THERMODYNAMICS: MIDTERM 1 - REVIEW SHEET
Thermodynamics: The science of energy and entropy. The science of heat and work and those properties of substances
that bear a relationship to heat and work.
System: A quantity of mass of fixed identity.
Surroundin
MTH 3201 Midterm Test 2: Fall 2010
Solutions
1
Use Laplace transforms to solve the initial boundary value problem for the wave equation:
utt c2 uxx = 0,
0 < x < +,
u(x, 0) = ut (x, 0) = 0,
0 < x < +
(1.2)
t>0
(1.3)
t>0
(1.4)
u(0, t) = f (t),
lim u(x, t) =
MTH 3201 Midterm Test 1: Spring 2010: Solutions
1
First Problem
Solve the heat equation ut = 9uxx for a rod of length with both ends held at zero temperature (zero Dirichlet
boundary conditions) if the initial temperature is given by (x) = x( x). First, f
Name: (“+13 H
Fall 2013 Dr. Bruce Vu
MAE-3191-E1: Engineering Thermodynamics
Quiz 2
(Open books, open notes)
1. To keep the house warm, a heat pump with a coefﬁcient of performance equal to 1.8
has been constructed and requires 12 kW of power to operate.
Name: €qu ’7 'o )9
Fall 2013 Dr. Bruce Vu
MAE-3191-E1: Engineering Thermodynamics
Midterm Exam 2
(Open books, open notes)
1. (20%) Oxygen gas (02) is compressed from an initial state of 100 kPa and 400 K to
a ﬁnal state of 500 kPa and 700 K. Determine the
MTH 3201 Midterm Test 2: Fall 2010
Solutions
1
Use Laplace transforms to solve the initial boundary value problem for the wave equation:
utt c2 uxx = 0,
0 < x < +,
u(x, 0) = ut (x, 0) = 0,
0 < x < +
(1.2)
t >0
(1.3)
t >0
(1.4)
ux (0,t) = f (t),
lim u(x,t)