At T = 100 oC, liquid water is in equilibrium with water vapor
with p = 1 atm = 1.01* 105 Pa.
The density of liquid water is
103 kg/m3. The molecular weight of water is 0.018 kg/mole.
Consider a cylinder of water (liquid +vapor) held at T = 100 oC.
There is kg total mass of water (in all forms) in the cylinder.
(Assume pV = NkBT, where N is the number of molecules
and use 2256000 J/kg for the latent heat
of vaporization of water.)
a) What is the volume when all of the water is liquid?
V = m3
b) As the volume is increased, at what volume
does the last of the liquid water turn to vapor?
V = m3
c) If heat is added (vaporizing the liquid) so that the
water expands from the volume in part (a) to the volume
in part (b), keeping T and p constant,
slowly forcing a piston outwards, how much work is done
on the piston?
W = J
d) How much heat had to flow into the system
in the process in part (c)?
Q = J
e) How much did the internal energy
of the water change in this process?
DU = J
