hw_4 - MS&E 303 Fall 2004 Homework#4 Due Friday September...

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Homework #4 – Due Friday September 25 1. You are in charge of the keg for the beach party during spring break. The social chair has tasked you with spending the absolute minimum on anything but the beer – so you cannot use anything but ice to keep the beer cool during the day. It’s a brisk 35 o C on the beach and you are not allowed to let the beer temperature rise above 5 o C. (i) What is the minimum number of kilograms of ice you must buy in order to keep the keg below 5 o C from 10:00 a.m. to 5:00 p.m.? (ii) Plot the temperature of the beer as a function of time during the day. For the purposes of this problem, you may assume: the beer is a half keg of Molson holding 15.5 gallons (165 12 oz glasses) undergraduates don’t actually drink, so the keg remains full throughout the day (for challenge credit, assume that it is consumed uniformly throughout the day). heat conduction into the keg from the sun and air is constant throughout the day at 150 J/s. beer may be approximated as pure water The beer and ice are initially at 0 o C (just above freezing). The beer and ice are always at the same temperature. Take c P for water and ice as constants (though not the same constants). 2. Any thermodynamic question can normally be reduced to a numeric expression involving
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This note was uploaded on 04/27/2008 for the course MSE 303 taught by Professor Thompson during the Fall '04 term at Cornell.

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hw_4 - MS&E 303 Fall 2004 Homework#4 Due Friday September...

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