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Problem #2. A cooking pan is being cooled down after being taken off a stove and put on a counter. The heat capacity of the pan is equal to 10 BTU $^\circ$F/lb$_m$ and the mass of the pan is 2.5 lb. The pan loses heat due to convection with the surrounding air at a rate of Q = -0.02(T$_{pan}$-T$_{room}$) where the temperatures are in $^\circ$F and the heat loss is in units of BTU/min, where the room temperature is constant at 70$^\circ$F. The pan is initially at 270 $^\circ$F when coming off the stove. What is the temperature of the pan as a function of time? Plot it using excel or another spreadsheet tool, see below. At what time will the pan reach 100$^\circ$ F?

          Problem #2. A cooking pan is being cooled down after being taken off a stove and put on a counter. The heat capacity of the pan is equal to 10 BTU $^\circ$F/lb$_m$ and the mass of the pan is 2.5 lb. The pan loses heat due to convection with the surrounding air at a rate of Q = -0.02*(T$_{pan}$-T$_{room}$) where the temperatures are in $^\circ$F and the heat loss is in units of BTU/min, where the room temperature is constant at 70$^\circ$F. The pan is initially at 270 $^\circ$F when coming off the stove. What is the temperature of the pan as a function of time? Plot it using excel or another spreadsheet tool, see below*. At what time will the pan reach 100$^\circ$ F?

Problem #2. A cooking pan is being cooled down after being taken off a stove and put on a counter. The heat capacity of the pan is equal to 10 BTU ^∘F/lbm and the mass of the pan is 2.5 lb. The pan loses heat due to convection with the surrounding air at a rate of Q = -0.02*(Tpan-Troom) where the temperatures are in ^∘F and the heat loss is in units of BTU/min, where the room temperature is constant at 70^∘F. The pan is initially at 270 ^∘F when coming off the stove. What is the temperature of the pan as a function of time? Plot it using excel or another spreadsheet tool, see below*. At what time will the pan reach 100^∘ F?

Added by Timothy T.

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