How Long Will It Take for the Floor to Dry Again After a Summer Storm?
What is the evaporation rate of water from the floor?
To calculate the time it will take for the floor to dry again, we need to consider the process of water evaporation and the diffusion of water vapor through the air film. Can you determine the evaporation rate of water from the floor?
Calculation of Evaporation Rate:
The evaporation rate can be determined using the equation: E = D × ΔC / Δx. Given that D = 0.28 cm^2/sec and Δx = 0.1 cm, we need to calculate ΔC.
First, let's calculate the saturation vapor pressure of water at 30°C using the Antoine equation. The saturation vapor pressure at 30°C is approximately 4242.23 Pa. Since the air outside the film is 55% saturated, the vapor pressure of water outside the film is approximately 2333.22 Pa.
The difference in vapor pressure between the air inside and outside the film is 0 Pa, resulting in an evaporation rate of 0 cm^3/sec. This means that no water is evaporating from the floor, and additional factors such as temperature or ventilation need to change for the floor to dry again.