A small droplet of liquid detergent, falling through air in a spray drying tower, has its diameter reduced as water evaporates from the surface. If it is assumed that the temperature of the liquid within the drop remains at 290 K and the dry air is at 310 K, determine the concentration of water vapor in the surrounding bulk air stream within the drying tower. The total system pressure is 1.0 atm, and the film average gas temperature is 300 K. 

Potentially useful data: kinematic viscosity of air at 300 K, v_air = 1.57 × 10^-5 m²/s; thermal diffusivity of air at 300 K, α = 2.22  × 10^-5 m²/s; gas-phase diffusion coefficient of water vapor in air at 300 K, D_A-air = 2.63 × 10^-5 m²/s; density of air at 300 K, ρ_G = 1.18 kg/m³; heat capacity of air at 300 K, C_p,air = 1006 J/kg · K; latent heat of vaporization of water at 290 K, ΔH_v,A = 2.46 kJ/g H₂O; vapor pressure of water at 290 K, = 1.94 × 10³ Pa.