Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 21, Problem 14SP
To determine
The change in entropy, if two moles of gas undergoes an isothermal free expansion results in doubling in volume.
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Students have asked these similar questions
I have answered b but I got 4.33 Kg for A and not correct
(a) What is the entropy of an Einstein solid with 4 atoms and an energy of 18ε? Express your answer as a multiple of kB .
The entropy of the solid is ______ kB.(b) What is the entropy of an Einstein solid in a macropartition that contains 9 ×10 e690 microstates? Express your answer as a multiple of kB.
The entropy of the solid is 1590.92kB.
The Joule-Kelvin coefficient that determines the performance of a gas in a throttling process is defined as
μ_JK = (∂T/∂p)_H where H is enthalpy.
Show that μ_JK= 0 for an Ideal Gas.
[HINT: You will need to form an expression for H, and use the differential calculus cyclic relation to correctly form this partial derivative for μJK]
Problem 1:
In statistical mechanics, the internal energy of an ideal gas is given by:
N.
aNkB
2/3
(3NKB
U = U(S,V) =
е
where a is a constant.
1- Show that the variation of the internal energy is given by:
2
dS -
\3V
2
dU =
dV
\3NkB
2- Using the fundamental relation of thermodynamic dU = T.ds – p. dV, show that the equation of
state PV = nRT follows from the first expression of U.
Chapter 21 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 21 - 21.8 [I] Compute the entropy change of 5.00 g of...Ch. 21 - 21.9 [I] Heat in the amount of 100 kJ is...Ch. 21 - 21.10 [I] Heat in the amount of 100 kJ is...Ch. 21 - 21.11 [I] Heat in the amount of 100 kJ is...Ch. 21 - 21.12 [I] Imagine a flexible chamber containing...Ch. 21 - 21.13 [II] An insulated chamber (allowing no...Ch. 21 - Prob. 14SPCh. 21 - 21.15 [I] By how much does the entropy of 300 g...Ch. 21 - 21.16 [II] An ideal gas was slowly expanded from...Ch. 21 - 21.17 [II] Starting at standard conditions, 3.0...
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- define the chemical potential in terms of derivatives of the ĈE energy E and enthalpy H. For a one component system, these are u= ON and Evaluate these expressions for an ideal gas and compare to ON µ = -kT In (kT/PA³ ) from H=| P,s OF and |= 1 TP ON v.rarrow_forwardProblem #2 For heat exchange between a thermal reservoir at 300 K and a constant volume system containing one mole of monatomic ideal gas: a) Derive the equation for the total change in entropy for a designed initial system temperature Tj. b) Plot AStotal vs. Tsys for the initial system temperature ranging from 160 K to 500 K in increments of 10 K (i.e., Tsys = 160 K, 170 K, ... , 500 K). Use Matlab, Excel or similar plotting software for your plot. Label the plot axes and include units. %Darrow_forwardA container of neon gas has the following properties: (1) 2.4 moles (2) T = 400 K (3) p = 0.8 atm. Calculate the entropy in J K-1 as a number in normal form accurate to 1 decimal place (X.X or XX.X, etc.). Do not include units in your answer. USE THE EXACT METHOD IN THE PICTURE BELOW, JUST SUB IN THE NEW VALUES IN THE QURSTION AND REPLACE THEM IN THE IMAGE PROVIDED.arrow_forward
- 1.9. Making use of the fact that the entropy S(N, V, E) of a thermodynamic system is an extensive quantity, show that as as as N (³N) VE + V ( ³5 ) N.F + E (³E) N.V av Note that this result implies that (-Nµ+ PV + E)/T = S, that is, Nμ = E + PV - TS. = S.arrow_forwardFor either a monatomic ideal gas or a high-temperature Einstein solid, the entropy is given by Nk times some logarithm. The logarithm is never large, so if all you want is an order-of-magnitude estimate, you can neglect it and just say S - Nk. That is, the entropy in fundamental units is of the order of the rv number of particles in the system. This conclusion turns out to be true for most systems (with some important exceptions at low temperatures where the particles are behaving in an orderly way). So just for fun, make a very rough estimate of the entropy of each of the following: this book (a kilogram of carbon compounds); a moose (400 kg of water); the sun (2 x 1030 kg of ionized hydrogen).arrow_forwardQ.17 Consider two identical, finite, isolated systems of constant heat capacity C at temperatures T, and T2 (T> T:). An engine works between them until their temperatures become equal. Taking into account that the work performed by the engine will be maximum (= Wmax) if the process is reversible (equivalently, the entropy change of the entire system is zero), the value of Wmax is: (A) C(T, – T2) (B) C (T, – T2)/2 (C) C(T, + T2 -- T;T2) (D) C(/T, - T)arrow_forward
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