Engineering
Physics
Heat engine Refrigerator Entropy
Question

A solid body of constant heat capacity 1 J/ºC 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 same amount of heat.

(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat.

In both the cases body is brought from initial temperature 100°C to final temperature 200°C. Entropy change of the body in the two cases respectively is

ℓn2, 2ℓn2

ℓn2, 4ℓn2

ℓn2, ℓn2

2ℓn2, 8ℓn2

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Solution

ΔS=ΔQT=1ΔTT

ΔS=100150dTT=ℓn150100+ℓn200150=ℓn2