Q1 A brass cube has an edge length of 33.2 cm at 20.0°C. Find (a) the increase in surface area and (b) the increase in volume when it is heated to 75.0°C. Q 2 In some cases, the coefficient of linear expansion varies with temperature, show that in that situation L = |1+ S, a(T)dT|.

Q1 A brass cube has an edge length of 33.2 cm at 20.0°C. Find (a) the increase in surface area and (b) the increase in volume when it is heated to 75.0°C. Q 2 In some cases, the coefficient of linear expansion varies with temperature, show that in that situation L = |1+ S, a(T)dT|.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.63P

See similar textbooks

Related questions

Q: 2. Determine k, thermal conductivity of a wall if q = 1000 kcal/m? -hr at thickness, k= 33 m 206

Q: One cool 5.0°C spring morning, Mason lays a brick sidewalk up to his house, placing the 25.0-cm-long…

A: Given data L0=0.25 mα=10×10-6/°C∆T=36-5°C=31°C

Q: A modern cabin has a concrete floor that is 4.50 inches thick. A roaring fire keeps the interior of…

Q: A 200 x 100 x 50 mm steel block is subjected to a hydrostatic pressure of 15 MPa. The Young's…

Q: 1. A beverage cooler is in the shape of a cube, 42 cm on each inside edge. Its 3.0-cm thick wall are…

Q: From the figure shown, Material 1 (brown) is enclosed inside Material 2 (grey). If there would be a…

A: Given:P=357.5 KND=88.75 mmμ=0.355E=88.56*109 Pa

Q: A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the…

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

Q: Two exactly similar wires, one of steel and the other of copper, are stretched by equal force. if…

Q: (a) A uniform picture of mass 10 kg hangs vertically as shown in Fig.2. Each of the two wires…

A: Given data Mass of picture =10 kgLength of wire = 0.5 mCross-sectional area of wire = 1 mm2Young's…

Q: The two cylindrical rod segments shown in the figure below (Figure 1) are fixed to the rigid walls…

Q: 10 km of steel railroad track are placed when the temperature is 20 C. The linear coefficient of…

A: Given, L = 10 Km = 10000 m T1 = 20 C α=11×10-6 1C T2 = 50 C

Q: Consider a plate formed by a non-homogeneous material with Young's modulus E(z) = Eo-zE1, with Eo,…

A: Given that: Young's modulus of plate EPoisson's ratio νν=-εlateralεlongitudnlThickness of the plate…

Q: A water tank is completely filled with liquid water at 40°C. The tank material is such that it can…

A: Water expands when the temperature rises and contracts when the temperature drops.The initial…

Q: 5. The coefficient of linear expansion of steel is 12 x 10-/C°. A railroad track is made of…

Q: A concrete swimming pool 12 m x 6 m x 2.5 m is filled with water to within 6 mm of the top when the…

A: Write the given data with suitable variables: L×B×H=12 m×6 m×2.5 mTi=10 °Cα=0.90×10-5 /°C

Q: 2. A brass ring of diameter 10.00 cm at 20.0°C is heated and slipped over an aluminum rod of…

A: Solution:

Q: 11. A 5.0 meter metallic post at 25 Celsius has a cross sectional area of 0.2 m^ 2. The post was…

A: The length of the metallic post is given as, L0= 5 m The initial temperature of the post is given…

Q: An electric heater producing 260 W of heat is used to warm up a room containing 7 m3 of air. If we…

A: Given data: The power producing by heater is P=260 W The volume of the air in the room is V=7 m3 The…

Q: A steel sphere 3” in diameter heated to 600oF, is to be cooled by immersion in an oil bath at 100oF.…

A: Lumped Heat Analysis: This method is used to find the temperature changes of a hot substance when it…

Q: Question The bronze bar 3 m long with a cross-sectional area of 430 mm2 is placed between two rigid…

Q: A rod 3 m long is heated from 10°C to 90°C. Find the expansion of rod. Take Young's modulus = 1.0 x…

A: Given data: Initial length of the rod (Li) = 3 m Initial temperature (Ti) = 10oC Final temperature…

Q: Two long rods of the same diameter, one of brass(k= 85 W/mK) and the other of copper (k=375 W/mK)…

Q: 2000Lbs 30% 60° y A' \ B The bar OA is fully constrained at O and attached to the cable AB.

A: Given Data: The length of bar AB is 20'. The coordinate of point B is (8',16',0). The force in the…

Q: A rod 3 m long is heated from 10°C to 90°C. Find the expansion of rod. Take Young's modulus = 1.0 *…

A: Ans. L=3m. T1 = 10°c ∆T=T2-T1 = 90-10=80°c T2 = 90°c…

Q: A rod is 3m long at a temperature of 15°C. Find the expansion of the rod, when the temperature is…

A: Given Data⇒ Length of rod(L) =3 m Initial Temperature Ti=15°CFinal Temperature Tf=95°C…

Q: A 21.00-m steel beam with 6.000 cm × 6.000 cm cross-section is supported at opposite ends by two…

Q: Q4. Two long rods of the same diameter, one of brass(k= 85 W/mK) and the other of copper (k=375…

A: Given: Conductivity of brass k1=85W/mK Conductivity of copper k2=375W/mK Distance at which…

Q: A construction worker punched a bamb00 wall (the wall has a shearing strength of 241 MPa). His hand…

Q: Example 2.12 An elastic rubber band is B, attached to points A and B. |3'm 2 m. Determine its length…

Q: Q3 / If the net energy absorbed in Impact test that occur for steel sample is 208 J. calculate the…

A: Net energy absorbed =208J First angle (θ1)=87 degrees Mass of hammer = 23 kg Hammer arm length = 90…

Q: 2. The coefficient of linear expansion of aluminum is 0.000023/C°. An aluminum rod 5 meters long is…

Q: A glass rod is 115 mm long and 12 mm in diameter experiences a temperature rise of 73 °C. Determine…

A: Given data: L=115 md=12 mm∆T=73°Cα=7.8×10-6°C-1 Need to determine the change in volume.

Q: 3. The propeller of a fishing boat is rigidly connected to a 3.8-cm. driveshaft through a 0.95- cm…

Q: An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density…

A: Data given-

Q: To ensure a tight fit, the aluminum rivet used in airplane construction are made slightly larger…

A: Write the given values along with the suitable variables.

Q: 4. A 200 x 100 x 50 mm steel block is subjected to a hydrostatic pressure of 15 MPa. The Young's…

A: Given data, Volume of the steel block, V=200×100×50 mm3 Hydrostatic pressure, P = 15 MPa Young's…

Q: n the diagram below, metal 1 is made of gold and metal 2 is aluminum. Both bars have the same length…

A: Given The value of temperature are Th=88.0°C and Tc=19°C. The thermal conductivity of gold is…

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

A: Given data: Ice at 0oC Thickness of Styrofoam = 2.0 x 10-3m Outer surface area = 0.016 m2 Outside…

Q: At a temperature of 21.4°C the hole in a steel plate has an area of 8.80 x 10 m. You heat the plate…

A: As per given Question Given data Initial temperature =21.4 °c Initial area=8.80×10^-5 m^2 Final…

Q: A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the…

Q: Q2. A thermo gate consist of an aluminum plate AB and a magnesium plate CD, each having a width of…

Q: How large an expansion gap should be left between steel railroad rails if they may reach a maximum…

A: Given data : Original length=L Coefficient of thermal expansion of steel=α Change in temperature=∆T…

Q: 1. A steel rod is measured at 60 cm when its temperature is 10 deg. C. What would be the value of…

A: Given Datalo=60cmT1=10°CT2=110°Cα=1.5×10-5/°C ***For rest question please repost that question only…

Q: H.W.12 A cast iron pipe has an inside diameter of d = 208 mm and an outside diameter of D = 236 mm.…

Q: A 5-inch square block made of a material with E= 150 ksi and a = 78 x 10 6/°F and length of 32…

Q: With a headloss of 17 m. in a 1600 m long cast-iron with f=0.020, determine the diameter in cm when…

Concept explainers

Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.

Question

In some cases, the coefficient of linear expansion varies with temperature, show
that in that situation ? = [1 + ∫ ?(?)?? ?
?0
].

Note: Q.2 also shown in the image.

Q1 A brass cube has an edge length of 33.2 cm at 20.0°C. Find (a) the increase in
surface area and (b) the increase in volume when it is heated to 75.0°C.
Q 2 In some cases, the coefficient of linear expansion varies with temperature, show
that in that situation L = |1+ S, a(T)dT|.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A 20 m steel rod is heated from 260C to 460C. Find the total elongationof the rod if coefficient of the thermal expansion of steel is 11.5 x 10-6m/m-0C.A. 4.60 mm C. 6.78 mmB. 2.34 mm D. 7.34 mm
A pressure difference of 35 pa is available to force -10c air. through a circular sheet metalduct 400 mm in diameter and 20m long. Find thevelocity in m/s. A.11.64 B.38.20 C.12.81 D.20.60 SHOW DETAILED SOLUTIONS
One spring is placed inside the other, not touching each other, and compressed between a pair of parallel plates until the distance between the plates is 40 mm. Make a neat detailed sketch of the spring and plate assembly. If G = 83 GPa for both springs, calculate the following: 1. The force applied to the spring assembly. 2. The shear stress induced in each spring. 3. The total strain energy stored in the spring assembly. 4. The stiffness of each spring. 5. The equivalent stiffness of a single spring that can be substituted in place of these springs.
The inside surface temperature of a glass oven door (0.5 m x 0.5 m x 0.001 m) is 180°C, the outside surface temperature is 25°C, and the thermal conductivity of glass is 1.4 W/(m•K) What is the rate of heat transfer?
The answer will be 733.16KN, 1.85 m Show complete solution and draw each step by step.
Can you show why the answer is this? Your answers are close, but why B to D member is zero how?
Q4. Two long rods of the same diameter, one of brass(k= 85 W/mK) and the other of copper (k=375 W/mK) have one of their ends inserted in a furnace and the other ends exposed to the same atmosphere. At a distance of 105mm away from the furnace, the temperature of the brass rod is 120' C. Find the distance from the furnace in which the copper rod have the same temperature.
Two exactly similar wires, one of steel and the other of copper, are stretched by equal force. if the total elongation is 2 cm, find how much is each wire elongated. Y for steel is 2x10^11 N/m^2 and for copper is 12x10^10 N/m^2. Ans: Steel: 0.75cm ; copper: 1.25m
A drill string is composed of 5,100 ft of 4½-in. drill pipe with a unit weight of 18 lbf/ft, 300 ft of 4½-in. heavyweight drill pipe with a unit weight of 41 lbf/ft of cross section 6.4023 in2, and 660 ft of 6¼-in. drill collars with a unit weight of 91 lbf/ft. If the drilling-fluid S.G 1,4 and assuming that the WOB is 34,000 lbf. Calculate the axial stress at the top of the hole and at the cross section located 2,000 ft from the top of the hole. Need Solution through 15min
The stepped shaft in the figure transmits 19.2 kW of power at 180 d/d (rpm). Determine the required shaft diameter using the maximum strain energy (Von Mises) hypothesis. Take (L=0.8 m, F=6kN, τem=72 MPa, σem= 108 MPa)
A glass windowpane in a home is 0.62 cm thick and has dimensions of 1.4 m × 1.8 m. On a certain day, the indoor temperature is 24°C and the outdoor temperature is 0°C. (a) What is the rate at which energy is transferred by heat through the glass? W(b) How much energy is lost through the window in one day, assuming the temperatures inside and outside remain constant? J
A room has a pine ceiling [ k = 0.12 W/(m•C°) ] that measures 3.0 m x 4.0 m x 2.0 cm. On a cold day, the temperature inside the room is 20°C, and the temperature in the attic above is 8°C. If 6.0 cm of glass wool insulation [ k = 0.042 W/(m•C°) ] were put in above the ceiling, how much energy would be saved in one hour? Please use gresa method