A solid body of constant heat capacity $1$ $J/{}^ \circ C$ 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 ${100^ \circ }C$ to final temperature ${200^ \circ }C$. Entropy change of the body in the two cases respectively is :

Question

A solid body of constant heat capacity $1$ $J/{}^ \circ C$ 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 ${100^ \circ }C$ to final temperature ${200^ \circ }C$. Entropy change of the body in the two cases respectively is :

$ln2, 2ln2$

$2ln2, 8ln2$

$ln2, 4ln2$

$ln2, ln2$

Solution

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