Homework 7
Problem 7.1: Isothermal and adiabatic compressibility
as
1 V
KT =
V
p T
The isothermal compressibility is defined
(1)
KT is be found by measuring the fractional change in volume when the the pressure is slightly changed with
the temperature he
Homework 1
Ice Calorimetry Lab
In this lab, we will be measuring how much energy it takes to melt ice and heat water.
Materials:
2 digital multimeters
A
Styrofoam cup
Temperature gauge
Heating element
Scale
V
Ice and water
The setup You will put som
Homework 2
Problem 2.1:
Heat and work For each of the following processes, solve for the heat or work done.
a) A system expands from volume V0 to volume Vf . During this process the pressure is given by
p=
N kB T
V
(1)
where kB T and N are constant. How m
Homework 5
Problem 5.1 (practice): Power from the ocean It has been proposed to use the thermal gradient of
the ocean to drive a heat engine. Supoose that at a certain location the water temperature is 22o C at the
ocean surface and 4o C at the ocean floo
Homework 9
Problem 9.1: Rotational energy of a rigid rotor A rigid rotor (technical name for the quantum
system that describes the rotation of a diatomic molecule such as N2 or O2 )
H=
h2 2
L
2I
(1)
has discrete states with energy levels
Elm =
2 l(l + 1)
Homework 4
Special due date: Monday, November 14, 4pm
Reminder: Quizzes will be based on previous homework problem. Big hint: For this homework set problem
4.1 looks especially quiz worthy!
Problem 4.1: Zapping with a d
relating differentials.
Zap each of
Homework 8
Problem 8.1: A non-ideal gas The equation of state of a gas that departs from ideality can be approximated by
N kT
N B2 (T )
p=
1+
V
V
where
B2 (T ) is called the second virial coefficient which increases monotonically with temperature. Find
U
Homework 3
Problem 3.1: Partial derivative machine From the data you took from the partial derivative machine
(PDM) for one of the constant values of x1 , answer the following questions. If your data is not good enough,
use our data below, collected by Pa
Energy and Entropy Homework 4
Due Friday 4/26
Problem 4.1 Entropy change (quiz) For the following processes, in which the system
is designated in italics :
Is the change in entropy of the system positive, negative, zero or impossible to determine?
Is th
Energy and Entropy Homework 3
Due Wednesday 4/24
Problem 3.1 Heat revisited (quiz)
Tf
Path A
T
T0
Path B
a)
S0
Sf
S
The plot above shows two paths from an initial state state described by S0 and T0 to
a nal state given by Sf and Tf . Consider the heat add
Energy and Entropy Homework 2
Due Wednesday 4/17
Problem 2.1 First Law (quiz)
a) You heat an insulated piston with a resistor. You run 5 A through the resistor at
10 V for a total of 10 seconds. The pressure is xed at 1 Pa (which is one N/m2 ). If
the sys
Energy and Entropy Homework 1
Due Friday 4/12
Problem 1.1 Power series (quiz) Write down the rst two non-zero terms in the power
expansion of the following functions.
a)
1
1x
b)
log(1 + x)
c)
cos(x)
d)
sin(x)
Problem 1.2 Limiting cases (quiz) For each of
Homework 6
Problem 6.1: Free expansion The internal energy is of any ideal gas can be written as
U = U (T, N )
(1)
meaning that the internal energy depends only on the number of particles and the temperature, but not the
volume.1 The ideal gas law
pV = N