(a) A piece of unknown metal weighs 77.1 g. When the metal piece absorbs 0.229 kJ of heat, its temperature increases from 25.6 °C to 38.4 °C. Determine the specific heat of this metal, and predict its identity (see link to table below). (b) If this same piece of metal at 38.4°C is now added to 51.4 mL of water at 22.7°C, what is the final temperature of the water and the metal (in K)? (Note: The density of water is 1.00 g/mL.) Hint: You should convert temperatures to K.

What is the ratio of the energy required to warm 125 g of Ice (0.0 \deg C) to body temperature (37 \deg C) to warming the same amount of water through the same temperature change? Answer format is the number Eice/Ewater = (2 significant figures) Latent Heat of Fusion of Water: 335, 000 J/kg Specific Heat Capacity of Water: 4186 J/kg/\deg C

Solve the following: a) A house walls that are 15 cm thick and have an average thermal conductivity four times that of glass wol. Assume there are no windows or doors. The walls' surface area is 950000 cm? and their inside surface is at 23 °C, while their outside surface is at 4°C. (Thermal conductivity of glass wool is 0.042 W/m°C) O Calculate the rate of heat conduction through house walls? (ii) How many 150W room heaters would be needed to balance the heat transfer due to conduction? (approximate number) b) A spherical infrared heater of radius 5.15 cm has an emissivity of 0.75. What temperature must it run at if the required power is 0.38 kW? Neglect the temperature of the environment. (Stefan's constant = 5.67*10-8 Wm 2K4) The temperature of the heater in Celsius =