A person with wet hair is using a $1200$W hairdryer to dry their hair. The hair dryer emits hot air at a constant temperature of $60\backslash$deg C$.$ The hair has an initial moisture content of $15\%$ by mass and a temperature of $25\backslash$deg C$,$

Assuming steady$-$state conditions and neglecting any radiation effects, calculate the time it takes to reduce the moisture content of the hair to $5\%,$ given that the hair has a diameter of $0\mathrm{.}03$ cm and a length of $25$ cm$.$

The ambient temperature is $25\backslash$deg C$,$ and the relative humidity is $60\%.$

Surface area of hair used $4$m$^2$