A monster turnip (assumed spherical) weighing in at 0.45 kg is dropped into a cauldron of water boiling at atmospheric pressure. If the initial temperature of the turnip is 17?C, how long does it take to reach 92?C at the center? Assume thathc = 1700W/(m2 K) cρ = 3900 J/(kg K)k = 0.52 W/(m K) ρ = 1040 kg/m3GIVENA turnip is dropped into boiling waterMass of turnip (M) = 0.45 kgWater is boiling at atmospheric pressureInitial temperature of the turnip (To) = 17?CASSUMPTIONSHeat transfer coefficient (hc) = 1700 W/(m2 K)Specific heat (cρ) = 3900 J/(kg K)Thermal conductivity (k) = 0.52 W/(m K)Density (ρ) = 1040 kg/m3The specific heat of the turnip is constantAltitude is sea level, therefore, temperature of boiling water (T??) = 100?COne dimensional conduction in the radialdirection

Transcribed Image Text:

Turnip o Bollng Water O.