# Mass Transfer Coefficient

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Mass transfer coefficient, abbreviated as K, a dimensionless number, is a porportional constant to the difference in the concentrations and the rate of mass transfer.

## Mass Transfer Coefficient formula

 $$\large{ K = \frac {\dot {m}_t }{A \; \Delta F_c} }$$

### Where:

 Units English Metric $$\large{ K }$$ = mass transfer coefficient $$\large{dimensionless}$$ $$\large{ \Delta F_c }$$ = driving force concentration differential $$\large{lbf}$$ $$\large{N}$$ $$\large{ A }$$ = effective mass transfer area $$\large{ft^2}$$ $$\large{m^2}$$ $$\large{ \dot {m}_t }$$ = mass transfer rate $$\large{\frac{lbm}{sec}}$$ $$\large{\frac{kg}{s}}$$

## Related Mass Transfer Coefficient formula

 $$\large{ K = \frac { Sh \; D} {l_c} }$$ (Sherwood number)

### Where:

$$\large{ K }$$ = mass transfer coefficient

$$\large{ l_c }$$ = characteristic length

$$\large{ D }$$ = diffusion coefficient

$$\large{ Sh }$$ = Sherwood number 