The initial temperature of a 50 cm long silver wire is 50 °C. The circumference of the wire in question is completely insulated, but both ends are kept at a temperature of 0 °C (zero degrees Celsius). Obtain the heat conduction along the wire as a function of time and position and, taking a single term in the solution, determine how many degrees Celsius the temperature in the middle of the rod will be after 7 minutes. (For silver wire, α=1.70 cm2/s.)

Q: Question 5: Z=62 a. An iron sphere of mass (Z + 300)g is kept in a container having boiling water…

A: Answer (a) Given data: m=300+62=362 gT1=100°CT2=25.5°CC=452 J/kg Need to determine the heat absorbed…

Q: 7. A 5-m-internal-diameter spherical tank made of 1.5-cm-thick stainless steel (k =15 W/m - °C) is…

A: The area of sphere at inner and outer surface is - Ai=4πri2=4π×2.52=78.54 m2,…

Q: You are asked to estimate the maximum human body temperature if the metabolic heat produced in your…

A: The temperature distribution is The thermal conductivity is The radius of cylinder is .The…

Q: A copper rod has an initial length 5.0 cm and a thermal expansion coefficient of 16 x 10-6 /K. It is…

A:

Q: 3) The two sides of a large plan wall are maintained at constant temperatures of T₁ = 120°C and T₂ =…

A:

Q: The temperatures on the left and right surfaces of a 15-cm thick wall are 375C and 85C . The wall is…

A: Given:Wall thickness, L=15 cmLeft side wall temperature, T1=375oCRight side wall temperature,…

Q: A steel bar 7 cm long is welded end to end to a copper bar 21 cm long. Both bars are insulated…

A: The temperature at the junction of the two bars is 28.12oC.

Q: 4-7 Two identical 7.5-cm cubes of copper at 425 and 90°C are brought into contact. Assuming that the…

A: To plot: The temperature of each block as a function of time, using lumped capacity method: Given:…

Q: 2. A 15 cm diameter aluminum ball is to be heated from 80°C to an average temperature of 200°C.…

A:

Q: Consider the following cases: Case 1: A rod with specified surface temperature. Case 2: A rod with…

A: Case 2 is the correct answer.

Q: The 40mm diameter steel rod AB shown in Figure 2 is resting on frictionless rollers between two…

A:

Q: A large concrete slab 1 m thick has one dimensional temperature distribution: T = 4 – 10x + 20x2 +…

A: This is the case of unsteady heat conduction and no internal heat generation.

Q: Two metal bars are kept at the same temperature and are aligned with their nearer ends separated by…

A: Given, Distance between two bar = 1 mm αs=10-5 C-1Ls=4 mαI=1.2×10-5 C-1LI=5 m

Q: The bottom of a 50mm diameter, 2mm thick metallic induction heater is 120C while its thermal…

A: Given                    Diameter, d = 50 mm Thermal conductivity, k = 60 W/mK…

Q: A machine element as seen in the figure is made of pure copper. It has an inner diameter of D;=2.9…

A: Given that, Inner diamter of element, Di=2.9 cm,Outer diameter of element, Do=5.9 cm,Height of…

Q: The time evolution of the temperature of an object follows the Newton's cooling laws dT dx where the…

A: Newtons Cooling Law is given as, dTdX=-k (T-Ts) K= 2.2 1/s   Ts =25.6 °C   t=0  T(t=0) = 200 °C   h=…

Q: kilograms of gas with a molecular weight of 28 is closed and equipped with an electrical resistor.…

A:

Q: An AISI stainless steel spherical canister is bath-cooled to store chemicals. The properties of the…

A:

Q: 2. Heat conduction in a square plate Three sides of a y+ rectangular plate (a = 5 m, b = 4 m) are…

A: The given problem is a case of 2D heat transfer problem in a rectangular plate. As there is no heat…

Q: You may have noticed that bridge decks are often built with expansion joints that permit the deck to…

A: To full fill the quality parameters , we can  not provide hand written solution…

Q: In a conduction heat transfer process through a solid slab layer taking place under steady-state…

A:

Q: 76. All surfaces of an infinitely lang heating element, having a cross section in the shape of a…

A: Given   Thermal conductivity, k = 35 W/m.K              Temperature, T1 = 400C…

Q: Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal…

A:

Q: a metal bar is made up of 3.0 cm of aluminum and 5.0 cm of steel. the free end of the aluminum bar…

A: Given data:

Q: 3. A sealed Styrofoam container is filled with water ico at 0° C. The thickness of the Styrofoam is…

A: The final answer is 99 grams. Please find the attached solution.

Q: Consider steady-state conditions for one-dimensional conduction in a plane wall having a thermal…

A:

Q: Determine the temperature distribution (nodal temperatures) of the structure shown in the figure…

A: Given : The thermal  conductivity is The convective heat transfer is The cross section area is The…

Q: The radius and the length of a cylindrical metal are 5.00 cm and 20.00 cm at 25°C, respectively.…

A: Given l=20.02 cm (del)T=85.25 degree C Q=9000 J

Q: How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3 cm that  has…

A:

Q: Two large containers A and B of the same size are filled with different fluids. The fluids in…

A: Answer: The metal bar will take 7.16683 min to reach 99.6℃ from the start of the process.

Q: Suppose that as a body cools, the temperature of the surrounding medium increases because it…

A: GivendTdt=kT-Tmk<0Tm=T2+BT1-TB>0

Q: store ice is made of wood 5.0 cm thick and has an effective area of 12,000 cm2 and thermal…

A: given x=5cm A=12000cm2 K=0.00027 cal/cm2-sec-°C/cm time t=24 hour  T out=25 oC T in=5 oC

Q: An element on a hot stove is maintained at a constant temperature of Thot = 105 °C and a pan is…

A:

Q: Consider you have four long, 2 cm diameter rods, one each made of copper, steel, wood, and glass.…

A: There are four rods of different material but having same dimensions as length 2 Cm each.All the…

Q: The bottom of a 50mm diameter, 2mm thick metallic induction heater is 120C while its thermal…

A:

Q: 1- A solid infinitely long cylinder, radius 2 cm, has uniform internal heat generation. The…

A:

Q: Find the temperature of a rod 0 < x < thermally insulated along the surface, if heat sources of…

A:

Q: Consider the following cases: Case 1: A rod with specified surface temperature. Case 2: A rod with…

A: Given:

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.