N monoatomic atoms adsorbed on a surface are free to move on this
surface. To a
good approximation, the system can be treated as a two-dimensional
classical ideal gas
constrained to occupy an area A. The system is at temperature T.
Calculate the partition
function of the system. Using this, find an expression for the heat
capacity of one mole
of the system. If one mole of this system were instead confined to a
three-dimensional
volume, will the amount of heat energy required to raise the
temperature of the system
by 1 0 K be more, or less?