An aluminum frying pan with mass 1.5kg is heated on a stove to180 °C, and then p

Question

An aluminum frying pan with mass 1.5kg is heated on a stove to180 °C, and then plunged into a sink containing 8.0 kg of waterat room temperature (20°C). Assuming that none of the waterboils, and that no heat is lost to the surroundings, what is theequilibrium temperature of the water and pan? A rocket is launched vertically upward at 2.1 km/s. How highdoes it go? An aluminum frying pan with mass 1.5kg is heated on a stove to180 °C, and then plunged into a sink containing 8.0 kg of waterat room temperature (20°C). Assuming that none of the waterboils, and that no heat is lost to the surroundings, what is theequilibrium temperature of the water and pan? A rocket is launched vertically upward at 2.1 km/s. How highdoes it go?

Explanation / Answer

Mass of pan M = 1.5 kg

Specific heat of aluminium C = 900 J / kg oC

Specific heat of water c = 4186 J / kg oC

Initial temp of pan t = 180 oC

Mass of water   m = 8 kg

Initial temp of water   t’ = 20 oC

Heat lost by pan = heat gain by water

    MC ( 180 –T ) = mc ( T – 20 )

243000 – 1350 T = 33488 T –669760

               34838 T = 912760

                          T = 26.2 oC

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