Solve the below:
Q: A radioactive sample is to be stored in a protective box with 4 cm thick walls having interior dimensions 4 by 4 by 12 cm. The radiation emitted by the sample is completely absorbed at the inner surface of the box, which is made of concrete. If the outside temperature of the box is 25°C, but the inside temperature is not to exceed 50°C, determine the maximum permissible radiation rate from the sample, in watts.
GIVEN
A radioactive sample in a protective concrete box
Wall thickness (t) = 4 cm = 0.4 m
Box interior dimensions: 4 A? 4 A? 12 cm
All radiation emitted is completely absorbed at the inner surface of the box
The outside temperature of the box (To) = 25°C
The maximum inside temperature (Ti) = 50°C
ASSUMPTIONS
The system is in steadystate
