The blacksmith from the first problem now plunges a hot (1370 degrees Celcius) steel horseshoe into a "slack tub" containing 55 kg of water at 18.5 degrees Celcius, to harden the steel. The 0.60 kg horseshoe is left there until it has reached thermal equilibrium with the water. Assuming that no heat is lost to the "slack tub" itself or the surroundings, what is the final temperature of the water, in SI units? [Specific heat capacities: steel: 420 J/kg/K, water: 4186 J/kg/K; assume them to be constant over this range of temperature] KTitan: the largest moon of Saturn, has a dense atmosphere rich in nitrogen, with some methane. It is cold enough for methane to exist in all 3 phases (solid: liquid and gas), just as water naturally does on Earth (ice, liquid water. water vapour). How much heat is released when 480 g of methane rain freezes on Titan? [I'he melting point of methane is 90.? K: and its latent heat of fusion is 58,999 Jikg]. Finnish saunas can reach temperatures as high as 130 - 140 degrees Celcius - which extreme sauna enthusiasts can tolerate in short bursts of 3 - 4 minutes. Calculate the heat required to convert a 2.1 Kg block of ice, brought in from an outside temperature of 8 degrees Celcius, to steam at 104.5 degrees Celcius in the sauna. [the specific heat capacity of water vapour is 1.996 kJiKgJK; see the lecture notes for the other specific heat capacities and specic latent heats]. A metal bar has a length 011.61 in and a diameter of 1.5 cm. One end is maintained at 313 K and the other at 39? K. The thermal conductivity is 2?? WImiK. Calculate how much energy is conducted along the bar in 4.5 mine. A foam insulation panel has an area of 1.6 m3. There is a temperature difference of 24.3 K maintained across the panel. The thermal power conducted by the panel is 6.4 W. (a) Calculate the U-value. select units (b) Calculate the R-value. select units