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A solid body X of heat capacity C is kept in an atmosphere whose temperature is T A =300K. at time t=0, the temp. of X is T O =400K. It cools according to Newton?s law of cooling. At time t 1 its temp. is found to be 350K. at this time t 1, the body X is connected to a larger body Y at atmospheric temp. T A , through a conducting rod of length L , cross-sectional area A and thermal conductivity K. the heat capacity of Y is so large that any variation in its temp. may be neglected. The cross-sectional area A of the connecting rod is small compared to the surface area of X. find the temperature of X at time t=3 t 1.


A solid body X of heat capacity C is kept in an atmosphere 

whose temperature is TA=300K. at time t=0, the temp. of X is TO=400K. It cools according to Newton?s law of cooling. At time t1 its temp. is found to be 350K. at this time t1, the body X is connected to a larger body Y at atmospheric temp. TA, through a conducting rod of length L , cross-sectional area A and thermal conductivity K. the heat capacity of Y is so large that any variation in its temp. may be neglected. The cross-sectional area A of the connecting rod is small compared to the surface area of X. find the temperature of X at time t=3 t1.


Grade:10

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