GATE CH 2021 CH Q48: Mass Transfer

As shown in the figure below, air flows in parallel to a freshly painted solid surface of width 10 m, along the z-direction.

The equilibrium vapor concentration of the volatile component A in the paint, at the air-paint interface, is

. The concentration

decreases linearly from this value to zero along the y-direction over a distance

of 0.1 m in the air phase. Over this distance, the average velocity of the air stream is 0.033 m s

and its velocity profile (in m s

) is given by

where y is in meter.

Let

represent the flow averaged concentration. The ratio of

is ________ (round off to 2 decimal places).

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