One end of a solid cylindrical copper rod 0.1500 m long and 0.0250 m in radius is inserted into a large block of solid hydrogen at its melting temperature, 13.84 K. The other end is blackened and exposed to thermal radiation from surrounding walls at 550.0 K. (Some telescopes in space employ a similar setup. A solid refrigerant keeps the telescope very cold-required for proper operation- even though it is exposed to direct sunlight.) The sides of the rod are insulated, so no energy is lost or gained except at the ends of the rod. See the sketch in (Figure 1 ) (a) When equilibrium is reached, what is the temperature of the blackened end? The thermal conductivity of copper at temperatures near 20 K is 1670 W/m. K. (b) At what rate (in kg/h) does the solid hydrogen melt? Figure Solid hydrogen, Hyd T-13.84 K Tc 2R Copper cylinder L < 1 of 1 www.Ts Part G Solve for the temperature of the blackened end of the rod. Express your answer in kelvins. ► View Available Hint(s) THot 14.31 K = Submit Previous Answers ✓ Correct Part H Use your result from the previous part to find the rate at which the hydrogen melts. Express your answer in kilograms per hour. ► View Available Hint(s) |Π| ΑΣΦ dmHyd/dt = 14.49 O www p ? kg/h Review | Constants.
Energy transfer
The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.
Molar Specific Heat
Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)
Thermal Properties of Matter
Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.
Please answer part H
We have, radius (r) = 0.025 m
Length (L) = 0.15 m
Thermal conductivity of copper (k) = 1670 W/m.k
Latent heat of fusion of copper (Lf) = 206 KJ/kg
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