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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoCalorimetryMedium2 minQB

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Passage / Comprehension

A calorimeter of mass $m$ contains an equal mass of water in it. The temperature of the water and calorimeter is $t_{2}$ . A block of ice of mass $m$ and temperature $t_{3} < 0^{\circ} C$ is gently dropped into the calorimeter. Let $C_{1}$ , $C_{2}$ and $C_{3}$ be the specific heats of calorimeter, water and ice respectively and $L$ be the latent heat of ice.

The whole mixture in the calorimeter becomes ice if

Options:

Answer:

Solution:

Heat needed to bring the ice to its freezing point:
$Q_{i} = - m C_{3} t_{3}$
Maximum heat released by water and calorimeter on freezing:
$Q_{f} = m (C_{1} + C_{2}) t_{2} + m L$
Complete freezing requires
$Q_{i} > Q_{f}$
$C_{1} t_{2} + C_{2} t_{2} + L + C_{3} t_{3} < 0$
Equality is the boundary with all ice at
$0^{\circ} C$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Calorimetry

⏱ 2mℹ️ Source: QB

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