A drop of acetone (MW 58.08kg/kmol,790kg/m3 ) is sitting on a flat surface in the shape of a perfect half sphere, 4mm in Diameter. The equilibrium vapor pressure of acetone in the air at the surface of the liquid is 23900Pa. The air around it is still and contains no acetone at a distance from the drop, is at 25C and atmospheric pressure (1.013 Bar). The diffusivity of acetone in air is 0.24cm2/s, and the universal gas constant R is 8314(m3Pa)/(kmolK). 1. Sketch the shape of a graph of the partial pressure of acetone (PA)vs.r, the distance from the center of the half sphere. 2. Derive an expression for the molar flux of acetone at the surface of the half sphere. Calculate this value at a diameter of the half drop of 4mm. 3. What is the total molar diffusion rate of acetone from the drop? 4. Using the pseudo-steady state assumption, derive an equation for the radius of the drop as a function of time. A drop of acetone (MW 58.08kg/kmol,790kg/m3 ) is sitting on a flat surface in the shape of a perfect half sphere, 4mm in Diameter. The equilibrium vapor pressure of acetone in the air at the surface of the liquid is 23900Pa. The air around it is still and contains no acetone at a distance from the drop, is at 25C and atmospheric pressure (1.013 Bar). The diffusivity of acetone in air is 0.24cm2/s, and the universal gas constant R is 8314(m3Pa)/(kmolK). 1. Sketch the shape of a graph of the partial pressure of acetone (PA)vs.r, the distance from the center of the half sphere. 2. Derive an expression for the molar flux of acetone at the surface of the half sphere. Calculate this value at a diameter of the half drop of 4mm. 3. What is the total molar diffusion rate of acetone from the drop? 4. Using the pseudo-steady state assumption, derive an equation for the radius of the drop as a function of time