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 t
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 temp
Homework 3 Solutions
Problem 3.1: Elevator The table of data in the spreadsheet (available on the course website and reproduced in the table below)shows the value of each state variable at different p
Interlude Homework 2
Due 11/3/17 4 pm
REQUIRED:
1. Consider the diagram of p vs V for different constant values of T (blue) and of S
(green). The system under consideration is a gas in a pistonbut not
Homework 5 Solutions
Problem 5.1 (practice): Simple cycle in S-T diagram (This problem is identical to the in class
group exercise.)
Consider the cycle below. This cycle represents a heat engine, in w
Homework 4 Solutions
Problem 4.1 (practice):
First Law
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 fixed at 1 P
Homework 6 Solutions
Problem 6.1 (practice): Thermodynamic potentials and Maxwell relations
modynamic potentials defined as
For the three ther-
F = U TS
Helmholtz free energy
(1)
H = U + PV
Enthalpy
(
Homework 8 Solutions
Problem 8.1: Boltzmann ratios At low temperatures, diatomic molecule can be well described as a
rigid rotor. The Hamiltonian of such a system is simply proportional to the square
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 ele
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
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 i
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
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 p
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
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 posi
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
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
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.
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)
h
Homework 7 Solutions
Problem 7.1: Bungee A physics major carefully measures the tension in a Bungee cord over a range of
temperatures from room temperature to the boiling point of water. She examines