An experiment involves the flow of air at atmospheric pressure and \(300 \mathrm{~K}\) over an object of characteristic length \(L=1 \mathrm{~m}\) that is coated with species A. The measured average mass transfer coefficients are shown in the table. Determine the Schmidt, Reynolds, and Sherwood numbers for each case. If \(\overline{S h}\) is related to \(R e\) and \(S c\) by an expression of the form \(\overline{S h}=C R e_{L}^{m} S c^{n}\), determine the values of \(C, m\), and \(n\) by analyzing the experimental results. Based on the values you have determined for the expression, calculate the area-averaged mass transfer coefficient for evaporation of benzene in air flowing at a velocity of \(3.0 \mathrm{~m} / \mathrm{s}\) over the object.

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Species A V (m/s) 10 (m/s) Water 2 12 Naphthalene 1.5 3.6 Acetone 2.5 8.0