P317 Assignments, K07
Assignment 1, due May 16 in class. Carter problems 1.2, 1.6, 1.9, 2.6, 2.8, 2.11
Assignment 2, due May 23 in class. Carter problems 3.3, 3.4, 3.6, 3.8, 3.10, 3.11
Assignment 3, due May 30 in class. Carter problems 4.1, 4.5, 4.9, 4.10, 4.13, 4.15
Assignment 4, due June 6 in class. Carter problems 5.7, 5.10, 5.11, 5.13, 5.14, 5.15
Assignment 5, due June 15 in class. Carter problems 6.2, 6.5, 6.6, 6.8, 6.11, 6.13
Assignment 6, due June 26 in class. Carter problems 7.3, 7.7, 7.10, 7.11, 7.15, 7.17
Assignment 7, due July 6 in class. Carter problems
8.2, 8.7, 8.10, 8.11, 8.14
Additional problem:
determine the specific Gibbs function for a solid with constant
specific heat cP and equation of state v = v0*[1 + beta*(T-T0) - kappa*(P-P0)]
where beta and kappa are constant.
Assignment 8, due July 17 in class. Carter problems
9.2, 9.6, 9.8, 9.10, 9.11
Additional question: The tension in a string is related to the string
length and temperature by the following equation of state:
L = L0[ 1 + F/(YA) + a(T-T0) ] where L0 is the length at zero tension,
Y is a constant, A is the cross-sectional area of the string, F is the
string tension and a is the coefficient of linear expansion, which
we take as constant. The work in changing the length of the string
by an amount dL is d'W = -F dL. Find the change in entropy of the
string when it is stretched from length L0 to length L1 while kept
at constant temperature.
Assignment 9, due July 25 in class. Carter problems
10.2, 10.5, 10.6, 10.7
Additional question 1:
The equation of state of a gas of photons is P = u/3.
The energy equation is U = uV. In each case u = u(T) = sigma*T^4.
Determine the following quantities for a photon gas:
a) coefficient of volume expansion
b) isothermal compressibility
c) heat capacity at constant volume
d) heat capacity at constant pressure
e) Can this equation of state hold in the low temperature limit?
Additional question 2: A gas is described by the
following specific Gibbs function
g = g_0 - s_0*T - c_v*T*ln(T) + c_v*T + R*T*ln(P+a) + b*P
where g_0, s_0, c_v, R, a and b are constants.
A sample of n kilomoles of this
gas is initially confined to 1/2 of a rigid, isolated
container. The total volume of the container is 2*V_0 and the initial
temperature of the gas is T_0.
Determine the change in entropy of the gas
when the membrane confining the gas to 1/2 of the container is removed.
Express your answer in terms of given information.