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## Homework Statement

A solid with constant heat capacity is warmed from 20 C to 100 C in 3 different ways:

a) by placing it in contact with a large reservoir at 100 C

b) by placing it first in cantact with a large reservoir at 50 C until it reaches that temperature and then in contact with a reservoir at 100 C

c) by operating a reversible heat engine between it and the reservoir at 100 C

For each of these cases, what are the entropy changes of the solid, the reservoirs and the total entropy change?

## Homework Equations

[tex]\int_{T_i}^{T_f} \frac{C} {T} dT [/tex]

## The Attempt at a Solution

Because entropy is a state function, it is path independent and thus shouldn't the 'total' entropy change for all 3 be zero? Also, to actually calculate the entropy change in the gas we can simply integrate over the temperature difference. And the entropy change in the reservoirs should be the negative of that. Corrections please! :!!)