In preparation to attend a concert on a hot summer day, you straighten your hair to give yourself a new 'do. Unfortunately, it is very humid outside. Water vapor will penetrate your hair eventually causing it to spring back into its original shape. Springback occurs when the concentration of water vapor at the cuticle/cortex boundary exceeds \(0.85 \mathrm{~mole} / \mathrm{m}^{3}\). Using the data below and Figure P6.23, how long can you attend the concert before you frizz out.

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C = 1 mol/m k 5.0 x 10-9 m/s Ca=0.01 mol/m Dwk 1.0 x 10-14 m/s wh