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 tow cases respectively is :

Options

A. ln2,2ln2
B. 2ln2,8ln2
C. ln2,4ln2
D. ln2,ln2

Answer

D

Explanation

`triangleS=(triangleQ)/(T)=(1triangleT)/(t)`
`triangleS=overset(150)underset(100)intI(dT)/(T)=ln(150)/(100)+ln`(200)/(150)`
`=ln2`