Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at a temperature of 10 0 ∘ C while the other one is at 0 ∘ C . If the two are brought into contact, then, assuming no heat loss to the environment, the final temperature that they will reach is

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PhysicsHeat & ThermoCalorimetryMedium2 minQB

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Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at a temperature of $10 0^{\circ} C$ while the other one is at $0^{\circ} C .$ If the two are brought into contact, then, assuming no heat loss to the environment, the final temperature that they will reach is

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Answer:

Solution:

The hotter body has larger effective heat capacity:
$c_{1} > c_{2}$
Heat lost equals heat gained:
$m c_{1} (100 - T) = m c_{2} (T - 0)$
Hence:
$100 - T < T$
$T > 5 0^{\circ} C$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Calorimetry

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