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A spherical ball A of surface area 20 is kept at the cantre of a hollow spherical shell B of area . The surface of A & the inner surface of B emit as blackbodies. assume that the thermal conductivity of B IS POOR & that of A is high & there is vacuum between A&B. the heat capacities of A & B are 42J per *C & 82J per*C. Initially the temp of A is 100*C & that of B is 20*C. find the rate of change of temp of A & that of B @ this instant.


A spherical ball A of surface area 20  is kept at the cantre of a hollow spherical shell B of area . The surface of A & the inner surface of B emit as blackbodies. assume that the thermal conductivity of B IS POOR &  that of A is high & there is vacuum between A&B. the heat capacities of A & B are 42J per *C & 82J per*C. Initially the temp of A is 100*C & that of B is 20*C. find the rate of change of temp of A &  that of B @ this instant.


 


 


Grade:10

1 Answers

Abhishek Kumar
askIITians Faculty 255 Points
8 years ago
In given conditions, heat transfer is only through radiation.
Heat loss by spherical shell = Heat gained by inner ball = kA \Delta T/\Delta x
\Delta x = distance between the two surface

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