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While sitting at the Hula Hut, you accidentally, and drunkedly, knock your froze

ID: 791386 • Letter: W

Question

While sitting at the Hula Hut, you accidentally, and drunkedly, knock your frozen Margarita into the warm waters of "Lake " Austin. Given that the margarita can be approximated as 100g of ice at 0 degree C upon entry to the water and that the water temperature is 83.5 degress Farenheit, calculate the change in the entropy of the universe between the time that the contents of the glass enter the lake and when thermal equilibrium is subsequently restored. State any approximations made in your calculation.

Explanation / Answer

The enthalpy of fusion of ice is 333 J/g

the ice is the system, "Lake is enough of the surroundings to do this.

83.5 degress Farenheit =28.61 degress= 301.6 K


100g iof water melts and absorbs (100 g)(333 J/g) = 33300 J of heat

delta S(sys) = q(sys)/T(sys) = (33300 J)/(301.6 K) = 121.98 J/K

delta S(surr) = q(surr)/T(sys) =