HOMEWORK 3 (Due on Sep. 19 at beginning of class)
1. A cylinder A, having VA = 30 litres of an ideal monoatomic gas, is connected to a second
cylinder, B, of circular cross-section, as shown in Fig. 3
1
PHYS 3141 MIDTERM EXAM
September 26, 2012
NAME:
1. (15 pts) Using the rst law of Thermodynamics, the equation of state and the specic
heat capacities, show that for an ideal gas:
cP = cV + R
where c
1
PHYS 3141 MIDTERM EXAM
SOLUTIONS
1. (15 pts)
First law: dU = dQ + dW
Ideal gas:
U=
N RT = N cV T
2
cV =
dQ
dT
=
V
1
N
U
T
=
V
R
2
dU = N cV dT
Heat capacity at constant pressure:
cP =
1
N
dQ
dT
dQ
Phase Transitions and Phase Diagrams
One-component systems
Enthalpy and entropy dependence on P and T
Gibbs free energy dependence on P and T
Clapeyron equation
Understanding phase diagrams for one-co
Free Energy. Thermodynamic Identities. Phase Transitions.
Free Energy. Thermodynamic Identities. Phase Transitions.
Relevant sections in text: 5.15.3
Helmholtz Free Energy
Thus far we have studied two
Reversible and
irreversible processes
Physics 110 - Entropy
28 September 2011
Isolated systems
thermal reservoir
may exchange heat
temperature does not change
battery
reversibly stores work
engine
1
Solutions to sample quiz problems and assigned problems
Sample Quiz Problems
Quiz Problem 1. Prove the expression for the Carnot eciency for a perfectly reversible Carnot cycle using an
ideal gas.
S
P K Nag Exercise problems - Solved
Thermodynamics
Contents
Chapter-1: Introduction
Chapter-2: Temperature
Chapter-3: Work and Heat Transfer
Chapter-4: First Law of Thermodynamics
Chapter-5: First Law
HOMEWORK 5 (Due on Oct. 12 at beginning of class)
1. Consider the free expansion (Q = 0 = W ) of a compressible uid. You can show this process
is irreversible by bringing the uid back to its original
HOMEWORK 4 (Due on Sep. 28 at beginning of class)
Where you require data on the thermodynamic properties of water, refer to Fig. B3 in Appendix
B of the book (attached graph at the end of the assignme
HOMEWORK 6 (Due on Oct. 26 at beginning of class)
1. Show that for a refrigerator cycle:
Q1 Q2
+
0
T1
T2
2. (a) A solid of mass m has specic heat c. Show that the change in the entropy of the mass
whe
HOMEWORK 7 (Due on Nov. 9 at beginning of class)
1. For a photon gas:
U=
4/3
3
4
1/3
c
4
S 4/3
V 1/3
(1)
where is the Stefan-Boltzmann constant,
=
4
2 5 kB
15h3 c2
with c the speed of light, kB Boltzm
Electronics Lab Manual
Laboratory 10
Digital Circuits
Name:
Section:
PURPOSE
1. Observe the operation of a NAND gate.
2. Design and build a circuit to produce the magnitude of 3-bit number.
3. Design