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  4. Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at 100° C , while the other one is at 0° C. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is -

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Q. Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at $100^{\circ} C$ , while the other one is at $0^{\circ} C$. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is -

NEETNEET 2016Thermal Properties of Matter

Solution:

Due to temperature heat capacity increase so heat capacity of second will greater than first.
Let heat capacity are $c_1$ & $c_2$ and common temperature $T$
so $mc_1 (T - 0) = mc_2 (100 -T) $
$ \frac{T}{100 - T} = \frac{c_2}{c_1} > 1 \{c_2 > c_1\}$
$T > 50 $