Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoCalorimetryMedium2 minQB

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Passage / Comprehension

An engineer is instructed to design a tank to measure the heat capacity of liquids. The tank has insulating walls of negligible heat capacity, a hole in the bottom with a drain plug fitted with a light rod, and ten electric immersion heaters each rated 5 kW. Water is filled in the tank at 20°C and the heaters are switched on. After 15 hours the water starts boiling at normal atmospheric pressure. The water is drained and the tank is filled with oil of specific gravity 0.7. The oil takes 3.15 hours to heat from 20°C to 60°C at normal atmospheric pressure.

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From the report of the engineer the specific heat capacity of the oil is approximately :-

Options:

Answer:

Solution:

(9 and 10) In the case of water, $(5 \times 1 0^{3}) \times 10 \times 15 \times 3600 = V \times ρ_{w} \times S_{w} \times (100 - 20)$ In case of oil, $(5 \times 1 0^{3}) \times 10 \times 3.15 \times 3600 = V \times ρ_{O} \times S_{O} \times (60 - 20)$ After solving $S_{n} / S_{w} = 0.6$ and $V \times ρ_{n} = 5.7 \times 1 0^{3} kg$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Calorimetry

⏱ 2mℹ️ Source: QB

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