Water at $25\backslash$deg C completely wets the pores of a filter paper $($zero contact angle$).$ In an experiment of measuring the distance h that the moving front of absorbed water has travelled, when the filter paper is partly dipped into water, it is found that h varies linearly with the square root of time t that has passed from the beginning of the flow. In $1$ minute, the moving front has travelled a total distance of $4\mathrm{.}5$ cm$.$ In a second experiment, the same fliter paper is partly dipped in ethanol at the same temperature. If ethanol completely wets the pores of the filter paper, calculate the distance that the moving front will travel in $1$ min assuming no evaporation effects. $($You need to look up the relevant properties of both water and ethanol$)$