A solid body of constant heat capacity `1J//^@C` is being heated by keeping it 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 reservoir 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 :

Options

A. In2 , 2In2
B. 2In2, 8In2
C. In2, 4In2
D. In2, In2

Answer

D

Explanation

`DeltaS = int_(T_(1))^(T_(2))nc((dT)/(T))`
`DeltaS_(1) = int_(100)^(200)1((dT)/(T)) = ln2`
`DeltaS_(2) = int_(100)^(200)1((dT)/(T))= ln2`