Show that PV is the characteristic thermodynamic function of
Ξ (the grand canonical partition
function) then derive expressions for S, N, and P in terms of
Ξ.
Evaluate the partition function of a classical ideal gas
consisting of N molecules of mass m confined to a cylinder of
vertical height L which is in a state of thermal equilibrium at
constant temperature T in a uniform gravitational field of
acceleration g. Calculate the specific heat and why it is larger
than the free space value.
Consider a monoatomic ideal gas of N moles in a gas cylinder
eqilibrated at temperature T1 and pressure P1 by a mass placed on
the piston. Upon removal of the mass , the gas reaches a new
eqilibrium pressure P2 (<P1). Calculate the amount of work done
by the gas on the surroundings for the following processes.
( You must express your answer in terms of the given
variables.)
1. a nonquasistatic isothermal process (sudden removal of the
mass)
2....
Four moles of a monoatomic ideal gas in a cylinder at 27 degrees
Celsius is expanded at constant pressure equal to 1 atm until its
volume is doubled.
a) What is the change in internal energy?
b) How much work was done by the gas in the process?
c) How much heat was transferred to the gas?
One mole of a monoatomic, ideal gas at initial pressure
P0 and volume V0 goes to
2P0 a) along the path PV = constant,
and b) at constant volume. Find the heat added to the gas in each
case.
Topic:Physics statistics
Give definition of chemical potential. Calculate the canonical
partition function and chemical potential of a classic N-particle
ideal gas
A monoatomic, ideal gas in a sealed, rigid container is heated
until its temperature rises from 50oC t0
100oC. If the initial pressure is 1 atm., find the final
pressure.
To derive the ideal-gas equation, we assume that the volume of
the gas atoms/molecules can be neglected.
Given the atomic radius of krypton, 1.1 Å, and knowing that a
sphere has a volume of 4πr3/3, calculate the fraction of space that
Kr atoms occupy in a sample of krypton at STP. Express your
answer using two significant figures.