Two 200-g copper containers, each holding 0.7 L of water, are connected by a 10-cm copper rod of cross-sectional area 1.5 cm2. Initially, one container is at 60oC; the second is maintained at 0oC.

(a) Show that the temperature tc of the first container changes over time t according to tc = tc0e???t/RC where tc0 is the initial temperature of the first container, R is the thermal resistance of the rod, and C is the total heat capacity of the container plus the water.

(b) Evaluate R, C, and the "time constant" RC.

(c) Show that the total amount of heat Q conducted in time t is

(d) Find the time it takes for the temperature of the first container to be reduced to 30oC

Transcribed Image Text:

URC) Q = Cl(1 - e "RC)