The SI unit for the diffusion coefficient is m²/s,but older texts sometimes report diffusion coefficients in units of in²/min.What is the value of a diffusion coefficient of 21.3 in²/min expressed in SI units? (2.54 cm = 1 in exactly) A) 9.02 × 10^-3 m²/s B) 3.25 × 10⁵ m²/s C) 14.0 m²/s D) 5.50 × 10² m²/s E) 2.29 × 10^-4 m²/s

Question

Quizplus · Accepted Answer

To convert the diffusion coefficient from in^2/min to m^2/s, first convert inches to meters (1 inch = 0.0254 meters), then minutes to seconds. $21.3 \, \text{in}^2/\text{min} = 21.3 \times (0.0254 \, \text{m})^2/\text{min} = 21.3 \times (0.0254)^2 \, \text{m}^2/\text{min}$. Since there are 60 seconds in a minute, divide by 60 to convert to seconds: $21.3 \times (0.0254)^2 / 60 \, \text{m}^2/\text{s} = 2.29 \times 10^{-4} \, \text{m}^2/\text{s}$.

The SI Unit for the Diffusion Coefficient Is M2/s,but Older

The SI Unit for the Diffusion Coefficient Is M²/s,but Older