3. A metallic rod 20 cm long is heated to a uniform temperature of 100° C....
Let a metallic rod 22 cm in length be heated to a uniform temperature of 90°C. Suppose that at t-0, the ends of the bar are plunged into an ice bath at 0°C and thereafter maintained at this temperature, but that no heat is allowed to escape through the lateral surface Find the time that will elapse before the center of the bar cools to a temperature of 5°C if the bar is made of the following materials. (A computer...
a) If an iron rod 1.5 m long at 20 degree C and expands by 1.416 mm when heated to 100 degree C. Find the coefficient of linear expansion for iron. b) A large wooden barrel needs an iron band to be placed around the rim of its base. The iron band is made slightly smaller than the diameter of the barrel's base so that it may be heated placed over the barrel and shrunk tightly into place. If the...
Practice With Calorimetry And Heat 1. 75.0 g of cast iron was heated to 100°C and then plunged into 100 g of water. 23.0°C. Calculate the final temperature. Cast iron has specific heat of 0.46 19 2. A 25.0 g sample of an unknown metal at 99.5°C is placed into a calorimeter holding 50.0 g of water at 22.3°C. The final temperature was 26.2°C; what was the specific heat of the metal?
A long solid rod of constant thermophysical properties and radius ro is initially at a uniform temperature Tj. At time t = 0, the temperature of the peripheral surface at r=r, is changed to Tw and is subsequently maintained constant at this value for t> 0. (a) Show the governing equation with the boundary conditions. (b) Redefine the temperature for the homogeneous boundary conditions. (c) Show the separation of variables. (d) Show how to obtain the eigenvalues. (e) Obtain an...
Practice With Calorimetry And Heat 1. 75.0 g of cast iron was heated to 100°C and then plunged into 100 g of water at 23.0°C. Calculate the final temperature. Cast iron has specific heat of 0.46 J/gºc 2. A 25.0 g sample of an unknown metal at 99.5°C is placed into a calorimeter holding 50.0 g of water at 22.3°C. The final temperature was 26.2°C; what was the specific heat of the metal? 3. 30.0 g of water at 7.00°C...
Consider a 2 m long metal rod. The temperature u(z,t) at a point along the rod at any time t is found by solving the heat equation k where k is the material property. The left end of the rod ( 0) is maintained at 20°C and the right end is suddenly dipped into snow (0°C). The initial temperature distribution in the rod is given by u(x,0)- (i) Use the substitution u(z,t) ta,t)+20-10z to reduce the above problem to a...
One end of an insulated metal rod is maintained at 100 ∘C, while the other end is maintained at 0∘C by an ice-water mixture. The rod is 60.4 cm long and has a cross-sectional area of 1.25 cm2. The heat conducted by the rod melts 8.50 g of ice in 10.5 min. Find the thermal conductivity k of the metal.
The ends of a metal rod of length L = 100 cm and thermal diffusivity a = 1 are subjected to temperatures of 0 °C, that is to say T (0, t) = T (L, t) = 0 °C. Knowing that the temperature distribution at t = 0, is T(x,0) = 100 sin (2 x) – 50(34x). Note that the maximum temperature of the rod is in the center of the rod and it is equal to 150 °C. a)...
One end of an insulated metal rod is maintained at 100°C, and the other end is maintained at 0.00°C by an ice-water mixture. The rod is 54.0 cm long and has a cross-sectional area of 1.25 cm2. The heat conducted by the rod melts 8.50 g of ice in 11.0 min. Calculate the thermal conductivity k of the metal
A metal rod 25.0000 cm long at 25.0 °C is heated to 125 °C. The length of the rod is then measured to be 25.0025 cm. What is the coefficient of linear expansion of the metal? 0.0001 1/C O 0.000001 1/C 0.0000001 1/C 0.00001 1/C