1.

A solid of constant heat capacity 1J"/"^(@)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 ofheat. (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:

Answer»

IN2, In2
ln2, 2ln2
2In2, 8ln2
ln2, 4ln2.

Solution :Case (i) `int dS =C[overset(423)underset(373)int (dT)/(T)+overset(473)underset(423)int (dT)/(T)]=" In "(473//373)`
Case (ii) `int dS =C [overset(385.5)underset(373)int (dT)/(T)+overset(398)underset(385.5)int (dT)/(T)+overset(410.5)underset(398)int (dT)/(T) +overset(423)underset(410.5)int (dT)/(T)`
`overset(435.5)underset(423)int (dT)/(T)+overset(448)underset(435.5)int (dT)/(T)+overset(460.5)underset(448) int (dT)/(T)+overset(473)underset(460.5)int (dT)/(T)]=" In (473/373)"`
None of the choice is correct.
If GIVEN TEMPERATURE are in Kelvin then answer will be (a).


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