4) (9p) 1.5 kg of water is Initially at a temperature of 80"C. If 5.5x 10' J of heat is removed from the water, what is the state and final temperature of the system? If more than one phase is present in the final state, calculate the mass of the ice. Specific heat of water. was, = 4186J/ (kg.K) Specific heat of ice: ci -2090J/(kg.K)Thund Latent heat of fusion: Ly =33.5x10* J/kg Latent heat of vaporization: L - 22.6x10' J/kgHeat and Temperature Temperature (in Kelvin): T = To +273.15 Heat Required for a Temperature Change (without a Phase Change): Q -c.m . AT Hest Required for a Phase Change (Latent Heat): Q- tml his Heat Conduction: 2- K. 4.(AT) Power - Energy Time unit of power. watts 1 W - 1 J/s Thermal Radiation: & -. . . . 4.T' with a -5.6703x10- RT . but - 2.90 * 10'm . K T Water: Specific heat of water: water - 4186J/ (kg.K) of ice ice - 2090J/ (kg.K) Latent heat of fusion: Ly = 33.5x10* J/kg Latent heat of vaporization: L, - 22.6 x 10 JIKy Show your work! In order to get full credit, you need to document your problem-solving s. (e.g. equations, arguments, calculations) so a reader can follow how you got your result. Use the correct units in your answers or you will lose points 1) (6p) Assume the surface area of a person is 1.6 m', the emissivity of skin is 0.97, and that her average skin (= surface) temperature is 33.C. Calculate the net power ( Power = (/: ) of heat transfer between the person's body and the surrounding due to thermal radiation, when the temperature of her surrounding is 22"C. Skin Suface Temp (71)= 330C+273.15= 30b. 15k Temperature of Surwading (Ta)- 2396+273. 15- 295. ISK eo'ACT,*- T." ) (0. 97) (5. 6703 x10-3) (1.6) (306.15+ - 295:15#) = 1.05213879 x 102. J (105. 26387932) 2) (4p) When you detect the radiation given off by a wood fire, you find that the radiation given off the most has a wavelength of 2000 nm. Calculate the temperature of the fire. Give your answer in degrees Celsius