It was observed that a given amount of water (referred to below as species A) placed into a pot and left to sit at 25 oC completely evaporated in exactly 2 days. Based on the additional information given below, how long would it take to evaporate the same amount of water if it is instead kept at 70 oC (i.e. temperature of rather hot coffee)?

Please use the below given reasonable estimates:

mass transfer coefficient hm at 25 oC: 1 10-3 m / sec mass transfer coefficient hm at 70 oC: 1 10-2 m / sec concentration of water vapor above the liquid cA,surf at 25 oC: 1 gmol/m3 concentration of water vapor above the liquid cA,surf at 70 oC: 10 gmol/m3 concentration of water vapor in kitchen air: cA,bulk = 0.5 gmol/m3 surface area of pot available for evaporation: 0.04 m2

Note that not all of the given information may be required. Please show all work.