The village shaman is up to no good again. Having calibrated their pulley system, they now have a constant source of perfect liquid (cp,l=5R) potion at T=20.0C. They would now like disperse the potion amongst the villagers for some likely nefarious purpose... They decide to convert it to a vapor (cp,v=15R) and let it then become an aerosol, which the villagers will inhale unsuspectingly. The potion is known to vaporize at 70C with an enthalpy of vaporization hvap=25kJ/mol. (a) With the wind blowing northwest at 5m/s, the shaman decides to send 104 moles of potion the villagers way. How much heat will they need to raise the temperature of the potion to 90C and let it blow away? Ack! The plan didn't work at all... The shaman forgot to account for the distance to the village, and all the potion ended up condensing after traveling 1000m due to heat-exchange with air and falling to the ground well before reaching the village. Forecast says that it will be 15C tomorrow with northwest winds again at 4m/s. (b) Considering that the village is 1600m away (the shaman knows this since they time their mile-runs this way), to what temperature should the shaman heat the potion to ensure that it reaches the village at the time of condensation? In solving this problem, you may wish to consider different limiting cases for the shaman to make an informed decision (there is a difference between an estimate for which all the potion arrives as vapor to the village versus one molecule of it)