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 C_A,i. The concentration C_A decreases linearly from this value to zero along the y-direction over a distance δ of 0.1 m in the air phase. Over this distance, the average velocity of the air stream is 0.033 m s^-1 and its velocity profile (in m s^-1) is given by v_z(y)=10y² where y is in meter.
Let C_A,m represent the flow averaged concentration. The ratio of C_A,m to C_A,i, is _______ (round off to 2 decimal places).