Butanol liquid is sprayed in air to form butanol droplets. These droplets are spherical with a given radius and the surface tension for the butanol-air interface at 298K is 26mN/m. The density of liquid butanol is 0.82g/cm3 and its vapor pressure is 0.0733 bar. (a) If all the droplets are 7nm (radius), what would be the vapor pressure of the droplet at 298K? (b) Make a plot of vapor pressure of droplets as a function of size from 1 to 25nm. At what radius is the ratio of the droplet vapor pressure to the bulk vapor pressure equal to 1.2 ? (c) In reality, there is never a single size for a droplet but a distribution of droplet sizes. If the following equations could be used to estimate the average vapor pressure (P) of a normal distribution of droplet sizes. For (r) and 1(r) the r should be in units of nm. What would be the average vapor pressure with a standard deviation (s.d.) of 2.5nm and r=7nm ? How much error does the single pore size result based on this distribution (compare to part a). P=1Pvap(T)exp[rRT2VL]1(r)dr where (r)=sd21exp[2(sd)2(rr)2] and 1(r)=1(r)1(r)