A brick of copper initially at T1 = 298 K is connected to an electrical heater o

Question

A brick of copper initially at T1 = 298 K is connected to an electrical heater of negligible mass and covered with a flexible but thermally insulated (adiabatic) jacket. A current I = 1.00A is passed for 15 second in the heater of resistance R = 1 kO. (V=RI). The copper brick has mass 500g and heat capacity CP=24.4 (J K-1mol-1) constant over the temperature range of the experiment. All processes are reversible and performed at ambient pressure. Calculate the final temperature of the copper brick and the change in entropy of the copper.

Explanation / Answer

heat released by heater = i^2.R.t
= 15000 J

increase in temp of copper ,
mcT = 15000

T = 15000/(24.4 * 500/63.54)

= 78.12 degree

initial temp = 298K

final = 376.12 degree

entropy = q/T

= 15000/376.12 = 39.88 J/K

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