Problem Set 1
3.20 MIT
Professor Gerbrand Ceder
Fall 2003
LEVEL 1 PROBLEMS
Problem 1.1
The internal energy per kg for a certain gas is given by
U = 0.17T + C
where U is in kJ/kg, T is in Kelvin, and C is a constant.
a) If the gas is heated in a rigid cont

Problem Set 2 3.20 MIT Professor Gerbrand Ceder Fall 2003
LEVEL 1 PROBLEMS
Problem 1.1 In class we have dened the Legendre transforms of the energy U(S,V). It is also possible to dene Legendre transforms in the entropy representations, starting from the f

Problem Set 1 Solutions 3.20 MIT Professor Gerbrand Ceder Fall 2002 Fall 2001
LEVEL 1 PROBLEMS
Problem 1.1
Gas is heating in a rigid container from To = 40 C to T1 = 315 C
U = U (T1 ) (a) W = 0 Since only PV work is possible & Q= Q=
U (To ) = W + Q
(First

Massachusetts Institute of Technology
DEPARTMENT OF MECHANICAL ENGINEERING
2.611/612 SHIP POWER AND PROPULSION
Problem Set 6 Solutions 2006
1. Describe the advantages and disadvantages of using a Gas Turbine vs. a Diesel
Engine.
Advantages in general (not

Problem Set 2
Solutions
3.20 MIT
Professor Gerbrand Ceder
Fall 2003
Problem 1.1
S(U, V ) : dS =
1
P
dU + dV
T
T
1
Variables here are U and V and intensive variables are T and P .
T
1
To go to T as a natural variables take the Legendre transform by subtrac

Problem Set 3
Solutions
3.20 MIT
Professor Gerbrand Ceder
Fall 2001
Fall 2003
Problem 1
There are two steps to solving this problem
(1) What is the pressure difference in terms of the height?
(2) What is the height of the hill?
Use the following form of t

Massachusetts Institute of Technology
DEPARTMENT OF MECHANICAL ENGINEERING
Center of Ocean Engineering
2.611 SHIP POWER and PROPULSION
Fall 2006, Quiz 1 - Solutions
1) (20 pts)
a) Discuss how Controllable Reversible Pitch (CRP) propellers can help prevent

Question I:
Consider a closed system at constant volume composed ofa veiy large number N of
distinguishable subsystem which do not interact with each other upon forming the larger
system. The subsystem can be only be in one oftwo energy states: E = 0, or

Group Problems #1
Reciation 3.091
Fall 2003
From McQuarrie:
Highly Advised
318
324
326
48
412
Advised
34
310
312
42
46
54
59
Problem 1
A system consists of N noninteracting atoms. Each atom may be in two states, a low energy
state with energy, E = 0 and a