A solid body of constant heat capacity 1 J ℃ - 1 is being heated by keeping it in contact with reservoirs in two ways: (i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies the same amount of heat. (ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies the same amount of heat. In both, cases the body is brought from initial temperature 100 K to

Step-by-step solution

Change in entropy, d S = d Q T Δ Q =   heat   supplied = C Δ T             C = J   ° C - 1 d Q = C d t d S = C d T T Intergrating   both   sides ∫ S i S f d S = C ∫ d T T     ⇒ S f − S i = Δ S = C . ln T | 100 200 ⇒ Δ S = C [ ln 200 − ln 100 ] = C ln 2 and     C = J   ° C - 1 ⇒     Δ S = ln 2 Entrpoy change in same