Asmall pebble is heated and placed in a foam cup calorimeter containing 25.0 ml of water at 23.0°c. the water reaches a maximum temperature of 24.2°c. how many joules of heat were released by the pebble? (the specific heat capacity of water is 4.18 j/g•°c and the density of water is 1.00 g/ml)

Athin electrical heater is inserted between a long circular rod and a concentric tube with inner and outer radii of 20 and 40 mm. the rod (a) has a thermal conductivity of ka = 0.15 w/(m*k), while the tube (b) has a thermal conductivity of kb = 0.8 w/(m*k) and its outer surface is subjected to convection with a fluid of temperature t= -15°c and heat transfer coefficient 60 w/(m2 *k). the thermal contact resistance between the cylinder surfaces and the heater is negligible. (a) determine the electrical power per unit length of the cylinders (w/m) that is required to maintain the outer surface of cylinder b at 15°c. (b) what is the temperature at the center of cylinder a?