(Solved): Sample problem: Surface tension of water at 20C is 7.27102Nm1 and its density is 0.998 ...
Sample problem: Surface tension of water at 20?C is 7.27×10?2Nm?1 and its density is 0.998gcm?3. Calculate the ratio between the vapor pressure of a mist droplet having a mass of 10?12g and vapor pressure of water at the plane surface? (Hint. Use Kelvin equation) Solution: P/P0=1.002?RTlnp0p?=Rm??VBulk ??
To calculate the ratio between the vapor pressure of a mist droplet and the vapor pressure of water at the plane surface, we can use the Kelvin equation, which relates the vapor pressure of a droplet to the vapor pressure of the plane surface based on the surface tension and density of the liquid.
The Kelvin equation is given by:
where:
P is the vapor pressure of the droplet
P_0 is the vapor pressure of the plane surface
M is the molar mass of the liquid (in kg/mol)
is the surface tension of the liquid (in N/m)
? is the density of the liquid (in kg/m^3)
R is the gas constant (8.314 J/(mol·K))
T is the temperature in Kelvin
r is the radius of the droplet