A block of ice at − 2 0 ∘ C having a mass of 2 kg is added to a 3 kg water at 1 5 ∘ C . Neglecting heat losses and the heat capacity of the container

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoCalorimetryMedium2 minQB

PhysicsMediummultiple choice

A block of ice at $- 2 0^{\circ} C$ having a mass of $2 kg$ is added to a $3 kg$ water at $1 5^{\circ} C$ . Neglecting heat losses and the heat capacity of the container

Options:(select one or more)

Answer:

A, B

Solution:

Heat needed to warm the ice:
$Q_{i} = 2000 (0.5) (20) = 20000 cal$
Heat released by water cooling to freezing:
$Q_{w} = 3000 (15) = 45000 cal$
Heat needed to melt all ice:
$Q_{m} = 2000 (80) = 160000 cal$
The surplus after warming is insufficient for complete melting.
$Q_{w} - Q_{i} = 25000 cal < Q_{m}$
Temperature is at freezing; ice melts partly.

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Calorimetry

⏱ 2mℹ️ Source: QB

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