Input information
Schmidt number | dynamic viscosity | water (dynamic viscosity): 8.9×10^-4 Pa s (pascal seconds) mass density | water (density): 1 g/cm^3 (gram per cubic centimeter) diffusion coefficient | 1 m^2/s (square meter per second)
Results
Schmidt number | 8.9×10^-7
Possible intermediate steps
Calculate the Schmidt number using the following information: known variables | | η | dynamic viscosity | 8.9×10^-4 Pa s ρ | mass density | 1 g/cm^3 D | diffusion coefficient | 1 m^2/s Convert known variables into appropriate units using the following: 1 Pa s = 1000 g/(m s): 1 g/cm^3 = 1×10^6 g/m^3: known variables | | η | dynamic viscosity | 0.89 g/(m s) ρ | mass density | 1×10^6 g/m^3 D | diffusion coefficient | 1 m^2/s The relevant equation that relates Schmidt number (Sc), dynamic viscosity (η), mass density (ρ), and diffusion coefficient (D) is: Sc = η/(ρ D) Substitute known variables into the equation: known variables | | η | dynamic viscosity | 0.89 g/(m s) ρ | mass density | 1×10^6 g/m^3 D | diffusion coefficient | 1 m^2/s | : Sc = (0.89 g/(m s))/(1×10^6 g/m^3×1 m^2/s) Cancel the units in (0.89 g/(m s))/(1×10^6 g/m^3×1 m^2/s): Sc = 0.89/(1×10^6 1) Evaluate 0.89/(1×10^6×1): Answer: | | Sc = 8.9×10^-7
Equation
Sc = η/(ρ D) | Sc | Schmidt number η | dynamic viscosity ρ | mass density D | diffusion coefficient