PROBLEM SET 0
. Consider the function i
Z = my . (1)
Form the differential of Z, and determine whether the differential is exact or not by
construction a path in the my plane and computing the integral between two points by . ‘
taking two d
HEW m: Fusia-J 32.0
PROBLEM SET 8
A brick of heat capacity (c p) = (:1 at T1 is placed in contact with another brick at T2
of heat capacity (:3 (T1 > T2).
a) Find the ﬁnal temperature T; of the bricks.
b) Calculate A3 of the bricks in terms
PROBLEM SET 7
1. A frictionless cylinder contains 1 mole of ideal gas plus a spring that obeys Hook’s Law
VH1] = % ML - L012
a) Find the equation of state V = 7331"] that an ignorant observer would measure
PROBLEM SET 5
. What is the change of entropy when 50 g of hot water at 80°C is poured into 100 g of
cold water at 10°C in an insulated vessel? Take 0, : 75 - 5 J K‘1 moi”.
. Preve that for a Carnot engine operating between twoheat reservoi
PROBLEM SET 6
L A given system is such that quasi—static adiabatic change in the volume at constant
mole numbers is found to change the preSSure in accordance with the equation.
P = constant V's”
Find the quasi-static work done on the syste
PROBLEM SET 3
2. Find vRMS for N2 at 300 K.
3. Find the following for a Maxwellian Distribution
a) E d) 213 71,
b) E n e) 72% 123
c) 12, v2 f) (2295 + buy)2 b = const
Do not evaluate any integrals explicitbly. Use the fa
PROBLEM SET 4
1. What is the viscosity of air at OK, 298K, 1000K? Takea = 0.28 nm2 <1pP : 104%).
2. What is the internal energy of an ideal gas of rigid rotors (a) in 3-dimensions, (b) in
3' The ViSCOSity 0f H2 at 0°C and l
PROBLEM SET 1
. What is the difference between AH and AU for heating 1 mole Zn from 25°C to 98°C
at a pressure of 1.00 bar. Zn goes from a molar volume 9.16 ml/mol to 9.22 ml/mol
for this temperature change.
. Repeat calculation for 1 mole
Problem Set #2
1. A piston sits at a distance d from the end of a cylinder. At this position, the external
and internal pressures in the cylinder are both equal and have a value of P0. .Give a
formula for the force when the piston (assumed
Kinetic Theory of Gases
Molecules have forces between each other
Direction of motion is random
Velocities have distributions; (not all molecules have same velocity or speed)
Collisions with walls are perfectly elastic
Eusion of ideal gases