An iron bar is held between a fire at fixed temperature, T1 = 444 C and the other end is embeddedinto a block of ice of mass m = 0.478 kg at 0 C. The latent heat of fusion of ice is 334 kJ/kg. Thethermal conductivity of metallic iron is 80 W/m-K. The length of the bar is /= 2.2 m and it has awidth of w = 0.203 m and height of h = 0.119 m. The density of iron is 7.874 kg/m^3. The specificheat capacity of iron is 0.44 kJ/kg-K and the specific heat capacity of water is 4.182 kJ/kg-K.a) At t=0, what is the power (J/s) of heat transfer across the bar?b) If T1 is held constant, how long does it take to melt the entire block of ice?c) Suppose now that as soon as all of the ice has melted the water is put into an insulatingcontainer. The iron bar is now heated completely to T1 and dropped, cheerfully and with recklessabandon, into the container. What is the final temperature of the system?

Answered: Image /qna-images/answer/be30dc45-8d0c-4279-8988-4b48a33d1678.jpg

Answered: An iron bar is held between a fire at…

Similar questions

Thank u! A copper rod has one end in ice at a temperature of O°C, the other in boiling water. The length and diameter of the rod are 1.80 m and 3.90 cm, respectively. At what rate in grams per hour does the ice melt? Assume no heat flows out the sides of the rod. Thermal conductivity of copper is 401 W/(m-K). Latent heat of fusion for water, Lf= 333.7 J/g. Water boils at 100°C
A mFe = 0.16 kg mass of iron is heated to 100∘C and then placed in a Styrofoam cup containing mw = 0.50 kg of water. Initially, the water and has a temperature of 27∘C. Find the equilibrium temperature of the system. cw = 4186 J/kg∘C and cFe = 460 J/kg∘C.
Ice of mass 10.0 kg at 0.00° C is placed in an ice chest. The ice chest has 2.00 cm thick walls of thermal coductivity 1.00 x 10^-5 kcal/s-m-C° and a surface area of 1.30m^2. (a) How much heat must be absorbed by the ice before it melts? (b) If the outer surface of the ice chest is at 30.0° C, how long will it take for the ice to melt?
The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m · K and 0.020 W/m · K respectively, while other tissues inside the body have conductivities of about 0.50 W/m · K. Assume that between the core region of the body and the skin surface lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. Rskin m2 · K/W Rfat m2 · K/W Rtissue m2 · K/W R m2 · K/W (b) Find the rate of energy loss when the core temperature is 37°C and the exterior temperature is 0°C. Assume that both a protective layer of clothing and an insulating layer of unmoving air are absent, and a body area of 2.0 m2. W
A heavy pot made of copper has a mass of 2.24 kg (including the lid) and is heated in an oven to a temperature of 154 °C. You pour 0.12 kg of water at 26.0 °C into the pot and quickly close the lid so that no steam can escape. We assume that no heat is lost to the surrounding. For copper, Ccopper 390 J/(kg.K) For water, Cwater 4190 J/(kg.K), L, = 2256 kJ/kg, L; = 333 kJ/kg. %3D What is the final mass of steam in the pot? on
A Styrofoam box has a surface of 0.78 m² and a wall thickness of 22.5 cm. The temper- ature of the inner surface is 1.8°C, and of the outside 12°C. If it takes 17.3 hours for 86 kg of ice to melt in the container, find the thermal conductivity of the Styrofoam. The latent heat of fusion of water is 3.34 x 105 J/kg. Answer in units of W/m/°C. Your response... i PALETTE