A metal ball of mass `1kg` is heated by means of a `20W` heater in a room at `20^(@)C` . The temperature of the ball becomes steady at `50^(@)C` . (a) Find the rate of loss of heat to the surrounding when the ball is at `50^(@)C` . (b) Assuming Newton's law of cooling, calculate the rate of loss of heat to the surrounding when the ball is at `30^(@)C` . (c) Assume that the temperature of the ball rises uniformly from `20^(@)C` to `30^(@)C` in `5` minutes. Find the total loss of heat to the surrounding during this period. (d) Calculate the specific heat capacity of the metal.

Answer

(a) 20 W; (b) `20 //3 ` W; (c ) 1000J ; (d) 500 J `//` kg K