Table 38-1 is EF=7.03eV

Calculation:

From equation (7), the bulk modulus for copper is calculated as,

  B=23(84.7electrons/ nm 3)(7.03eV)=23(84.7× 10 27electrons/ m 3)(7.03eV)( 1.602× 10 19 Nm 1eV)=63.593×109N/m263.6×109N/m2

Comparison of 63.6×109N/m2 with 140×109N/m2 is,

  140×109N/m263.6×109N/m2=2.2

Conclusion:

Therefore, the bulk modulus for copper is 63.6×109N/m2 .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
I need help with problems 93 and 94
Since the instruction says to use SI units with the correct sig-fig, should I only have 2 s for each trial in the Period column? Determine the theoretical period of the pendulum using the equation T= 2π √L/g using the pendulum length, L, from Data Table 2.  Calculate the % error in the periods measured for each trial in Data Table 2 then record
A radiography contingent are carrying out industrial radiography. A worker accidentally crossed a barrier exposing themselves for 15 seconds at a distance of 2 metres from an Ir-192 source of approximately 200 Bq worth of activity. What dose would they have received during the time they were exposed?
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Text book image
University Physics Volume 2
Physics
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Text book image
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning