In: Physics
Assume that the surface tension of water is γ=70 mN/m.
(a) Calculate the internal pressure of a water droplet of radius 1μm suspended in air at atmospheric pressure.
(b) Show that if a pure fluid is assumed to be incompressible, the chemical potential of a fluid molecule can be written as
μ(T,P) = μ0(T)+vP,
where v is the specific volume of the molecule, and P is the pressure.
(c) The vapour pressure of bulk water is 0.02atm at temperature 20 °C. Calculate the vapour pressure of a water droplet of radius 1μm. The molar volume of water is 18 cm3/mol.