One of the faces of a copper cube of side 7.7 cm is maintained at 100°C and the opposite face at 30°C. If the thermal conductivity of copper is `385 "Wm"^(-1) "K"^(-1)`. Calculate the rate of heat flow through the cube?
Text Solution
AI Generated Solution
To calculate the rate of heat flow through the copper cube, we can use the formula for heat conduction:
\[
Q = \frac{k \cdot A \cdot (T_1 - T_2)}{x}
\]
Where:
- \( Q \) is the rate of heat flow (in Watts or Joules per second),
...
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THERMAL CONDUCTION
ICSE|Exercise CONCEPTUAL SHORT ANSWER QUESTIONS WITH ANSWERS|8 Videos
One face of a copper cube of edge 10 cm is maintained at 100^(@)C and the opposite face is maintained at 0^(@)C . All other surfaces are covered with an insulating material. Find the amount of heat flowing per second through the cube. Thermal conductivity of copper is 385Wm^(-1) C^(-1) .
A sheet of rubber and a sheet of cardboard, each 5 mm thick are pressed together and their outer faces are maintained respectively at 0°C and 18°C. If the thermal conductivities of rubber and cardboard are respectively 0.13 and 0.05 "Wm"^(-1) "K"^(-1) . find the quantity of heat which flows in one hour across a piece of composite sheer if area is 100 "cm"^(-2) .
One face of an aluminium cube of edge 2 metre is maintained at 100^(@)C and the other end is maintained at 0^(@)C . All other surfaces are covered by adiabatic walls. Find the amount of heat flowing of heat thorugh the cube in 5 seconds. (thermal conductivity of aliminium is 209 W//m-.^(@)C)
Two parallel plates A and B are joined together to form a compound plate . The thicknesses of the plate are 4.0cm and 2.5cm respectively and the area of cross section is 100cm^(2) for each plate. The thermal conductivities are K_(A)=200Wm^(-1) C^(-1) for plate A and K_(B)=400Wm^(-1) C^(-1) for the plate B. The outer surface of the plate A is maintained at 100^(@)C and the outer surface of the plate B is maintained at 0^(@)C . Find (a) the rate of heat flow through any cross section, (b) the temperature at the interface and (c) the equivalent thermal conductivity of the compound plate.
A uniform copper rod 50 cm long is insulated on the sides, and has its ends exposedto ice and steam,respectively. If there is a layer of water 1 mm thick at each end, calculate the temperature gradient in the bar. The thermal conductivity of copper is 436 W m^(-1) K^(-1) and that of water is 0.436 Wm^(-1) K^(-1) .
One face of the a cube of side 0.2 m is in contact with ice and the opposite face is in contact with steam. If all other sides are well lagged, calculate the mass of ice that melts during one hour. Thermal conductivity of the metal =40 "Wm"^(-1) "K"^(-1) . L.H. of fusion of ice =336 "kJ kg"^(-1) .
A cylindrical metallic rod 0.5 m long conduct heat at the rate of 50 "Js"^(-1) when its ends are kept a 400^(@) C and 0^(@) C respectively. Coefficient of thermal conductivity of metal is 72 "Wm"^(-1) "K"^(-1) . What is the diameter of rod?
Two identical metal rods A and B are joined end to end. The free end of A is kept at 27°C and the free end of B at 37°C. Calculate the temperature of the interface. Thermal conductivity of A = 385 "Wm"^(-1) "K"^(-1) , that of B 110 "Wm"^(-1) "K"^(-1) .
A heat source at T = 10^(3) K is connected to another heat reservoir at T = 10^(2) K by a copper slab which is 1 m thick. Given that the thermal conductivity of copper is 0.1 WK^(-1)m^(-1) , the energy flux through it in steady state is :
The ends of a copper rod of length 1m and area of cross-section 1cm^2 are maintained at 0^@C and 100^@C . At the centre of the rod there is a source of heat of power 25 W. Calculate the temperature gradient in the two halves of the rod in steady state. Thermal conductivity of copper is 400 Wm^-1 K^-1 .
ICSE-THERMAL CONDUCTION-SELECTED PROBLEMS (Taken from the Previous Years ISC, AISSCE, HSSCE various States. Boards Roorke Qns & NCERT text) FROM EXPERIMENT TO DETERMINE K
